### 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) |
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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 A |

State | Published - May 2000 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

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

*61*(5 A), 5019-5032.

**Topological scaling and gap filling at crisis.** / Szabó, K. Gábor; Lai, Ying-Cheng; Tél, Tamás; Grebogi, Celso.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 61, no. 5 A, pp. 5019-5032.

}

TY - JOUR

T1 - Topological scaling and gap filling at crisis

AU - Szabó, K. Gábor

AU - Lai, Ying-Cheng

AU - Tél, Tamás

AU - Grebogi, Celso

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.

UR - http://www.scopus.com/inward/record.url?scp=0001519322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001519322&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001519322

VL - 61

SP - 5019

EP - 5032

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 5 A

ER -