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Efficient mass-preserving finite volume approach for the rennet-induced coagulation equation Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Mehakpreet Singh, Nikhil Sriwastav, Orest Shardt
The coagulation of casein micelles caused by enzymes is a critical step in the dairy industry for cheese manufacture. During enzymatic coagulation of milk, three processes occur: enzymic proteolysis, coagulation, and gelation. This study presents the first numerical approach based on a finite volume scheme for describing the enzyme-induced coagulation of casein micelles. The finite volume scheme is
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Suppressing chaotic oscillations of a tether anchored to the Phobos surface under the L1 libration point Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Vladimir S. Aslanov
The paper deals with the problem of the chaotic behaviour of a tethered system anchored on the Phobos surface directly under the L1 collinear libration point. Two gravitational forces of Mars and Phobos, plus a centrifugal force due to the rotation of the Mars-Phobos system, act on the tether. These forces vary with time due to the small eccentricity of the Mars-Phobos orbit. The basic assumptions
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Design and application of multiscroll chaotic attractors based on a novel multi-segmented memristor Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Jie Zhang, Jiangang Zuo, Meng Wang, Yan Guo, Qinggang Xie, Jinyou Hou
Introducing memristors into the traditional chaotic system can generate multiscroll chaotic attractors, expanding possibilities for information processing and chaotic applications. This paper first proposes a novel multi-segment memristor model based on a multi-segment linear function. Then, based on the Sprott-B system, one-directional memristive multiscroll chaotic attractors (1D-MMSCAs), 2D-MMSCAs
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Complexity from ordinal pattern positioned slopes (COPPS) Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Jean Sire Armand Eyebe Fouda, Wolfram Koepf, Norbert Marwan, Jürgen Kurths, Thomas Penzel
Measuring complexity allows to characterize complex systems. Existing techniques are limited to simultaneously measure complexity from short length data sets, detect transitions and periodic dynamics. This paper presents an approach based on ordinal pattern positioned slopes (OPPS). It considers exclusively OPPS group occurrences to compute the complexity from OPPS (COPPS) as the average number of
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Fractal surfaces in Lebesgue spaces with respect to fractal measures and associated fractal operators Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Rattan Lal, Subhash Chandra, Ajay Prajapati
The goal of this article is to study the fractal surfaces and associated fractal operator on Lebesgue spaces with respect to fractal measures. First, we show that fractal surfaces belongs to Lebesgue spaces under certain conditions. Then, we define a fractal operator on Lebesgue spaces and discuss some analytical properties of it. Moreover, we show the existence of Schauder basis of the associated
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Higher order investigation on modulated waves in the Peyrard–Bishop–Dauxois DNA model Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Arnaud Djine, Nkeh Oma Nfor, Guy Roger Deffo, Serge Bruno Yamgoué
Despite the widespread use of transcendental functions in the modeling of the dynamics of DNA, most research efforts are limited in their analytical studies of this enthralling system to cubic order polynomial approximations of the corresponding equations of motion. In this paper, we present an investigation of waves in the Peyrard–Bishop–Dauxois model of DNA; while extending the polynomial approximation
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The mKdV equation under the Gaussian white noise and Wiener process: Darboux transformation and stochastic soliton solutions Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Rui-rui Yuan, Ying Shi, Song-lin Zhao, Wen-zhuo Wang
In this paper, we propose a novel integrable system named the stochastic mKdV equation, along with its corresponding Lax pair. We aim to extend the methodology of deterministic integrable systems to construct and solve stochastic integrable systems. The Darboux transformation effectively obtains analytic solutions for the integrable stochastic mKdV equation. Using the Darboux transformation, soliton
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Stability, period and chaos of the evolutionary game strategy induced by time-delay and mutation feedback Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-06 Yifei Wang, Xinzhu Meng, Abdullah Khames Alzahrani
In the classical evolutionary game theory, mutation is usually considered as a constant, however strategy mutation is affected by strategies in the real game process. Therefore, the main purpose of this paper is to study the effects of mutation feedback and time delays on strategy dynamics, where mutation is a linear feedback related to strategy. First, we construct a co-evolutionary game model with
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Double well stochastic resonance for a class of three-dimensional financial systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-05 Jianjun Wu, Lu Xia
The significant changes in factors such as interest rates, investment demand, and price indices greatly influence the response patterns of the financial system, bringing about increased uncertainty to financial markets. Exploring methods to enhance financial stability and regulatory capabilities, effectively mitigating market disruptions caused by emerging phenomena, constitutes a highly meaningful
