Symmetry-induced intermittency in a stochastic reflexive model

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Article on symmetry-induced intermittency in a stochastic reflexive model.

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Palatella, Luigi & Grigolini, Paolo February 21, 2012.

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Article on symmetry-induced intermittency in a stochastic reflexive model.

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10 p.

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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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  • February 21, 2012

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  • Feb. 14, 2014, 9:18 a.m.

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  • April 1, 2014, 1:26 p.m.

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Palatella, Luigi & Grigolini, Paolo. Symmetry-induced intermittency in a stochastic reflexive model, article, February 21, 2012; (https://digital.library.unt.edu/ark:/67531/metadc275002/: accessed December 4, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT College of Arts and Sciences.

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