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.
|Number of pages
|Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
|Published - Feb 1 2003
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics