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Volumn 177, Issue 1, 2005, Pages 89-100

Stability and bifurcation analysis on a discrete-time neural network

Author keywords

Neimark Sacker bifurcation; Neural network; Stability

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; THEOREM PROVING; TRANSFER FUNCTIONS;

EID: 12544255684     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.09.010     Document Type: Article
Times cited : (50)

References (18)
  • 1
    • 0000153927 scopus 로고
    • Models of vertically transmitted diseases with sequential-continuous dynamics
    • V. Lakshmikanthan (Ed.) Academic Press New York
    • S. Busenberg K.L. Cooke Models of vertically transmitted diseases with sequential-continuous dynamics in V. Lakshmikanthan (Ed.) Nonlinear Phenomena in Mathematical Science 1982 Academic Press New York
    • (1982) Nonlinear Phenomena in Mathematical Science
    • Busenberg, S.1    Cooke, K.L.2
  • 2
    • 0035915901 scopus 로고    scopus 로고
    • The asymptotic shapes of periodic solutions of a singular delay differential system
    • Y. Chen J. Wu The asymptotic shapes of periodic solutions of a singular delay differential system J. Differential Equations 169 2001 614-632
    • (2001) J. Differential Equations , vol.169 , pp. 614-632
    • Chen, Y.1    Wu, J.2
  • 3
    • 0008402812 scopus 로고
    • Retarded differential equations with piecewise constant delays
    • K.L. Cooke J. Wiener Retarded differential equations with piecewise constant delays J. Math. Anal. Appl. 99 1984 265-297
    • (1984) J. Math. Anal. Appl. , vol.99 , pp. 265-297
    • Cooke, K.L.1    Wiener, J.2
  • 5
    • 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. Differential Equations 168 2000 129-149
    • (2000) J. Differential Equations , vol.168 , pp. 129-149
    • Faria, T.1
  • 6
    • 22244473030 scopus 로고    scopus 로고
    • Delay induced periodicity in a neural network of excitation and inhibition
    • K. Gopalsamy I. Leung Delay induced periodicity in a neural network of excitation and inhibition Physica D 89 1996 395-426
    • (1996) Physica D , vol.89 , pp. 395-426
    • Gopalsamy, K.1    Leung, I.2
  • 7
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like two-state neurons
    • J.J. Hopfield Neurons with graded response have collective computational properties like two-state neurons Proc. Natl. Acad. Sci. USA 81 1984 3088-3092
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 10
    • 0001082564 scopus 로고    scopus 로고
    • Bifurcations, stability, and monotonicity properties of a delayed neural network model
    • L. Olien J. Bélair Bifurcations, stability, and monotonicity properties of a delayed neural network model Physica D 102 1997 349-363
    • (1997) Physica D , vol.102 , pp. 349-363
    • Olien, L.1    Bélair, J.2
  • 11
    • 33746961598 scopus 로고    scopus 로고
    • Periodic solutions of planar systems with two delays
    • S. Ruan J. Wei Periodic solutions of planar systems with two delays Pro. Roy. Soc. Edinburgh Sect. A 129 1999 1017-1032
    • (1999) Pro. Roy. Soc. Edinburgh Sect. A , vol.129 , pp. 1017-1032
    • Ruan, S.1    Wei, J.2
  • 12
    • 84872778115 scopus 로고
    • Advanced differential equations with piecewise constant argument deviations
    • S.M. Shah J. Wiener Advanced differential equations with piecewise constant argument deviations Internat. J. Math. Math. Sci. 6 1983 671-703
    • (1983) Internat. J. Math. Math. Sci. , vol.6 , pp. 671-703
    • Shah, S.M.1    Wiener, J.2
  • 13
    • 0342936163 scopus 로고    scopus 로고
    • Stability, bifurcation and multistability in a system of two coupled neurons with multiple time delays
    • L. Sharyer S.A. Campbell Stability, bifurcation and multistability in a system of two coupled neurons with multiple time delays SIAM J. Appl. Math. 61 2000 673-700
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 673-700
    • Sharyer, L.1    Campbell, S.A.2
  • 14
    • 0032852882 scopus 로고    scopus 로고
    • Synchronization and desynchronization of neural oscillators
    • A. Tonnelier S. Meignen H. Bosch J. Demongeot Synchronization and desynchronization of neural oscillators Neural Networks 12 1999 1213-1228
    • (1999) Neural Networks , vol.12 , pp. 1213-1228
    • Tonnelier, A.1    Meignen, S.2    Bosch, H.3    Demongeot, J.4
  • 15
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network with two delays
    • J. Wei S. Ruan Stability and bifurcation in a neural network with two delays Physica D 130 1999 255-272
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.1    Ruan, S.2
  • 16
    • 0345328089 scopus 로고    scopus 로고
    • Convergence and periodicity in a discrete-time network of two neurons with self-connection
    • Z.H. Yuan L.H. Huang Convergence and periodicity in a discrete-time network of two neurons with self-connection Comput. Math. Appl. 46 2003 1337-1345
    • (2003) Comput. Math. Appl. , vol.46 , pp. 1337-1345
    • Yuan, Z.H.1    Huang, L.H.2
  • 17
    • 0345303014 scopus 로고    scopus 로고
    • Convergence and periodicity of solutions for a discrete-time network model of two neurons
    • Z.H. Yuan L.H. Huang Y.M. Chen Convergence and periodicity of solutions for a discrete-time network model of two neurons Math. Comput. Model. 35 2002 941-950
    • (2002) Math. Comput. Model. , vol.35 , pp. 941-950
    • Yuan, Z.H.1    Huang, L.H.2    Chen, Y.M.3
  • 18
    • 0037732801 scopus 로고    scopus 로고
    • Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback
    • Z. Zhou J. Wu Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback Comput. Math. Appl. 45 2003 935-942
    • (2003) Comput. Math. Appl. , vol.45 , pp. 935-942
    • Zhou, Z.1    Wu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.