DYNAMICS FOR DISCRETE-TIME CELLULAR NEURAL NETWORKS

DOI10.1142/S0218127404011053zbMath1129.37310OpenAlexW2017508413MaRDI QIDQ4655684

Shyan-Shiou Chen, Chih-Wen Shih

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127404011053

zbMATH Keywords

snap-back repellerchaospattern formationCellular neural networkhomoclinic orbitscomplete stability

Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10) Cellular automata (computational aspects) (68Q80) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generalized hypergeometric series, ({}_pF_q) (33C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Approximation methods and numerical treatment of dynamical systems (37M99) Smooth dynamical systems: general theory (37C99)

Related Items (6)

Existence of periodic solutions and closed invariant curves in a class of discrete-time cellular neural networks ⋮ Global consensus for discrete-time competitive systems ⋮ CHAOS FOR DISCRETE-TIME RTD-BASED CELLULAR NEURAL NETWORKS ⋮ GLOBAL EXPONENTIAL STABILITY CONDITIONS FOR DELAYED PARABOLIC NEURAL NETWORKS WITH VARIABLE COEFFICIENTS ⋮ HORSESHOE IN RTD-BASED CELLULAR NEURAL NETWORKS ⋮ Analysis of Complete Stability for Discrete-Time Cellular Neural Networks with Piecewise Linear Output Functions

Cites Work

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• Transversal homoclinic orbits in a transiently chaotic neural network

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