Pattern Dynamics Associated with Dynamic Phase Transitions: Domain Walls, Phase Waves, and Spatio-Temporal Chaos: Domain Walls, Phase Waves, and Spatio-Temporal Chaos

Spatio-temporal Chaos. 1. Hyperbolicity, Structural Stability, Spatio-temporal Shadowing and Symbolic Dynamics

In a series of three papers, we study the geometrical and statistical structure of a class of coupled map lattices with natural couplings. These are innnite-dimensional analogues of Axiom A systems. Our main result is the existence of a natural spatio-temporal measure which is the spatio-temporal analogue of the SRB measure. In this paper we develop a stable manifold theory for such systems as ...

Spatio-temporal Chaos. Errors and Correction

Controlling Optical Chaos , Spatio - Temporal Dynamics , and Patterns

We describe how small perturbations applied to optical systems can be used to suppress or control optical chaos, spatio-temporal dynamics, and patterns. This research highlights the fact that complex behavior, such as chaos, has a beautiful and orderly underlying structure. We demonstrate that this orderly structure can be exploited for a variety of applications, such as stabilizing laser behav...

Interaction of gravitational waves with domain walls

We study the gravitational perturbations of thick domain walls. The refraction index and spin properties of the solutions interior to the wall are analyzed in detail. It is shown that the gravitational waves suffer a refraction process by domain walls. The reflection and transmission coefficients are derived in the thin wall limit. In relation to the spin content, it is shown that the ‘×’ helic...

Interaction between gravitational waves and domain walls

We study the gravitational perturbations of thick domain walls. The refraction index and spin properties of the solutions interior to the wall are analyzed in detail. It is shown that the gravitational waves suffer a refraction process by domain walls. The reflection and transmission coefficients are derived in the thin wall limit. In relation to the spin content, it is shown that the “×” helic...