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Fixed-time synchronization of Inertial Cohen-Grossberg Neural Networks with state dependent delayed impulse control and its application to multi-image encryption Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-05 P. Kowsalya, S.S. Mohanrasu, Ardak Kashkynbayev, P. Gokul, R. Rakkiyappan
In this paper, we discussed about fixed-time synchronization (FXTS) of Inertial Cohen-Grossberg Neural Networks (ICGNNs) with state-dependent delayed impulses. The Lyapunov stability theory and several useful criteria are utilized to make sure that the control parameters are selected in sync with the intended settling time. Two types of the controller are developed in order to guarantee that error-delayed
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Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-05 Fan-feng Shi, Tao Li, Hao-yu Hu, Yi-fei Li, Dan Shan, Dong Jiang
This paper proposes a real-time video encryption strategy based on multi-round confusion–diffusion architecture and heterogeneous parallel computing. It leverages the powerful computing capacity of the Central Processing Unit (CPU) and the high parallel capability of the Graphics Processing Unit (GPU) to perform byte generation, confusion and diffusion operations concurrently, thereby enhancing computational
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A kill chain optimization method for improving the resilience of unmanned combat system-of-systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-04 Yuanfu Zhong, Hongxu Li, Qin Sun, Zhiwen Huang, Yingchao Zhang
Unmanned combat system-of-systems (UCSoS) refers to a new type of combat force composed of unmanned combat platforms with different capabilities and whose structure can be topologized as a heterogeneous network. Enemy damage to network nodes can lead to degradation of UCSoS performance, making it crucial to enhance its battlefield resilience. Due to resource and time constraints, the traditional structural
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Stochastic disturbance with finite-time chaos stabilization and synchronization for a fractional-order nonautonomous hybrid nonlinear complex system via a sliding mode control Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-04 R. Surendar, M. Muthtamilselvan, Kyubok Ahn
This paper provides a novel approach to studying the chaos control and synchronization of fractional-order hybrid Darcy–Brinkman systems (FOHDBs). We use the truncated Galerkin method to transform the system of partial differential equations (PDEs) into ordinary differential equations (ODEs) based on Fourier modes in a nonlinear low-dimensional Brinkman model. In the nonlinear complex system, hybrid
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Spatiotemporal wavelet-domain neuroimaging of chaotic EEG seizure signals in epilepsy diagnosis and prognosis with the use of graph convolutional LSTM networks Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-04 Njud S. Alharbi, Stelios Bekiros, Hadi Jahanshahi, Jun Mou, Qijia Yao
In the crucial arena of neurological care, pre-seizure, and seizure diagnosis stand as imperative focal points. While existing literature has probed this area, it demands sustained exploration given the intricate nature of seizures and the profound implications of prompt diagnosis on patient prognosis. Greater insights and novel advancements in the field of epilepsy diagnosis and prognosis can significantly
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Tunable resource allocation dynamics for interpreting economic complexity Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-04 Zhuo-Ming Ren, Li Zhao, Wen-Li Du, Tong-Feng Weng, Chuang Liu, Yi-Xiu Kong, Yi-Cheng Zhang
A lot of effort has been devoted to network structural interpretations of the economic complexity which can affect the level of economic growth and the activities of economic entities, although it remains unknown how network dynamical interpretations on which the economic complexity index operates affects its performance. Here, we regard export trade flows as the dynamics of resource allocation, and
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Emergent dynamics in fractional-order Wilson–Cowan neural network systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-03 Argha Mondal, Eva Kaslik, Sanjeev K. Sharma, Chinmay Chakraborty, M.A. Aziz-Alaoui
The firing dynamics of excitable systems are critical to understand organized responses in cortical networks. In this paper, we examine a fractional-order Wilson–Cowan (W–C) neural network model composed of excitatory and inhibitory neuron populations, utilizing Caputo’s fractional-order derivative formalism to explore the influence of fractional-order dynamics on firing behavior. The significance
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Moments of undersampled distributions: Application to the size of epidemics Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Álvaro Corral
The total number of fatalities of an epidemic outbreak is a dramatic but extremely informative quantity. Knowledge of the statistics of this quantity allows the calculation of the mean total number of fatalities conditioned to the fact that the outbreak has surpassed a given number of fatalities, which is very relevant for risk assessment. However, the fact that the total number of fatalities seems
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A cross horizontal visibility graph algorithm to explore associations between two time series Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Jin-Long Liu, Zu-Guo Yu, Yu Zhou
