Abstract
Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.
Original language | English |
---|---|
Pages (from-to) | 5019-5032 |
Number of pages | 14 |
Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 61 |
Issue number | 5 |
Publication status | Published - May 2000 |
Keywords
- NOISE-INDUCED CRISES
- Q-PHASE TRANSITIONS
- CHAOTIC ATTRACTORS
- TRANSIENT CHAOS
- INDUCED INTERMITTENCY
- CRITICAL EXPONENT
- EXPERIMENTAL CONFIRMATION
- STRANGE ATTRACTORS
- DYNAMICS
- BEHAVIOR