Dynamical Systems and Traveling Waves in Almost Periodic Structures

Traveling Waves in Lattice Dynamical Systems

In this paper, we study the existence and stability of traveling waves in lattice dynamical systems, in particular, in lattice ordinary di erential equations (lattice ODE's) and in coupled map lattices (CML's). Instead of employing the moving coordinate approach as for partial di erential equations, we construct a local coordinate system around a traveling wave solution of a lattice ODE, analog...

Traveling Waves on Lattice Dynamical Systems

We consider traveling wave solutions for nonlinear lattices of particles with nearest neighbour interaction. By using variational methods we prove the existence of monotone traveling waves for nite, periodic lattices and show that in the limit, as the period goes to innnity, these waves converge to corresponding solutions of the innnite lattice.

Almost Periodic Oscillations and Waves

Existence of Traveling Waves in Lattice Dynamical Systems

Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists c 0 ∗ > such that for each c c∗ ≥ , the systems under consideration admit monotonic nondecreasing traveling waves.

Periodic Traveling Waves in Diatomic Granular Chains