Dept. Math, Hokkaido Univ. EPrints Server

Random Dynamics from Time Series of Rotating Fluid

Preprint Series # 979
Sato, Yuzuru and Iima, Makoto and Tasaka, Yuji Random Dynamics from Time Series of Rotating Fluid. (30 June 2011); (Submitted)

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Abstract

A random dynamics is extracted from time series of laminar-turbulent transition in rotating fluid in an open cylinder. We focus on the dynamics of the surface height in the central region and measure switching dynamics between different quasi-stationary states and intensity of underlying turbulence. Density of return map is constructed from an one dimensional map with an stochastic term from the experimental data. It is shown that the random dynamics whose noise amplitude depends on the slow variable describes the observed macroscopic features of rotating fluid in terms of noise-induced phenomena.

Item Type:Preprint
Uncontrolled Keywords:Surface switching, Multiscale dynamics, Random dynamical systems, Noise-induced phenomena
Subjects:65-xx NUMERICAL ANALYSIS
76-xx FLUID MECHANICS
37-xx DYNAMICAL SYSTEMS AND ERGODIC THEORY
ID Code:2146