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Article on symmetry-induced intermittency in a stochastic reflexive model.
Physical Description
10 p.
Notes
Preprint submitted to Physica A, February 21, 2012.
Abstract: We discuss a route to intermittency based on the concept of reflexivity, namely on the interaction between an observer and a stochastic system. A simple model mirroring the essential aspects of this interference is shown to generate perennial out of equilibrium condition, intermittency and 1/f-noise. The intermittent properties of this model is induced by a scaling symmetry that turns isolated equilibrium points into equilibrium manifold with a non-constant escape rate. The permanence times distribution in the basin of attraction of equilibrium manifold can be analytically predicted through the adoption of a first-passage time technique. Finally we discuss the possible generalization of our approach and its implications in different fields of complex intermittent systems.
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