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Volumn 25, Issue 1, 2005, Pages 129-146

Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 13544249602     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.09.099     Document Type: Article
Times cited : (25)

References (13)
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    • Y. Chen, and J. Wu slowly oscillating periodic solutions for a delayed frustrated network of two neurons J. Math. Anal. Appl. 259 2001 188 208
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    • Chen, Y.1    Wu, J.2
  • 3
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • J. Wei, and S. Ruan Stability and bifurcation in a neural network model with two delays Physica D 130 1999 255 272
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.1    Ruan, S.2
  • 4
    • 0034693565 scopus 로고    scopus 로고
    • On a planar system modelling a neuron network with memory
    • T. Faria On a planar system modelling a neuron network with memory J. Differ. Equat. 168 2000 129 149
    • (2000) J. Differ. Equat. , vol.168 , pp. 129-149
    • Faria, T.1
  • 5
    • 1242266495 scopus 로고    scopus 로고
    • Oscillatory phenomena and stability of periodic solutions in a simple neural net work with delay
    • J. Wei, M. Velarde, V. Makarov, and F. Panetsos Oscillatory phenomena and stability of periodic solutions in a simple neural net work with delay Nonlinear Phenom. Complex Syst. 5 4 2002 407 417
    • (2002) Nonlinear Phenom. Complex Syst. , vol.5 , Issue.4 , pp. 407-417
    • Wei, J.1    Velarde, M.2    Makarov, V.3    Panetsos, F.4
  • 6
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • J. Wu Symmetric functional differential equations and neural networks with memory Trans. Am. Math. Soc. 350 1998 4799 4838
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 7
    • 0039182052 scopus 로고    scopus 로고
    • The use of boundary locus plots in the identification of bifurcation point in numerical approximation of delay differential equations
    • Neville J. Ford, and Volker Wulf The use of boundary locus plots in the identification of bifurcation point in numerical approximation of delay differential equations JCAM 111 1999 153 162
    • (1999) JCAM , vol.111 , pp. 153-162
    • Ford Neville, J.1    Volker, W.2
  • 8
    • 0038949330 scopus 로고    scopus 로고
    • Numerical Hopf bifurcation for the delay logistic equation
    • Manchester Center for Computational Mathematics
    • Ford NJ, Wulf V. Numerical Hopf bifurcation for the delay logistic equation. Technical Report 323, Manchester Center for Computational Mathematics; 1998
    • (1998) Technical Report , vol.323
    • Ford, N.J.1    Wulf, V.2
  • 9
    • 0006811833 scopus 로고    scopus 로고
    • Naimark-Sacker bifurcations in the Euler method for a delay differential equations
    • T. Koto Naimark-Sacker bifurcations in the Euler method for a delay differential equations BIT 39 1999 110 115
    • (1999) BIT , vol.39 , pp. 110-115
    • Koto, T.1
  • 10
    • 0037860065 scopus 로고    scopus 로고
    • Numerical Hopf bifurcation for a class of delay differential equations
    • NJ. Ford, and V Wulf Numerical Hopf bifurcation for a class of delay differential equations JCAM 115 2000 601 616
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  • 11
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    • Hopf bifurcation in numerical approximation of a class delay differential equations
    • Chunrui Zhang, Mingzhu Liu, and Baodong Zheng Hopf bifurcation in numerical approximation of a class delay differential equations Appl Math Computat 146 31 2003 335 349
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.