Bifurcation of periodic solution in a three-unit neural network with delay

Acta Mathematicae Applicatae Sinica

Volumn 17, Issue 3, 2001, Pages 375-381

  Lin, Yiping ^a   Lemmert, Roland ^b   Volkmann, Peter ^b  

^a KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Bifurcation direction; Hopf bifurcation; Three unit network system

Indexed keywords

EID: 33750334793     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/bf02677382     Document Type: Article

References (8)

1. J. Bélair, S. Dufour. Stability in a Three-dimensional System of Delay-differential Equations. Canad. Appl. Math. Quart., 1996, 4: 135-155
2. J. Bélair, S.A. Campbell, P.V.D. Driessche. Frustration, Stability, and Delay-induced Oscillations in a Neural Network Model. SIAM J. Appl. Math., 1996, 56: 245-255
3. B.D. Hassard, N.D. Kazarinoff, Y.H. Wan. Theory and Applications of Hopf Bifurcation. Cambridge University Press, London, 1981
4. Lin Yiping, Li Jibin. Local Stability and Bifurcation in a System of Delayed Neural Network. J. Kunming University of Science and Technology, 1997, 22(6): 44-47
5. N. Chafee. A Bifurcation Problem for a Functional Differential Equation of Finitely Retarded Type. J. Math. Anal. Appl., 1971, 35: 312-348
6. J.K. Hale, S. Verduyn Lunel. Introduction to Functional Differential Equations. Springer-Verlag, New York, 1993
7. J.J. Hopfield. Neurons with Graded Response have Collective Computational Properties Like Two-state Neurons. Proc. Natl. Acad. Sci., 1984, 81: 3088-3092
8. C.M. Marcus, R.M. Westervelt. Stability of Analog Networks with Delay. Phy. Rev. (Series A), 1989, 39: 347-359