TRAVELING WAVES IN CELLULAR NEURAL NETWORKS

DOI10.1142/S0218127499000912zbMath0964.34033OpenAlexW2046114643MaRDI QIDQ4522228

Cheng-Hsiung Hsu, Wenxian Shen, Song-Sun Lin

Publication date: 19 December 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127499000912

zbMATH Keywords

cellular neural networkstraveling wave solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (25)

SMALE HORSESHOE OF CELLULAR NEURAL NETWORKS ⋮ Existence of traveling wave fronts of delayed lattice differential equations ⋮ Complex behavior of polynomial FitzHugh-Nagumo cellular neural network model ⋮ Wave propagation in RTD-based cellular neural networks ⋮ DIVERSITY OF TRAVELING WAVE SOLUTIONS IN DELAYED CELLULAR NEURAL NETWORKS ⋮ Propagation phenomena for CNNs with asymmetric templates and distributed delays ⋮ Uniqueness and stability of traveling waves for cellular neural networks with multiple delays ⋮ Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays ⋮ SNAP-BACK REPELLERS AND CHAOTIC TRAVELING WAVES IN ONE-DIMENSIONAL CELLULAR NEURAL NETWORKS ⋮ On camel-like traveling wave solutions in cellular neural networks. ⋮ Traveling waves for delayed cellular neural networks with nonmonotonic output functions ⋮ Monotone traveling waves of a population model with non-monotone terms ⋮ Existence and stability of traveling wave solutions for multilayer cellular neural networks ⋮ Stability for monostable wave fronts of delayed lattice differential equations ⋮ DEFORMATION OF TRAVELING WAVES IN DELAYED CELLULAR NEURAL NETWORKS ⋮ Traveling waves for nonlinear cellular neural networks with distributed delays ⋮ Stability analysis of recurrent neural networks with piecewise constant argument of generalized type ⋮ Spatial disorder of cellular neural networks ⋮ Existence of traveling wave solutions in nonlinear delayed cellular neural networks ⋮ Stability of traveling wave solutions for nonlinear cellular neural networks with distributed delays ⋮ SPATIAL DISORDER OF CNN — WITH ASYMMETRIC OUTPUT FUNCTION ⋮ EXISTENCE OF MONOTONIC TRAVELING WAVES IN LATTICE DYNAMICAL SYSTEMS ⋮ SPATIAL DISORDER OF CELLULAR NEURAL NETWORKS — WITH BIASED TERM ⋮ Existence and multiplicity of traveling waves in a lattice dynamical system ⋮ TRAVELING WAVE SOLUTIONS FOR DISCRETE-TIME MODEL OF DELAYED CELLULAR NEURAL NETWORKS

Cites Work

• Some threshold results for models of myelinated nerves
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Traveling waves in lattice dynamical systems
• The Fredholm alternative for functional-differential equations of mixed type
• The global structure of traveling waves in spatially discrete dynamical systems
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Spatially discrete nonlinear diffusion equations
• Wavefronts for a cooperative tridiagonal system of differential equations
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Cellular neural networks: theory
• Stability of Traveling Wavefronts for the Discrete Nagumo Equation
• Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
• The CNN paradigm
• CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
• Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices
• Pattern Formation and Spatial Chaos for Cellular Neural Networks with Asymmetric Templates

This page was built for publication: TRAVELING WAVES IN CELLULAR NEURAL NETWORKS