We propose a cross horizontal visibility graph (CHVG) algorithm to explore associations between two time series. As a natural extension of the classic horizontal visibility graph algorithm, the proposed CHVG algorithm can preserve merits of the classic algorithm in construction and implementation. To verify the effectiveness of the CHVG algorithm, we design numerical simulations by generating paired
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A novel text clustering model based on topic modelling and social network analysis Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Babak Amiri, Ramin Karimianghadim
Document clustering is a well-known text-mining method that assists in the categorization and comprehension of textual data. Document clustering is vital in areas like information retrieval, knowledge management, and marketing, underscoring the need for a highly accurate clustering model. Current models in document clustering face significant hurdles, such as dealing with sparse, high-dimensional representations
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Feedback resonance in Fermi–Pasta–Ulam chain Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Egor Usik, Natalia Amelina, Alexander L. Fradkov
A controlled version of the celebrated Fermi–Pasta–Ulam problem is introduced. The feedback control algorithm based on Speed-gradient approach is proposed and analyzed by extensive computer simulation. It is demonstrated that the feedback controlled system tends to approximate equipartition state much faster than it happens in the open loop (classical) system. Apparently a substantial change in system
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Numerical exploration of the quantized Hill problem dynamics Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Aguda Ekele Vincent, Elbaz I. Abouelmagd, Efstathios A. Perdios, Vassilis S. Kalantonis
In this paper, a numerical exploration of the perturbed Hill three-body problem under quantum corrections is performed. In particular, the existence of location for the equilibrium points and their stability are explored in both plane and out-of-plane motion of the primaries. The zero velocity curves are found for various values of the Jacobian constant and the different closed or trapped regions in
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Robust network of globally coupled heterogeneous limit cycle oscillators due to inertia Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-02 Uday Singh, Wei Zou, V.K. Chandrasekar, D.V. Senthilkumar
We investigate the phase transition from macroscopic oscillatory state to stable homogeneous steady state in a heterogeneous network of globally coupled Stuart–Landau limit cycle oscillators in the presence of the inertial effect. The phase transition, known as aging transition, onsets above a critical fraction of inactive constituents in the mixed population of active and inactive units. We show that
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Qualitative analysis, exact solutions and symmetry reduction for a generalized (2+1)-dimensional KP–MEW-Burgers equation Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Muhammad Hamza Rafiq, Nauman Raza, Adil Jhangeer, Ahmed M. Zidan
The objective of this manuscript is to examine the non-linear characteristics of the modified equal width-Burgers equation, known as the generalized Kadomtsive–Petviashvili equation, and its ability to generate a long-wave with dispersion and dissipation in a nonlinear medium. We employ the Lie symmetry approach to reduce the dimension of the equation, resulting in an ordinary differential equation
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Adaptive fuzzy echo state network optimal synchronization control of hybrid–order chaotic systems via reinforcement learning Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Mei Zhong, Chengdai Huang, Jinde Cao, Heng Liu
In this paper, a novel optimal synchronization control scheme for fractional–integer hybrid–order chaotic systems is formulated. To deal with the fractional–order (FO) constraint, a transformation programme is developed and then the master system considered as an FO chaotic system is transformed into an integer–order one. A fuzzy echo state network (FESN) with the advantages of both fuzzy logic system
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Fractal dimension analysis of financial performance of resulting companies after mergers and acquisitions Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Shubham Kumar Verma, Satish Kumar
This study primarily focuses on financial performance after mergers and acquisitions of resulting companies. We have taken the eleven years data of resulting companies of mergers and acquisitions took place in the financial years 2016-17 & 2017-18 from the Bloomberg database. In which, we analyse pre-and post-mergers and acquisitions, considering four years data of pre- and four years post. Further
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Dynamics of vector-borne diseases through the lens of systems incorporating fractional-order derivatives Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Urszula Skwara, Dorota Mozyrska, Maira Aguiar, Nico Stollenwerk
This paper explores the dynamics of vector-borne diseases transmitted by mosquitoes through the lens of systems incorporating fractional-order derivatives. Specifically, we extend the classical SISUV and SIRUV models by introducing fractional-order systems with the Caputo sense derivative. This augmentation introduces memory effects into the modelling process. Our study delves into the local and global
