Double crises in two-parameter dynamical systems

Journal Article · Mon Sep 25 00:00:00 EDT 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.75.2478· OSTI ID:239440

Stewart, H B; Ueda, Y ^[1]; Grebogi, C; Yorke, J A ^[2]

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1. Brookhaven National Laboratory, Upton, New York 11973 (United States)
2. University of Maryland, College Park, Maryland 20742-3511 (United States)

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.

• OSTI ID: 239440
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 75; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ATTRACTORS
METAMORPHOSIS
OSCILLATORS
PHASE DIAGRAMS
SPACE
TRAJECTORIES