Bifurcation behaviors of an Euler discretized inertial delayed neuron model

doi:10.1007/s11431-015-5986-x

	Bifurcation behaviors of an Euler discretized inertial delayed neuron model
	He Xing1 ; Li ChuanDong 1; Huang TingWen 2; Yu JunZhi3
发表期刊	SCIENCE CHINA-TECHNOLOGICAL SCIENCES
	2016-03-01
卷号	59 期号:3 页码:418-427
文章类型	Article
摘要	This paper presents an Euler discretized inertial delayed neuron model, and its bifurcation dynamical behaviors are discussed. By using the associated characteristic model, center manifold theorem and the normal form method, it is shown that the model not only undergoes codimension one (flip, Neimark-Sacker) bifurcation, but also undergoes cusp and resonance bifurcation (1:1 and 1:2) of codimension two. Further, it is found that the parity of delay has some effect on bifurcation behaviors. Finally, some numerical simulations are given to support the analytic results and explore complex dynamics, such as periodic orbits near homoclinic orbits, quasiperiodic orbits, and chaotic orbits.
关键词	Resonance Bifurcation Euler Discretized Inertial Delayed Neural Network
WOS标题词	Science & Technology ; Technology
DOI	10.1007/s11431-015-5986-x
关键词[WOS]	BOGDANOV-TAKENS BIFURCATION ; TIME-DELAY ; STABILITY SWITCHES ; HOPF-BIFURCATION ; 2-NEURON SYSTEM ; MULTIPLE DELAYS ; NETWORK ; CHAOS
收录类别	SCI
语种	英语
项目资助者	National Priorities Research Program through Qatar National Research Fund, Qatar Foundation(NPRP 4-1162-1-181) ; Natural Science Foundation of China(61403313 ; Natural Science Foundation Project of Chongqing CSTC(cstc2014jcyjA40014) ; 61374078 ; 61375102)
WOS研究方向	Engineering ; Materials Science
WOS类目	Engineering, Multidisciplinary ; Materials Science, Multidisciplinary
WOS记录号	WOS:000371642800009
引用统计	被引频次：7[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/11365
专题	复杂系统认知与决策实验室_先进机器人
作者单位	1.Southwest Univ, Sch Elect & Informat Engn, Chongqing 400715, Peoples R China 2.Texas A&M Univ Qatar, Doha 5825, Qatar 3.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He Xing,Li ChuanDong,Huang TingWen,et al. Bifurcation behaviors of an Euler discretized inertial delayed neuron model[J]. SCIENCE CHINA-TECHNOLOGICAL SCIENCES,2016,59(3):418-427.
APA	He Xing,Li ChuanDong,Huang TingWen,&Yu JunZhi.(2016).Bifurcation behaviors of an Euler discretized inertial delayed neuron model.SCIENCE CHINA-TECHNOLOGICAL SCIENCES,59(3),418-427.
MLA	He Xing,et al."Bifurcation behaviors of an Euler discretized inertial delayed neuron model".SCIENCE CHINA-TECHNOLOGICAL SCIENCES 59.3(2016):418-427.

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