Asymptotic behavior for second order lattice dynamical systems.
Dynamical properties for a relaxation scheme applied to a weakly damped non local nonlinear Schrödinger equation.
Exponential attractor for a first-order dissipative lattice dynamical system.
Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation.
Invariant manifolds and cluster synchronization in a family of locally coupled map lattices.
On the stabilization of internally coupled map lattice systems.
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system.
Uniform attractor for the partly dissipative nonautonomous lattice systems.
Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems.