title: Slow stochastic switching by collective chaos of fast elements.
abstract: Coupled dynamical systems with one slow element and many fast elements are analyzed. By averaging over the dynamics of the fast variables, the adiabatic kinetic branch is introduced for the dynamics of the slow variable in the adiabatic limit. The dynamics without the limit are found to be represented by stochastic switching over these branches mediated by the collective chaos of the fast elements, while the switching frequency shows a complicated dependence on the ratio of the two time scales with some resonance structure. The ubiquity of the phenomena in the slow-fast dynamics is also discussed.
authors.affiliation: Research Center for Complex Systems Biology, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan.
authors.forename: Hidetoshi
authors.initials: H
authors.lastname: Aoki
authors.forename: Kunihiko
authors.initials: K
authors.lastname: Kaneko
mesh_terms: D017711:Nonlinear Dynamics; D013269:Stochastic Processes