CHAOS IN SIMPLE CELLULAR NEURAL NETWORKS WITH CONNECTION MATRICES SATISFYING DALE'S RULE

DOI10.1142/S0218127407017446zbMath1139.37022MaRDI QIDQ3499147

Xiao-Song Yang, Qingdu Li

Publication date: 28 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentstopological horseshoe

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Cell biology (92C37) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

A Note on Phase Coherence of Chaotic Sets ⋮ Horseshoe chaos in a 3D neural network with different activation functions ⋮ Fold-Pitchfork Bifurcation, Arnold Tongues and Multiple Chaotic Attractors in a Minimal Network of Three Sigmoidal Neurons

Cites Work

• Horseshoes in piecewise continuous maps
• Chaos in a three dimensional neural network
• CHAOS AND HYPERCHAOS IN A CLASS OF SIMPLE CELLULAR NEURAL NETWORKS MODELED BY O.D.E.
• Cellular neural networks: theory
• Bifurcation and chaos in cellular neural networks
• CHAOS IN A THREE-DIMENSIONAL GENERAL MODEL OF NEURAL NETWORK
• HORSESHOE CHAOS IN CELLULAR NEURAL NETWORKS
• A NEW CLASS OF CHAOTIC SIMPLE THREE-NEURON CELLULAR NEURAL NETWORKS

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