Topological scaling and gap filling at crisis

K. Gábor Szabó; Ying-Cheng Lai; Tamás Tél; Celso Grebogi

doi:10.1103/PhysRevE.61.5019

Topological scaling and gap filling at crisis

K. Gábor Szabó, Ying-Cheng Lai, Tamás Tél, Celso Grebogi

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.

Original language	English (US)
Pages (from-to)	5019-5032
Number of pages	14
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	61
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.61.5019
State	Published - 2000

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.61.5019

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title = "Topological scaling and gap filling at crisis",

abstract = "Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.",

author = "Szab{\'o}, {K. G{\'a}bor} and Ying-Cheng Lai and Tam{\'a}s T{\'e}l and Celso Grebogi",

year = "2000",

doi = "10.1103/PhysRevE.61.5019",

language = "English (US)",

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AU - Szabó, K. Gábor

AU - Lai, Ying-Cheng

AU - Tél, Tamás

AU - Grebogi, Celso

PY - 2000

Y1 - 2000

N2 - Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.

AB - Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.

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U2 - 10.1103/PhysRevE.61.5019

DO - 10.1103/PhysRevE.61.5019

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SN - 1063-651X

VL - 61

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JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

IS - 5

ER -

Topological scaling and gap filling at crisis

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