文献类型：期刊文献

中文题名：Hopf bifurcation and chaos in an inertial neuron system with coupled delay

英文题名：Hopf bifurcation and chaos in an inertial neuron system with coupled delay

作者：Ge JuHong[1,2];Xu Jian[2]

第一作者：Ge JuHong

通讯作者：Xu, J[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Peoples R China;[2]Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China.

年份：2013

卷号：0

期号：9

起止页码：2299-2309

中文期刊名：中国科学：技术科学英文版

外文期刊名：SCIENCE CHINA-TECHNOLOGICAL SCIENCES

收录：;EI(收录号：20133616708304);Scopus(收录号：2-s2.0-84883270046);WOS:【SCI-EXPANDED(收录号:WOS:000323522500025)】；

基金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 11202068 and 11032009).

语种：英文

中文关键词：神经元系统;霍普夫分岔;混沌行为;时间延迟;惯性;耦合;Hopf分支;特征方程

外文关键词：time delay; inertia; Hopf bifurcation; chaos

摘要：In this paper, inertia is added to a simplified neuron system with time delay. The stability of the trivial equilibrium of the network is analyzed and the condition for the existence of Hopf bifurcation is obtained by discussing the associated characteristic equation. Hopf bifurcation is investigated by using the perturbation scheme without the norm form theory and the center manifold theorem. Numerical simulations are performed to validate the theoretical results and chaotic behaviors are observed. Phase plots, time history plots, power spectra, and Poincaré section are presented to confirm the chaoticity. To the best of our knowledge, the chaotic behavior in this paper is new to the previously published works.
In this paper, inertia is added to a simplified neuron system with time delay. The stability of the trivial equilibrium of the network is analyzed and the condition for the existence of Hopf bifurcation is obtained by discussing the associated characteristic equation. Hopf bifurcation is investigated by using the perturbation scheme without the norm form theory and the center manifold theorem. Numerical simulations are performed to validate the theoretical results and chaotic behaviors are observed. Phase plots, time history plots, power spectra, and Poincar, section are presented to confirm the chaoticity. To the best of our knowledge, the chaotic behavior in this paper is new to the previously published works.