Abstract
One of the major routes to chaotic scattering is through an abrupt bifurcation by which a nonattracting chaotic saddle is created as a system parameter changes through a critical value. In a previously investigated case, however, the fractal dimension of the set of singularities in the scattering function changes continuously through the bifurcation. We describe a type of abrupt bifurcation to chaotic scattering where this physically relevant dimension changes discontinuously at the bifurcation. The bifurcation is illustrated using a class of open Hamiltonian systems consisting of Morse potential hills. [S1063-651X(99)51112-4].
Original language | English |
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Pages (from-to) | R6283-R6286 |
Number of pages | 4 |
Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 60 |
Issue number | 6 |
Publication status | Published - Dec 1999 |
Keywords
- Hamiltonian-systems
- vortex pairs
- dynamics
- fluctuations
- attractors
- behavior
- regime
- model