Introduction to Transient Chaos

Ying Cheng Lai, Tamás Tél

Research output: Chapter in Book/Report/Conference proceedingChapter


In numerical or experimental investigations one never has infinitely long time intervals at one’s disposal. In fact, what is needed for the observation of chaos is a well-defined separation of time scales. Let t 0 denote the internal characteristic time of the system. In continuous-time problems, t 0 can be the average turnover time of trajectories on a Poincaré map in the phase space. In a driven system, it is the driving period. In discrete-time dynamics, t 0 can be the time step itself.

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages33
StatePublished - 2011

Publication series

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


  • Chaotic Attractor
  • Homoclinic Orbit
  • Lyapunov Exponent
  • Stable Manifold
  • Unstable Manifold

ASJC Scopus subject areas

  • Applied Mathematics


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