Geometric Properties of the Chaotic Saddle Responsible for Supertransients in Spatiotemporal Chaotic Systems

Ying-Cheng Lai, Raymond L. Winslow

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Superlong chaotic transients have been observed commonly in spatiotemporal chaotic dynamical systems. The phenomenology is that trajectories starting from random initial conditions behave chaotically for an extremely long time before settling into a final nonchaotic attractor. We demonstrate that supertransients are due to nonattracting chaotic saddles whose stable manifold measures have fractal dimensions that are arbitrarily close to the phase-space dimension. Numerical examples using coupled map lattices are given.
Original languageEnglish
Pages (from-to)5208-5211
Number of pages4
JournalPhysical Review Letters
Issue number26
Publication statusPublished - 26 Jun 1995


  • coupled map lattices
  • dynamic-systems
  • attractors
  • intermittency
  • transition
  • dimension

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