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Bifurcation behaviors of an Euler discretized inertial delayed neuron model
He Xing1; Li ChuanDong1; Huang TingWen2; Yu JunZhi3
Source PublicationSCIENCE CHINA-TECHNOLOGICAL SCIENCES
2016-03-01
Volume59Issue:3Pages:418-427
SubtypeArticle
AbstractThis 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.
KeywordResonance Bifurcation Euler Discretized Inertial Delayed Neural Network
WOS HeadingsScience & Technology ; Technology
DOI10.1007/s11431-015-5986-x
WOS KeywordBOGDANOV-TAKENS BIFURCATION ; TIME-DELAY ; STABILITY SWITCHES ; HOPF-BIFURCATION ; 2-NEURON SYSTEM ; MULTIPLE DELAYS ; NETWORK ; CHAOS
Indexed BySCI
Language英语
Funding OrganizationNational 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 Research AreaEngineering ; Materials Science
WOS SubjectEngineering, Multidisciplinary ; Materials Science, Multidisciplinary
WOS IDWOS:000371642800009
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/11365
Collection复杂系统管理与控制国家重点实验室_先进机器人
Affiliation1.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
Recommended Citation
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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