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Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Sümeyye Ermeydan Çi̇ri̇ş, Hüseyin Yildirim
In this paper, we define generalized conformable fractional integrals on co-ordinated functions and generalized conformable fractional integrals for the functions of two variables. Furthermore, we obtain a new Hermite–Hadamard inequality by using the generalized Riemann–Liouville integrals by means of the generalized conformable integral definition. Moreover, we demonstrate some consequences by utilizing
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On an enthalpy formulation for a sharp-interface memory-flux Stefan problem Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Sabrina D. Roscani, Vaughan R. Voller
Stefan melting problems involve the tracking of a sharp melt front during the heat conduction controlled melting of a solid. A feature of this problem is a jump discontinuity in the heat flux across the melt interface. Time fractional versions of this problem introduce fractional time derivatives into the governing equations. Starting from an appropriate thermodynamic balance statement, this paper
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Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Quan Xu, Kai Wang, Mo Chen, Fatemeh Parastesh, Ning Wang
The marvelous Wilson neuron model involves sodium and potassium ion currents, which offer great significance in generating firing activities. This paper firstly deduces that the sodium ion currents can be characterized by a locally active memristor (LAM) and the potassium ion current meets the definition of passive memristor. Thereafter, a memristive Wilson neuron circuit with memristive sodium and
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New Kolmogorov bounds in the CLT for random ratios and applications Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Khalifa Es-Sebaiy, Fares Alazemi
We develop techniques for determining an explicit Berry–Esseen bound in the Kolmogorov distance for the normal approximation of a ratio of Gaussian functionals. We provide an upper bound in terms of the third and fourth cumulants, using some novel techniques and sharp estimates for cumulants. As applications, we study the rate of convergence of the distribution of discretized versions of minimum contrast
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Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Linxue Wang, Hui Liu, Hongli Yang, Silin Chen, Pu Tu, Lin Wen, Xueying Yang, Xiao-Fei Zhang
The dynamical properties of soliton and vortex are closely related to the spontaneous symmetry breaking and the intertwining between internal and external degrees of freedom. We investigate the dynamics of ring dark solitons in a two-component Bose–Einstein condensate with nonlocal Rydberg interaction, where the continuous rotational symmetry is broken. Our results show that the dynamics of such a
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Time-synchronized predefined-time synchronization between two non-identical chaotic systems Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Shilalipi Sahoo, Rahash Nathasarma, Binoy Krishna Roy
A new technique is proposed in this paper to synchronize chaotic systems. A time-synchronized predefined-time sliding mode control is designed such that the error dynamics between the drive and response systems converge to the origin simultaneously and within the predefined time. To realize the proposed notion of stability, a new sliding surface is introduced, and control laws are defined. The stability
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Design of fractional-order hammerstein control auto-regressive model for heat exchanger system identification: Treatise on fuzzy-evolutionary computing Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Ammara Mehmood, Muhammad Asif Zahoor Raja, Brett Ninness
Parameter estimation of nonlinear dynamical Hammerstein processes is a renowned stiff optimization problem with extensive applications in the design, robustness and stability analysis. Introduction of the fractional calculus theories and concepts further escalates the competency of accurate modelling of Hammerstein system but at the cost of increase in the stiffness of parameter estimation and complexity
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Pattern-detection in the global automotive industry: A manufacturer-supplier-product network analysis Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-03-01 Massimiliano Fessina, Andrea Zaccaria, Giulio Cimini, Tiziano Squartini
Production networks arise from customer–supplier relationships between firms. These systems have gained increasing attention as a consequence of the frequent supply chain disruptions caused by the natural and man-made disasters occurred during the last years (e.g. the Covid-19 pandemic and the Russia-Ukraine war). Recent, empirical evidence has shown that production networks are shaped by ‘functional’
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Identification and analysis of a nonlinear mathematical model of the temporomandibular joint disc Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-29 Barbara Imiołczyk, Jerzy Margielewicz, Damian Gąska, Grzegorz Litak, Daniil Yurchenko, Magdalena Rogal, Tomasz Lipski, Edward Kijak
The paper presents a study of issues related to the identification of a non-linear mathematical model describing dynamics of the temporomandibular joint (TMJ) disc. Based on the tests of real disks, a non-linear model was built and verified, and then numerical simulations were carried out, the purpose of which was to analyze the behavior of the model for various excitation conditions. They include
