Topological scaling and gap filling at crisis

K G Szabo, Y C Lai, T Tel, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticle

32 Citations (Scopus)

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 languageEnglish
Pages (from-to)5019-5032
Number of pages14
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number5
Publication statusPublished - May 2000

Keywords

  • NOISE-INDUCED CRISES
  • Q-PHASE TRANSITIONS
  • CHAOTIC ATTRACTORS
  • TRANSIENT CHAOS
  • INDUCED INTERMITTENCY
  • CRITICAL EXPONENT
  • EXPERIMENTAL CONFIRMATION
  • STRANGE ATTRACTORS
  • DYNAMICS
  • BEHAVIOR

Cite this

Topological scaling and gap filling at crisis. / Szabo, K G ; Lai, Y C ; Tel, T ; Grebogi, C ; Lai, Ying-Cheng.

In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, No. 5, 05.2000, p. 5019-5032.

Research output: Contribution to journalArticle

@article{1ddd836feade4cafb3ba34e31d89df3f,
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.",
keywords = "NOISE-INDUCED CRISES, Q-PHASE TRANSITIONS, CHAOTIC ATTRACTORS, TRANSIENT CHAOS, INDUCED INTERMITTENCY, CRITICAL EXPONENT, EXPERIMENTAL CONFIRMATION, STRANGE ATTRACTORS, DYNAMICS, BEHAVIOR",
author = "Szabo, {K G} and Lai, {Y C} and T Tel and C Grebogi and Ying-Cheng Lai",
year = "2000",
month = "5",
language = "English",
volume = "61",
pages = "5019--5032",
journal = "Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Topological scaling and gap filling at crisis

AU - Szabo, K G

AU - Lai, Y C

AU - Tel, T

AU - Grebogi, C

AU - Lai, Ying-Cheng

PY - 2000/5

Y1 - 2000/5

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.

KW - NOISE-INDUCED CRISES

KW - Q-PHASE TRANSITIONS

KW - CHAOTIC ATTRACTORS

KW - TRANSIENT CHAOS

KW - INDUCED INTERMITTENCY

KW - CRITICAL EXPONENT

KW - EXPERIMENTAL CONFIRMATION

KW - STRANGE ATTRACTORS

KW - DYNAMICS

KW - BEHAVIOR

M3 - Article

VL - 61

SP - 5019

EP - 5032

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

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

SN - 1063-651X

IS - 5

ER -