Wave propagation in RTD-based cellular neural networks

DOI10.1016/j.jde.2004.02.008zbMath1107.34025OpenAlexW2025764738MaRDI QIDQ1888320

Cheng-Hsiung Hsu, Suh-Yuh Yang

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.02.008

zbMATH Keywords

Traveling wavesStanding wavesDiscrete Fisher equationDiscrete Nagumo equationLattice dynamical systemsMonotone iteration methodsRTD-based cellular neural networks

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (4)

DIVERSITY OF TRAVELING WAVE SOLUTIONS IN DELAYED CELLULAR NEURAL NETWORKS ⋮ Floquet multipliers of a metastable rotating wave in a Chua-Yang ring network ⋮ Bifurcation analysis of an oscillatory CNN model with two cells ⋮ EXISTENCE OF MONOTONIC TRAVELING WAVES IN LATTICE DYNAMICAL SYSTEMS

Cites Work

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• Traveling wavefronts for the discrete Fisher's equation
• 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
• Propagating waves in discrete bistable reaction-diffusion systems
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• On camel-like traveling wave solutions in cellular neural networks.
• Existence and multiplicity of traveling waves in a lattice dynamical system
• Propagation failure of traveling waves in a discrete bistable medium
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• TRAVELING WAVES IN CELLULAR NEURAL NETWORKS
• DEFORMATION OF TRAVELING WAVES IN DELAYED CELLULAR NEURAL NETWORKS
• Cellular Neural Networks: Mosaic Pattern and Spatial Chaos
• RTD-BASED CELLULAR NEURAL NETWORKS WITH MULTIPLE STEADY STATES

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