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Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-29 Gaihui Guo, Qijing Qin, Hui Cao, Yunfeng Jia, Danfeng Pang
Vegetation patterns can reflect vegetation’s spatial distribution in space and time. The saturated water absorption effect between the soil–water and vegetation plays a crucial role in the vegetation patterns in semi-arid regions. Moreover, vegetation can absorb water through the nonlocal interaction of roots. In this paper, we consider how cross-diffusion and nonlocal delay interactions affect vegetation
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Lie symmetries and optimal classifications with certain modal approaches for the three-dimensional gas-dynamical equations Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-29 Sougata Mandal, Subhankar Sil, Sukhendu Ghosh
This paper is devoted to analyzing the solution framework of the gas-dynamic equations for a three-dimensional unbounded homentropic sheared flow using the Lie group approach. An extensive symmetry analysis of the system of governing PDEs is performed to decrease the number of independent variables. The classification of inequivalent subalgebras into an optimal set called the optimal set of subalgebras
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The impact of reputation-based heterogeneous evaluation and learning on cooperation in spatial public goods game Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-29 Ran Lv, Jia-Li Qian, Qing-Yi Hao, Chao-Yun Wu, Ning Guo, Xiang Ling
In general, individuals with high reputation are more likely to be noticed. Moreover, the society also has different evaluation tendencies towards the positive or negative behaviors of high-reputation individuals. Motivated by this reality, this paper develops spatial public goods game model from three perspectives, which involve a dynamic reputation threshold based on local reputation and global reputation
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Analytical solutions for the short-term plasticity Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-29 Paulo R. Protachevicz, Antonio M. Batista, Iberê L. Caldas, Murilo S. Baptista
Synaptic dynamics plays a key role in neuronal communication. Due to its high dimensionality, the main fundamental mechanisms triggering different synaptic dynamics and their relation with the neurotransmitter release regimes (facilitation, biphasic, and depression) are still elusive. For a general set of parameters, and employing an approximated solution for a set of differential equations associated
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Evolutionary dynamics in voluntary prisoner’s dilemma game with environmental feedbacks Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Yan Gao, Minlan Li, Yuanyuan Hu, Rui-Wu Wang, Chao Wang
It is well known that individual behavior will be influenced by the environment, and likewise, the environment will also change as the individual behavior changes. Based on the voluntary prisoner’s dilemma game proposed by Szabó et al., we propose a form of environmental feedbacks reflected in individual fitness in spatial structured population. Through theoretical analysis and numerical simulation
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Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Narimene Mahfoudi, Abdesselam Bouguerra, Houria Triki, Faiçal Azzouzi, Anjan Biswas, Yakup Yıldırım, Ali Saleh Alshomrani
This study investigates the dynamics of ultrashort light pulses in an inhomogeneous optical medium exhibiting all orders of nonlinearity up to the ninth order. The research focuses on exploring the existence and properties of self-similar solitons while varying cubic, quintic, septic, and nonic nonlinearities, group velocity dispersion, and loss or gain. It is found that the transmission system supports
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Global asymptotic stability of an age-structured tuberculosis model: An analytical method to determine kernel coefficients in Lyapunov functional Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Yi Chen, Lianwen Wang, Jinhui Zhang
Tuberculosis (TB) is a slowly progressive and chronic long-lasting communicable disease and several significant age-dependent heterogeneous factors are involved in TB transmission. To be specific, the individual susceptibility to TB varies with the ages during their life time, the current BCG vaccine effectiveness wanes since vaccination. And the rate of progression from latent TB infection to active
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Constant Production in an Orchard: An interaction-based approach Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Swati Chauhan, Shiva Dixit, Manish Dev Shrimali, Kenshi Sakai, Awadhesh Prasad
Alternate bearing, the cyclic pattern of heavy and light fruit crops in fruit species, is a complex phenomenon influenced by both internal and external influences in an orchard. The impact of direct interactions practically realized through grafting and indirect interactions, which would be practically realized through pollination between two plants using the resource budget model was introduced in
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A new class of convex functions and applications in entropy and analysis Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Yamin Sayyari, Mehdi Dehghanian
In this article, we introduce the concepts of -harmonic mean and -harmonically convex functions. As an application of -harmonic mean, we present a model in physics. Also, we prove Jensen type, Hermite–Hadamard type and Mercer type inequalities for these functions. Further, using this results, we give new bounds for Shannon entropy and geometrically mean.
