4.6 Article

Some novel double-scroll chaotic attractors in Hopfield networks

Journal

NEUROCOMPUTING
Volume 73, Issue 10-12, Pages 2280-2285

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2010.02.015

Keywords

Hopfield network; Chaotic attractor; Power spectrum; Topological horseshoe theory

Funding

  1. Research Fund for the Doctoral Program of Higher Education of China [20090032120034]

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In this paper, a 3-neuron chaotic Hopfield network is presented. Numerical simulations show that the network displays rich dynamics by changing the self-connection weight. The dynamic of the network is studied by using the Lyapunov exponents spectrum, bifurcation diagram, power spectrum and topological horseshoe theory. It is shown that the proposed network exhibits some novel double-scroll chaotic attractors. (C) 2010 Elsevier B.V. All rights reserved.

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