On camel-like traveling wave solutions in cellular neural networks.

DOI10.1016/S0022-0396(03)00135-9zbMath1057.34068OpenAlexW1993296155MaRDI QIDQ1428264

Suh-Yuh Yang, Cheng-Hsiung Hsu

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00135-9

zbMATH Keywords

boundary value problemlattice dynamical systemcamel-like traveling wavesoutput functiondelay functional-differential equationmonotonic traveling wave solutionoscillating traveling waves

Mathematics Subject Classification ID

Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Boundary value problems for functional-differential equations (34K10) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (14)

Wave propagation in RTD-based cellular neural networks ⋮ DIVERSITY OF TRAVELING WAVE SOLUTIONS IN DELAYED CELLULAR NEURAL NETWORKS ⋮ Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays ⋮ Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network ⋮ SNAP-BACK REPELLERS AND CHAOTIC TRAVELING WAVES IN ONE-DIMENSIONAL CELLULAR NEURAL NETWORKS ⋮ 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 ⋮ Stability for monostable wave fronts of delayed lattice differential equations ⋮ Traveling waves for nonlinear cellular neural networks with distributed delays ⋮ Existence of traveling wave solutions in nonlinear delayed cellular neural networks ⋮ EXISTENCE OF MONOTONIC TRAVELING WAVES IN LATTICE DYNAMICAL SYSTEMS ⋮ TRAVELING WAVE SOLUTIONS FOR DISCRETE-TIME MODEL OF DELAYED CELLULAR NEURAL NETWORKS ⋮ Spreading speeds of cellular neural networks model with time delay

Cites Work

• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Traveling waves in lattice dynamical systems
• The global structure of traveling waves in spatially discrete dynamical systems
• Propagating waves in discrete bistable reaction-diffusion 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
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Cellular neural networks: theory
• TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
• Cellular Neural Networks: Mosaic Pattern and Spatial Chaos
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