Entire solutions with merging fronts to a bistable periodic lattice dynamical system

DOI10.3934/dcds.2016.36.2329zbMath1335.37055OpenAlexW2525912989MaRDI QIDQ887709

Shi-Liang Wu, Cheng-Hsiung Hsu

Publication date: 27 October 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2329

zbMATH Keywords

bistable nonlinearityentire solutionperiodic lattice dynamical systempulsating (periodic) traveling front

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)

Related Items (9)

Entire solutions in a two-dimensional nonlocal lattice dynamical system ⋮ Entire solutions for an inhomogeneous bistable discrete diffusive equation ⋮ Entire solutions of Lotka-Volterra competition systems with nonlocal dispersal ⋮ Traveling waves and entire solutions for an epidemic model with asymmetric dispersal ⋮ Entire solutions originating from monotone fronts for nonlocal dispersal equations with bistable nonlinearity ⋮ Novel entire solutions in a nonlocal 2-D discrete periodic media for bistable dynamics ⋮ Pulsating type entire solutions originating from three fronts for a bistable reaction-advection-diffusion equation in periodic media ⋮ Propagation dynamics in a three-species competition model with nonlocal anisotropic dispersal ⋮ Entire solutions of Lotka-Volterra strong competition systems with nonlocal dispersal

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