DOUBLE CRISES IN 2-PARAMETER DYNAMICAL-SYSTEMS

H B STEWART, Y UEDA, C GREBOGI, J A YORKE

Research output: Contribution to journalArticle

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
Publication statusPublished - 25 Sep 1995

Keywords

  • CHAOTIC ATTRACTORS
  • METAMORPHOSES
  • JUMPS

Cite this

STEWART, H. B., UEDA, Y., GREBOGI, C., & YORKE, J. A. (1995). DOUBLE CRISES IN 2-PARAMETER DYNAMICAL-SYSTEMS. Physical Review Letters, 75(13), 2478-2481.