RECURRENCE TIME STATISTICS IN CHAOTIC DYNAMICS: MULTIPLE RECURRENCES IN INTERMITTENT CHAOS-Reference-Cited by-同舟云学术

RECURRENCE TIME STATISTICS IN CHAOTIC DYNAMICS: MULTIPLE RECURRENCES IN INTERMITTENT CHAOS

Published:2001-09 Issue:03 Volume:01 Page:345-359
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

BALAKRISHNAN V.¹,NICOLIS G.¹,NICOLIS C.²

Affiliation:

1. Centre for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, C.P. 231, Bd. du Triomphe, 1050 Brussels, Belgium

2. Institut Royal Météorologique de Belgique, Avenue Circulaire 3, 1180 Brussels, Belgium

Abstract

An exact expression is derived for the distribution of successive recurrences in a finite-cell partition of a general family of one-dimensional maps exhibiting intermittent chaos due to a tangency at a marginally stable fixed point, characterized by an index α. It is shown that multiple recurrences are not statistically independent events in the strict sense of the term. The asymptotic factorization of the joint distribution into a product of first recurrence time distributions is also analyzed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493701000163

Reference9 articles.

1. Poisson limit law for Markov chains

2. Poisson law for Axiom A diffeomorphisms

3. Continuity of type-I intermittency from a measure-theoretical point of view

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