講演者：Prof. Ying-Cheng Lai（Arizona State Univ.）
講演題目： Transition to Chaos in Random Dynamical Systems
Noise-induced chaos is a fundamental problem in nonlinear dynamics and statistical physics. The focus of our recent research in this direction has been on continuous-time dynamical systems for common situations where a nonchaotic (e.g., periodic) attractor coexists with a nonattracting chaotic set, as in a periodic window. Under the influence of noise, the attractor of the system can become chaotic, as characterized by the appearance of a positive Lyapunov exponent. In this talk, the dynamical mechanism responsible for the transition will be explained and a general scaling law for the largest Lyapunov exponent versus the noise variation will be derived. Related issues such as intermittency, change in the topology of the flow, and unstable dimension variability will be discussed. Numerical and experimental confirmation of these results will be presented.