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Dynamical Systems Seminar: Yuzuru Sato

Noise-induced phenomena in one-dimensional maps

Yuzuru Sato

Ìý

Dept. of Mathematics, Hokkaido University

Ìý

Date and time:Ìý

Thursday, January 20, 2011 - 4:30pm

Abstract:Ìý

Problems of complex behavior of random dynamical systems are investigated based on numerically observed noise-induced phenomena in Belousov-Zhabotinsky map (BZ map) and modified Lasota-Mackey map with presence of noise. We found that (i) both noise-induced chaos and noise-induced order robustly coexist, and that (ii) asymptotic periodicity of density is varied by noise amplitude. Applications to time series analysis are also discussed.