Vertices in parameter space: Double crises which destroy chaotic attractors
Journal Article
·
· Physical Review Letters; (United States)
- University of Maryland, College Park, Maryland 20742-3511 (United States)
We report a new phenomenon observed along a crisis locus when two control parameters of physical models are varied simultaneously: the existence of one or several [ital vertices]. The occurrence of a vertex (loss of differentiability) on a crisis locus implies the existence of [ital simultaneous] sudden changes in the structure of both the chaotic attractor and of its basin boundary. Vertices correspond to [ital degenerate] tangencies between manifolds of the unstable periodic orbits accessible from the basin of the chaotic attractor. Physically, small parameter perturbations (noise) about such vertices induce drastic changes in the dynamics.
- OSTI ID:
- 6245290
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:9; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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