DEFORMATION OF TRAVELING WAVES IN DELAYED CELLULAR NEURAL NETWORKS

DOI10.1142/S0218127403006947zbMath1062.35163OpenAlexW2028789113MaRDI QIDQ4653815

Jianhong Wu, Pei-xuan Weng

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/s0218127403006947

zbMATH Keywords

delaymonotone iterationtraveling wavecellular neural networks with distributed delayed signal transmission

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Partial functional-differential equations (35R10)

Related Items (14)

Wave propagation in RTD-based cellular neural networks ⋮ Dynamic Analysis of a Reaction–Diffusion Rumor Propagation Model ⋮ 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 ⋮ Spatial dynamics of multilayer cellular neural networks ⋮ Traveling waves for delayed cellular neural networks with nonmonotonic output functions ⋮ Existence and stability of traveling wave solutions for multilayer 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 ⋮ Existence of traveling wave solutions in nonlinear delayed cellular neural networks ⋮ Stability of traveling wave solutions for nonlinear cellular neural networks with distributed delays ⋮ TRAVELING WAVE SOLUTIONS FOR DISCRETE-TIME MODEL OF DELAYED CELLULAR NEURAL NETWORKS

Cites Work

• 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
• Existence and multiplicity of traveling waves in a lattice dynamical system
• Cellular neural networks: theory
• Stability and dynamics of delay-type general and cellular neural networks
• Stability of cellular neural networks with dominant nonlinear and delay-type templates
• TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
• Traveling wave fronts of reaction-diffusion systems with delay

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