Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems

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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.

Original languageEnglish (US)
Pages (from-to)206-212
Number of pages7
JournalPhysics Letters A
Volume196
Issue number1-2
DOIs
StatePublished - Dec 19 1994

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sensitivity
symmetry
exponents
perturbation

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  • Physics and Astronomy(all)

Cite this

Extreme final state sensitivity in inhomogeneous spatiotemporal chaotic systems. / Lai, Ying-Cheng; Grebogi, Celso; Kostelich, Eric.

In: Physics Letters A, Vol. 196, No. 1-2, 19.12.1994, p. 206-212.

Research output: Contribution to journalArticle

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