Journal
NEUROCOMPUTING
Volume 117, Issue -, Pages 33-39Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2012.11.022
Keywords
Hopfield neural networks; New chaos; Horseshoe; Parameter switching; Synthesis of chaos
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Funding
- National Natural Science Foundation of China [61073025, 61073026, 61170031, 61170024, 61272069]
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In this paper, we present a new chaotic attractor in Hopfield neural network. Numerical experiments show that the presented Hopfield neural network can display complex dynamics by changing the self-connection weight. Surprisingly, coexistence of a chaotic attractor and a limit cycle is found in this system, which means, the system can exhibit a chaotic attractor or a limit cycle according to different initial values, and this phenomenon is never reported before. We give a rigorous verification of existence of horseshoe chaos by virtue of topological horseshoes theory and estimates of topological entropy in the derived Poincare maps. Finally, synthesis of the chaotic attractor is studied via parameter switching and a numerical example illustrates the effectiveness of this method. (C) 2013 Elsevier B.V. All rights reserved.
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