Double crises in two-parameter dynamical systems

H. Bruce Stewart*, Yoshisuke Ueda, Celso Grebogi, James A. Yorke

*Corresponding author for this work

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

A crisis is a sudden discontinuous change in a chaotic attractor as a system parameter is varied. We investigate phenomena observed when two parameters of a dissipative system are varied simultaneously, following a crisis along a curve in the parameter plane. Two such curves intersect at a point we call a double crisis vertex. The phenomena we study include the double crisis vertex at which an interior and a boundary crisis coincide, and related forms of double crisis. We show how an experimenter can infer a crisis from observations of other related crises at a vertex.

Original languageEnglish
Pages (from-to)2478-2481
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number13
DOIs
Publication statusPublished - 1995

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dynamical systems
apexes
curves

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  • Physics and Astronomy(all)

Cite this

Double crises in two-parameter dynamical systems. / Stewart, H. Bruce; Ueda, Yoshisuke; Grebogi, Celso; Yorke, James A.

In: Physical Review Letters, Vol. 75, No. 13, 1995, p. 2478-2481.

Research output: Contribution to journalArticle

Stewart, H. Bruce ; Ueda, Yoshisuke ; Grebogi, Celso ; Yorke, James A. / Double crises in two-parameter dynamical systems. In: Physical Review Letters. 1995 ; Vol. 75, No. 13. pp. 2478-2481.
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