Abstract
Chaotic saddles are nonattracting dynamical invariant sets that physically lead to transient chaos. As a system parameter changes, chaotic saddles can evolve via an infinite number of homoclinic or heteroclinic tangencies of their stable and unstable manifolds. Based on previous numerical evidence and a rigorous analysis of a class of representative models, we show that dynamical invariants such as the topological entropy and the fractal dimension of chaotic saddles obey a universal behavior: they exhibit a devil-staircase characteristic as a function of the system parameter. [S1063-651X(99)01605-0].
| Original language | English |
|---|---|
| Pages (from-to) | 5261-5265 |
| Number of pages | 5 |
| Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 59 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 1999 |
Keywords
- leapfrogging vortex pairs
- open hydrodynamical flows
- topological-entropy
- symbolic dynamics
- chemical chaos
- attractors
- scattering
- communication
- crisis
- noise