Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems

Abstract

Recently it has been found that spatiotemporal chaotic systems modeled by coupled map lattices with translational symmetry exhibit an extreme type of final state sensitivity characterized by a near-zero uncertainty exponent in both phase space and parameter space. A perturbation in initial condition and parameter, no matter how small from the point of view of computation, has a significant probability of altering the system's asymptotic attractor completely. In this paper we demonstrate that such a final state sensitivity persists for spatiotemporal systems without symmetry. This suggests that extreme final state sensitivity is a robust dynamical phenomenon in spatiotemporal chaotic systems.