Propagation dynamics in a nonlocal delayed lattice dynamical system with bistable nonlinearity

DOI10.1063/5.0059168OpenAlexW4224288949MaRDI QIDQ5884329

Chufen Wu, Zhaoquan Xu

Publication date: 20 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0059168

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Boundary value problems for functional-differential equations (34K10)

Related Items (1)

A new uniqueness theorem of wave profiles for a 2-d bistable lattice dynamical system

Cites Work

• Monotonicity, asymptotics and uniqueness of travelling wave solution of a non-local delayed lattice dynamical system
• Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models
• Bistable traveling waves for monotone semiflows with applications
• Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation
• 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
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Uniqueness and existence of traveling waves for discrete quasilinear monostable dynamics
• Propagation and its failure in a lattice delayed differential equation with global interaction
• Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness
• A discrete convolution model for phase transitions
• Entire Solutions in Delayed Lattice Differential Equations with Monostable Nonlinearity
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Traveling Waves of Bistable Dynamics on a Lattice
• Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction
• Uniqueness of travelling waves for nonlocal monostable equations

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