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- Title
Dynamic analysis of unstable Hopfield networks.
- Authors
Zheng, Pengsheng; Tang, Wansheng; Zhang, Jianxiong
- Abstract
In this paper, the dynamic behaviors of unstable Hopfield neural networks (HNNs) with asymmetric connections are studied. It is found that the solution of the HNN is bounded and the HNN is a dissipative system. In addition, sufficient conditions for the instability of the equilibrium point and the existence of stable limit cycles are proposed. Some numerical simulations are given to illustrate the effectiveness of the proposed results. It is shown that some HNNs exhibit two independent limit cycles or chaotic attractors which are symmetric to each other with respect to the origin.
- Subjects
ARTIFICIAL neural networks; LIMIT cycles; ATTRACTORS (Mathematics); EQUILIBRIUM; VECTOR analysis; MATRICES (Mathematics); COMPUTER simulation
- Publication
Nonlinear Dynamics, 2010, Vol 61, Issue 3, p399
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-010-9657-y