Abstract
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 vertices. The occurrence of a vertex (loss of differentiability) on a crisis locus implies the existence of simultaneous sudden changes in the structure of both the chaotic attractor and of its basin boundary. Vertices correspond to 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.
Original language | English |
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Pages (from-to) | 1359-1362 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 71 |
Issue number | 9 |
DOIs | |
Publication status | Published - 30 Aug 1993 |
Keywords
- transmitted light
- transient chaos
- ring cavity
- metamorphoses