Transient Chaos in Low-Dimensional Systems

Ying-Cheng Lai, Tamás Tél

Research output: Chapter in Book/Report/Conference proceedingChapter


We study low-dimensional dynamical systems, i.e., systems described by one-dimensional noninvertible or two-dimensional invertible maps. For such systems it is often possible to obtain analytic understanding of generic properties of transient chaos that are shared by more realistic physical systems. For example, for a higher-dimensional system, one-dimensional maps can be used to model the dynamics along the unstable manifold [564, 220].

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages41
StatePublished - Jan 1 2011

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


  • Escape Rate
  • Lyapunov Exponent
  • Periodic Orbit
  • Topological Entropy
  • Unstable Manifold

ASJC Scopus subject areas

  • Applied Mathematics

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