Abstract
The transition to chaos in random dynamical systems was studied. The situations were considered where a periodic attractor coexisted with a nonattracting chaotic saddle, which could be expected in any periodic window of a nonlinear dynamical system. The asymptotic attractor of the system could become chaotic under noise, as characterized by the appearance of a positive Lyapunov exponent.
| Original language | English |
|---|---|
| Article number | 026210 |
| Pages (from-to) | 262101-2621017 |
| Number of pages | 2358917 |
| Journal | Physical Review E |
| Volume | 67 |
| Issue number | 2 2 |
| State | Published - Feb 2003 |
| Externally published | Yes |