个人简介
郭来刚，北师大数学科学学院讲师，中国数学会计算机数学专业委员会委员。2019年博士毕业于中国科学院大学，2016-2018年曾在加拿大西安大略大学联合培养。2019年和2021年曾分别加入中科院数学与系统科学研究院国家数学与交叉科学中心和香港中文大学网络编码实验室做博士后，合作导师分别为符号计算与信息论领域顶尖学者高小山研究员和Raymond Yeung教授。目前研究领域属于交叉学科，符号计算的交叉应用，具体方向为：符号计算在信息论中的应用，包括：香农不等式、熵幂不等式等问题；符号计算在非线性系统中的应用，包括：稳定性分析、分岔分析等问题。目前研究成果已发表在信息论领域顶刊 IEEE Transactions on Information Theory、信息论领域顶会 IEEE International Symposium on Information Theory、微分方程定性分析领域顶刊 Journal of Differential Equations等。
近期论文
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Proving Information Inequalities and Identities with Symbolic Computation (Extended Version) with Raymond W. Yeung, Xiao-Shan Gao IEEE Transactions on Information Theory, 2023.
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy with Chun-Ming Yuan, Xiao-Shan Gao Entropy, 2022.
Limit cycles in a switching Liénard system with Xiangyu Wang Discrete and Continuous Dynamical Systems-B, 2022.
Proving Information Inequalities and Identities with Symbolic Computation (Short Version) with Raymond W. Yeung, Xiao-Shan Gao 2022 IEEE International Symposium on Information Theory (ISIT), 2022.
Bifurcation Analysis for a Class of Cubic Switching Systems with Xiangyu Wang, Yusen Wu International Journal of Bifurcation and Chaos, 2022.
A Generalization of the Concavity of Rényi Entropy Power with Chun-Ming Yuan, Xiao-Shan Gao Entropy, 2021.
Lower Bound for Derivatives of Costa's Differential Entropy with Chun-Ming Yuan, Xiao-Shan Gao 2021 IEEE International Symposium on Information Theory (ISIT), 2021.
Identifying weak focus and center in a convection model with Pei Yu, Yufu Chen Applied Mathematics Letters, 2020.
Rough center in a 3-dimensional Lotka-Volterra system with Yusen Wu International Journal of Dynamical Systems and Differential Equations, 2020.
Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles with Pei Yu, Yufu Chen Applied Mathematics and Computation, 2019.
Bifurcation analysis on a class of Z2-equivariant cubic switching systems showing eighteen limit cycles with Pei Yu, Yufu Chen Journal of Differential Equations, 2019.
Twelve Limit Cycles in 3D Quadratic Vector Fields with Z3 Symmetry with Pei Yu, Yufu Chen International Journal of Bifurcation and Chaos, 2018.
Hopf Bifurcation of Z2-Equivariant Generalized Liénard Systems with Yusen Wu, Yufu Chen International Journal of Bifurcation and Chaos, 2018.
System stability analysis via a perturbation technique with Yufu Chen Communications in Nonlinear Science and Numerical Simulation, 2017.
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