Geometric properties of the pruning front

Year: 1991

Authors: D’Alessandro G., Isola S., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Firenze, Italy;
Department of Physics, University of Strathclyde, Glasgow, United Kingdom

Abstract: Monotonicity of the pruning front is proved for the Lozi map. A general expression for its Hausdorff dimension is also derived which takes into account multifractal fluctuations as well.

Journal/Review: PROGRESS OF THEORETICAL PHYSICS

Volume: 86 (6)      Pages from: 1149  to: 1157

KeyWords: DYNAMIC-SYSTEMS; HENON MAP; ATTRACTORS
DOI: 10.1143/PTP.86.1149

Citations: 5
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