Horseshoe and topological entropy estimate of a class of three-dimensional cellular neural networks

DOI10.1016/J.AMC.2007.07.077zbMath1134.37012OpenAlexW2068214394MaRDI QIDQ2479202

Zhensong Liao, Yan Huang

Publication date: 26 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.07.077

zbMATH Keywords

chaoslimit cyclesPoincaré maptopological horseshoe

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Symbolic dynamics (37B10)

Related Items (3)

A chaotic system with an infinite number of equilibrium points: dynamics, horseshoe, and synchronization ⋮ Fold-Pitchfork Bifurcation, Arnold Tongues and Multiple Chaotic Attractors in a Minimal Network of Three Sigmoidal Neurons ⋮ Horseshoe in a modified Van der Pol-Duffing circuit

Cites Work

• Unnamed Item
• Unnamed Item
• Horseshoes in piecewise continuous maps
• Horseshoe in a two-scroll control system
• Metric horseshoes
• A comparative study of computation of Lyapunov spectra with different algorithms
• A planar topological horseshoe theory with applications to computer verifications of chaos
• CHAOS AND HYPERCHAOS IN A CLASS OF SIMPLE CELLULAR NEURAL NETWORKS MODELED BY O.D.E.
• CHAOS AND TWO-TORI IN A NEW FAMILY OF 4-CNNS
• Cellular neural networks: theory
• The CNN paradigm
• Bifurcation and chaos in cellular neural networks
• EXISTENCE OF HORSESHOE IN A FOODWEB MODEL
• HORSESHOE CHAOS IN CELLULAR NEURAL NETWORKS
• A NEW CLASS OF CHAOTIC SIMPLE THREE-NEURON CELLULAR NEURAL NETWORKS

This page was built for publication: Horseshoe and topological entropy estimate of a class of three-dimensional cellular neural networks