Seminar
September 06, 2013
12:15 PM
Collins Conference Room
Yuzuru Sato (Hokkaido University, Japan)
Abstract. Noise-induced phenomena arise out of interaction between deterministic dynamics and stochastic noise. Stochastic resonance, noise-induced synchronization, and noise-induced chaos are typical examples in statistical and nonlinear physics. The central problem in this research area is in which way the asymptotic behavior of the deterministic system is altered by external noise. The simplest mathematical model for this problem is one-dimensional map stochastically perturbed by external noise. In this presentation, we discuss typical noise-induced phenomena in one-dimensional maps, including recently discovered noise-induced phenomena, such as multiple noise-induced transition, noise-induced statistical periodicity, and noise-induced riddling. An application to nonlinear time-series analysis of rotating fluid is also exhibited.
Purpose: Research Collaboration
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