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Bifurcation behaviors of an Euler discretized inertial delayed neuron model

文献类型：期刊论文

作者He Xing1; Li ChuanDong1; Huang TingWen2; Yu JunZhi3
刊名SCIENCE CHINA-TECHNOLOGICAL SCIENCES
出版日期2016-03-01
卷号59期号:3页码:418-427
关键词resonance bifurcation Euler discretized inertial delayed neural network
英文摘要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.
WOS标题词Science & Technology ; Technology
类目[WOS]Engineering, Multidisciplinary ; Materials Science, Multidisciplinary
研究领域[WOS]Engineering ; Materials Science
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
WOS记录号WOS:000371642800009
源URL[http://ir.ia.ac.cn/handle/173211/11365]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队
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.

入库方式： OAI收割

来源：自动化研究所

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