Crises

Ying Cheng Lai, T. Tél

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Abstract

As a system parameter is varied, sudden and qualitative changes in the chaotic attractor can occur, the so-called crises [292, 293]. These qualitative changes can be seen in bifurcation diagrams where one coordinate, say x , of the attractor is plotted versus a system parameter, as shown in Fig. 3.1. Sudden shrinkage or enlargements of the set of x values are visible at several parameter values, indicating the complexity of crisis events in a typical dynamical system.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages79-106
Number of pages28
DOIs
Publication statusPublished - Jan 1 2011

Publication series

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

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Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Lai, Y. C., & Tél, T. (2011). Crises. In Applied Mathematical Sciences (Switzerland) (pp. 79-106). (Applied Mathematical Sciences (Switzerland); Vol. 173). Springer. https://doi.org/10.1007/978-1-4419-6987-3_3