Bifurcation behaviors of an Euler discretized inertial delayed neuron model
He Xing1; Li ChuanDong1; Huang TingWen2; Yu JunZhi3
2016-03-01
发表期刊SCIENCE CHINA-TECHNOLOGICAL SCIENCES
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
DOI10.1007/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:4[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
专题复杂系统管理与控制国家重点实验室_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
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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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