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The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Xueli Xin, Meina Sun
Two kinds of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state are explicitly obtained by using the combination between 1-rarefaction or 1-shock wave along with 2-contact discontinuity. The formation of vacuum state and delta shock wave is identified and analyzed when the perturbation parameter in the pressure term drops to zero, where the intrinsic
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A multifractal formalism for new general fractal measures Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-28 Rim Achour, Zhiming Li, Bilel Selmi, Tingting Wang
In this study, we will introduce an innovative and comprehensive multifractal framework, substantiating counterparts to the classical findings in multifractal analysis and We embark on an exploration of the mutual singularity existing between the broader multifractal Hausdorff and packing measures within an expansive framework. An exemplar of this framework involves the application of the ”” multifractal
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Reservoir computing-based advance warning of extreme events Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-27 Tao Wang, Hanxu Zhou, Qing Fang, Yanan Han, Xingxing Guo, Yahui Zhang, Chao Qian, Hongsheng Chen, Stéphane Barland, Shuiying Xiang, Gian Luca Lippi
Physics-based computing exploits nonlinear or disorder-induced complexity, for example, to realize energy-efficient and high-throughput computing tasks. A particularly difficult but useful task is the prediction of extreme events that can occur in a wide range of complex systems. We prepare an experiment based on a microcavity semiconductor laser that produces statistically rare extreme events resulting
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The Julia and Mandelbrot sets for the function zp−qz2+rz+sincw exhibit Mann and Picard–Mann orbits along with s-convexity Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-27 Nabaraj Adhikari, Wutiphol Sintunavarat
This research paper introduces a novel approach to visualize Julia and Mandelbrot sets by employing iterative techniques, which play a crucial role in creating fractals. The primary focus is on complex functions of the form for all , where , , and . The Mann and Picard–Mann iteration schemes with -convexity are utilized throughout the study. Innovative escape criteria are developed to generate Julia
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Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-26 Tanzeela Kanwal, Azhar Hussain, İbrahim Avcı, Sina Etemad, Shahram Rezapour, Delfim F.M. Torres
We employ Mittag-Leffler type kernels to solve a system of fractional differential equations using fractal–fractional (FF) operators with two fractal and fractional orders. Using the notion of FF-derivatives with nonsingular and nonlocal fading memory, a model of three polluted lakes with one source of pollution is investigated. The properties of a non-decreasing and compact mapping are used in order
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Segmented multifractal detrended fluctuation analysis for assessing inefficiency in North African stock markets Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-25 Foued Saâdaoui
This study employs segmented multifractal analysis to evaluate the efficiency of key financial markets in North Africa. The proposed method, an adapted version of Multifractal Detrended Fluctuation Analysis (MF-DFA), integrates a wavelet-based change-point detection to identify and separate the two most dynamically changing phases. Subsequent multifractal measurements are then conducted for each of
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Time-delay feedback control of a suspended cable driven by subharmonic and superharmonic resonance Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-25 Jian Peng, Yanan Li, Luxin Li, Stefano Lenci, Hongxin Sun
The longitudinal time-delay feedback control strategy is implemented to suppress the subharmonic and superharmonic responses of the suspended cable. Formulated based on the Hamilton variational principle and the longitudinal time-delay feedback strategy, the in-plane nonlinear differential equations for a suspended cable are formulated, and Galerkin method is utilized to transform the equations into
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Nonlinear ion acoustic waves in dense magnetoplasmas: Analyzing interaction solutions of the KdV equation using Wronskian formalism for electron trapping with Landau diamagnetism and thermal excitations Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-25 S. Shah, W. Masood, M. Siddiq, H. Rizvi
Nonlinear ion acoustic waves in the presence of electron trapping with Landau quantization and thermal excitations induced smearing effects of the Fermi step function are investigated using the two-fluid theory in the vicinity of white dwarfs. In spite of the fact that the Kortweg de Vries (KdV) equation is derived within the confines of small amplitude approximation used in the reductive perturbation
