刘兴波 - 华东师范大学 - 数学科学学院

个人简介

1992.9-1996.7 就读于烟台师范学院（学士）,数学教育专业 1996.9-1999.7 就读于山东矿业学院(硕士)，运筹学与控制论专业 1999.9-2002.7 就读于华东师范大学(博士)，应用数学专业 2002.7--2005.12 华东师范大学讲师 2006.1--2015.12 华东师大数学系副教授 2016.1--至今华东师大数学系教授

研究领域

微分方程定性理论、分支与混沌以及在生物数学等方面的应用

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

刘兴波、韩茂安. 一类两点异宿环的扰动分支,数学年刊,2000,21(6),667-674. 金银来、李先义、刘兴波. 非扭曲退化同宿分支,数学年刊, 2001, 22（4）,473-478. Liu X. B., Zhu D.M., Some topological properties of endomorphisms of the unit circle. Ann. of. Diff .Eqs. 2003, 19(3),368-370 . Han. M .A, Hu .S. C., Liu .X. B., On stability of double homoclinic and heteroclinic cycles, Nonlinear analysis, 2003, 53,701-703. 刘兴波, 朱德明. 同宿流形中的奇异轨道, 高校应用数学学报, 2003, 18 (2), 刘兴波, 朱德明. 奇摄动下的共振不变环面分支, 数学年刊, 2004 (5),637-644. 刘兴波. 非线性方程极限环的存在唯一性. 华东师范大学学报, 2004 (3),1-5. 刘兴波, 朱德明. 伴随超临界分支的非通有同宿轨道分支, 高校应用数学学报,,2004, 19 (4),401-408 . 刘兴波, 朱德明. 伴随超临界分支的通有同宿轨道分支. 数学学报, 2004 (5),957-964. 刘兴波、朱德明. 快变振荡下的同宿轨道分支,数学物理学报,2005（6）。 Fu X .L., Liu X.B, Existence of solutions for neutral non-autonomous evolution equations with nonlocal conditions, Indian J.pure appl.Math,2006,37(3),179-192. Fu X .L., Liu X.B, Existence of Periodic Solutions for Abstract Neutral Non-autonomous Equations with Infinite Delay. J.Math.Anal.Appl, 325,2007,249-267。 Liu X.B., Fu X.L., Zhu D.M., Bifurcation of homoclinic orbits with saddle-center equilibrium., Chin. Ann. Math. Ser. B, 28 (2007), no. 1,81--92. Liu X .B., Fu X.L., Zhu D.M.,homoclinic bifurcation with nonhyperbolic equilibria, Nonlinear analysis,Theory, Methods & Applications, 66, Issue 12, 2653-2982, 2007. Liu X.B.,Zhu D.M, Bifurcation of degenerate homoclinic orbits to saddle-center in reversible systems, Chin. Ann. Math. Ser B, 29(6), 2008, 575-584. Liu Xingbo, Exponential trichotomy and homoclinic bifurcation with saddle-center equilibrium, Appl.Math.Lett, 23, 409-416, 2010. 乔志琴，刘兴波，朱德明，具有三重零奇异的时滞微分方程的分支，数学年刊A,31(1), 59-70, 2010. Liu Xingbo, Homoclinic Flip Bifurcations Accompanied by Transcritical Bifurcation, Chinese Annals of Mathematics, Series B, 32(6), 905-916, 2011. Xu， Yancong; Zhu, Deming; Liu, Xingbo，Bifurcations of Multiple Homoclinics in General Dynamical Systems, Discrete and Continuous Dynamical Systems A, 30(3), 945-963, 2011. Liu, Xingbo; Wang, Zhenzhen; Zhu, Deming, Bifurcation of rough heteroclinic loop with orbit flips,Inter. J. Bifurcation and Chaos, 22 (11), 1250278-1 - 1250278-17, 2012. Liu, Xingbo; Shi, Lina; Zhang, Dongmei, Homoclinic flip bifurcation with a nonhyperbolic equilibrium, Nonlinear Dynamics, 69，655-665，2012. Liu, Xingbo; Zhu, Deming, On the stability of homoclinic loop with higher dimension, Discrete and Continuous Dynamical Systems B, 17(3), 915-932, 2012. Liu, Xingbo; Yang, Lijuan, Stability analysis of an SEIQV epidemic model with saturated incidence rate, Nonlinear Analysis: Real World Applications, 13 (2012), 2671–2679. 刘兴波,具有轨道翻转和倾斜翻转的退化异维环分支 ,中国科学，数学，11 （2013）, 1113-1129. Liu Xingbo, Liu Junying and Zhu Deming,Degenerate bifurcations of heterodimensional cycles with orbit flip ,International Journal of Bifurcation and Chaos, 5 (2013). Liu Xingbo, Bifurcations near the weak type heterodimensional cycle , International Journal of Bifurcation and Chaos , 9 (2014) 1450112. Liu Xingbo, Xu,Yancong, Wang, Sisi, Heterodimensional cycle bifurcation with two orbit flips, Nonlinear Dynamics, 79 (2015), 2787-2804. Liu Xingbo, Generic unfolding of a degenerate heterodimensional cycle, Nonlinear Dynamics, 89：2(2017), 833–850. Liu Xingbo, Lin Xiaobiao, Bai Yuzhen, Zhu Deming, Loop Numbers for the Stability of Homoclinic Loops of Planar Vector Fields. International Journal of Bifurcation and Chaos, 28:8 (2018) 1850101 (12 pages) Liu Xingbo, Dynamics near the heterodimensional cycles with nonhyperbolic equilibrium. International Journal of Bifurcation and Chaos, 28：1(2018),1850003(14 pages). Fengjie Geng, Ting Wang，Xingbo Liu*，Global bifurcations near a degenerate heterodimensional cycle. Journal of Applied Analysis and Computation, 8：1(2018), 123-151. Yancong Xu, Xingbo Liu*, Analysis of a Shil'nikov type homoclinic bifurcation. Acta Mathematica Sinica, English Series, 34: 5(2018), 901–910 Liu Xingbo*, Wang Xiaofei, Wang Ting, Nongeneric Bifurcations Near a Nontransversal Heterodimensional Cycle. Chinese Annals of Mathematics, Series B, 39：1(2018),111-128. Fengjie Geng, Xiao-Biao Lin, Xingbo Liu#, Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits. Journal of Dynamics and Differential Equations (published online) (2019)，3