Traveling Waves in Lattice Dynamical Systems

1998/11/01 by Shui-Nee Chow, John Mallet-Paret, John Mallet‐Paret +1 · 14 citations
Computer Science · Engineering · #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations #Advanced Mathematical Modeling in Engineering

paper · doi:10.1006/jdeq.1998.3478

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• Wave propagation in a two-dimensional lattice dynamical system with global interaction
• Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
• Traveling Waves of Discrete Nonlinear Schrodinger Equations with Nonlocal Interactions
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS
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• Fisher-KPP waves and the minimal speed on hexagonal lattice
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• Random attractors for second-order stochastic lattice dynamical systems
• Existence of traveling wave solutions for a nonlocal bistable equation: an abstract approach
• Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects