Transient Chaos in Low-Dimensional Systems

Ying-Cheng Lai, Tamás Tél

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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)
PublisherSpringer
Pages37-77
Number of pages41
DOIs
StatePublished - Jan 1 2011

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume173
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

    Fingerprint

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Lai, Y-C., & Tél, T. (2011). Transient Chaos in Low-Dimensional Systems. In Applied Mathematical Sciences (Switzerland) (pp. 37-77). (Applied Mathematical Sciences (Switzerland); Vol. 173). Springer. https://doi.org/10.1007/978-1-4419-6987-3_2