EXTREME FINAL-STATE SENSITIVITY IN INHOMOGENEOUS SPATIOTEMPORAL CHAOTIC SYSTEMS

Y C LAI, C GREBOGI, E J KOSTELICH, Ying-Cheng Lai

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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
Pages (from-to)206-212
Number of pages7
JournalPhysics Letters A
Volume196
Issue number3-4
Publication statusPublished - 26 Dec 1994

Keywords

  • COUPLED MAP LATTICES
  • PATTERN COMPETITION INTERMITTENCY
  • BASIN BOUNDARIES
  • FAT FRACTALS
  • SELECTION
  • DIFFUSION
  • DYNAMICS
  • DEFECT
  • LIMIT

Cite this

LAI, Y. C., GREBOGI, C., KOSTELICH, E. J., & Lai, Y-C. (1994). EXTREME FINAL-STATE SENSITIVITY IN INHOMOGENEOUS SPATIOTEMPORAL CHAOTIC SYSTEMS. Physics Letters A, 196(3-4), 206-212.