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HNS: An efficient hermite neural solver for solving time-fractional partial differential equations Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-24 Jie Hou, Zhiying Ma, Shihui Ying, Ying Li
Neural network solvers represent an innovative and promising approach for tackling time-fractional partial differential equations by utilizing deep learning techniques. L1 interpolation approximation serves as the standard method for addressing time-fractional derivatives within neural network solvers. However, we have discovered that neural network solvers based on L1 interpolation approximation are
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The evolutionary prisoner’s dilemma game in continuous signed networks Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-24 Guangyu Li, Haifeng Du, Xiaochen He
Cooperative evolutionary games have been a focus in various subjects, but the discussion on signed networks is lacking, especially when players are assumed to have different degree of closeness with others, i.e. continuous signed network. To fill this gap, we introduce a negativity coefficient that responds to the effect of negative relationships and a new strategy imitation method that applies to
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Stochastic dynamics of coral reef system with stage-structure for crown-of-thorns starfish Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-24 Xin Zhao, Lidan Liu, Meng Liu, Meng Fan
The outbreak of crown-of-thorns starfish (CoTS) is one of the most critical biological disturbances in coral reef systems and contributes greatly to the degradation of coral. Although many studies have focused on coral-CoTS interactions, there is no effective method for suppressing CoTS outbreaks in the long term, in part because of incomplete knowledge of their life cycle. In this paper, a stochastic
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Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-24 Gang Liu, Jing He, Zhiyong Luo, Xiaobai Yao, Qinjin Fan
Route planning is one of the most important and attractive topics in complex networks, geographical information science (GIS) and logistics. Travelers' route choice behaviors may affect the actual throughput of a transportation network. This study aims to analyze the influence of travelers' route choice behaviors on network traffic throughput. Two kinds of route choice behaviors, called continuous
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Partially nonlocal ring-like spatiotemporal superimposed second-order breathers under a harmonic potential Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-24 Liang-Yuan Chen, Hong-Yu Wu, Li-Hong Jiang
By means of reduction expression with solutions of constant-coefficient nonlinear Schrödinger system, analytical partially nonlocal ring-like spatiotemporal superimposed second-order Akhmediev and Ma breather solution is derived from the Darboux approach. In or coordinate, the cylindrical multilayer structure of Akhmediev and Ma breathers is embedded in the center, and rings of Akhmediev breather and
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Quantized adaptive practical fixed-time synchronization of stochastic complex networks with actuator faults Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-23 Meng Hou, Qiushi He, Yuechao Ma
This paper investigates the practical fixed-time synchronization for stochastic complex networks (CNs) under quantized adaptive fault-tolerant control scheme. More accurate upper-bound estimates of stochastic settling time are obtained and novel residual sets are derived via proposed new lemmas for practical fixed-time stability in probability (PFTP). Quantized adaptive control scheme is designed based
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Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-23 Liangwei Zeng, Milivoj R. Belić, Dumitru Mihalache, Xing Zhu
We demonstrate two new types of non-circularly-symmetric solitons, the elliptical and rectangular solitons, which can be sustained by the cubic–quintic nonlinearity in the nonlinear Schrödinger equation with a linear potential well. The characteristics of these solitons are investigated in some detail. Notably, the elliptical and circular solitons can transform into each other, and similarly the rectangular
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Astrocyte control bursting mode of spiking neuron network with memristor-implemented plasticity Chaos Solitons Fractals (IF 5.3) Pub Date : 2024-02-23 Sergey V. Stasenko, Alexey N. Mikhaylov, Alexander A. Fedotov, Vladimir A. Smirnov, Victor B. Kazantsev
A mathematical model of a spiking neuron network accompanied by astrocytes is considered. The network is composed of excitatory and inhibitory neurons with synaptic connections supplied by a memristor-based model of plasticity. Another mechanism for changing the synaptic connections involves astrocytic regulations using the concept of tripartite synapses. In the absence of memristor-based plasticity