Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities

Almost Periodic Oscillations and Waves

Uniqueness of Traveling Waves for a Two-Dimensional Bistable Periodic Lattice Dynamical System

and Applied Analysis 3 This paper is organized as follows. In Section 2, we give some preliminaries including a comparison principle. Then we prove uniqueness of traveling wave with nonzero speed in Section 3. 2. Preliminaries The following lemma can be easily deduced from 1.5 and 1.6 . Lemma 2.1. Let {ui,j}i,j∈Z be a solution of 1.1 – 1.6 . If c > 0 < 0 , then ui,j t → 0 → 1 as t → ∞ and ui,j ...

Periodic Traveling Waves in Diatomic Granular Chains

Periodic traveling waves in SIRS endemic models

Mathematical models are used to determine if infection wave fronts could occur by traveling geographically in a loop around a region or continent. These infectionwave fronts arise by Hopf bifurcation for some spatial models for infectious disease transmission with distributed-contacts. Periodic traveling waves are shown to exist for the spatial analog of the SIRS endemic model, in which the tem...

Traveling avalanche waves in spatially discrete bistable reaction–diffusion systems

Infinitely extended two-dimensional reaction–diffusion lattices composed of bistable cells are considered. A class of particular stable stationary solutions, called pattern solutions, is introduced and examples are given. Pattern solutions persist at high diffusion coefficients whereas all other stable stationary solutions, with the exception of the constant solutions, disappear one after the o...