Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair Bifurcation
- 28 March 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (13) , 935-938
- https://doi.org/10.1103/physrevlett.50.935
Abstract
A new type of bifurcation to chaos is pointed out and discussed. In this bifurcation two unstable fixed points or periodic orbits are created simultaneously with a strange attractor which has a fractal basin boundary. Chaotic transients associated with the coalescence of the unstable-unstable pair are shown to be extraordinarily long-lived.Keywords
This publication has 4 references indexed in Scilit:
- Chaotic Attractors in CrisisPhysical Review Letters, 1982
- Strange attractors and chaotic motions of dynamical systemsReviews of Modern Physics, 1981
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978