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 journalArticlepeer-review

43 Citations (Scopus)


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
Issue number13
Publication statusPublished - 1995


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