TY - JOUR
T1 - Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
AU - Kostelich, Eric
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1994/12/19
Y1 - 1994/12/19
N2 - 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.
AB - 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.
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U2 - 10.1016/0375-9601(94)91072-3
DO - 10.1016/0375-9601(94)91072-3
M3 - Article
AN - SCOPUS:22244485236
VL - 196
SP - 206
EP - 212
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 1-2
ER -