Existence of traveling wave solutions in nonlinear delayed cellular neural networks

DOI10.1016/J.NONRWA.2007.09.010zbMath1154.34364OpenAlexW2095518980MaRDI QIDQ1003276

Xiuxiang Liu, Zhi Ting Xu, Pei-xuan Weng

Publication date: 27 February 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.09.010

zbMATH Keywords

cellular neural networksmonotone iterationtraveling wave solutionslattice dynamical system

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) General theory of functional-differential equations (34K05) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (10)

Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term ⋮ 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 ⋮ Stability and travelling waves for a time-delayed population system with stage structure ⋮ Spatial dynamics of multilayer cellular neural networks ⋮ Traveling waves for delayed cellular neural networks with nonmonotonic output functions ⋮ Traveling waves for nonlinear cellular neural networks with distributed delays ⋮ 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

• Unnamed Item
• Traveling waves in lattice dynamical systems
• On camel-like traveling wave solutions in cellular neural networks.
• Existence and multiplicity of traveling waves in a lattice dynamical system
• Cellular neural networks: theory
• Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
• TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
• DEFORMATION OF TRAVELING WAVES IN DELAYED CELLULAR NEURAL NETWORKS

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