HOW TWO COMPETING CHARACTERISTIC EXPONENTS GENERATE DIFFERENT CLASSES OF FRACTAL BOUNDARIES-Reference-Cited by-同舟云学术

HOW TWO COMPETING CHARACTERISTIC EXPONENTS GENERATE DIFFERENT CLASSES OF FRACTAL BOUNDARIES

Published:1991-09 Issue:03 Volume:01 Page:599-604
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

PEINKE JOACHIM¹,KLEIN MICHAEL²,KITTEL ACHIM³,KAHLERT CLAUS²,STOOP RUEDI⁴,PARISI JÜRGEN²⁴,RÖSSLER OTTO E.²

Affiliation:

1. Centre de Recherche sur les Très Basses Témperatures, C.N.R.S., BP 166X, F-38042 Grenoble, France

2. Institute for Physical and Theoretical Chemistry, University of Tübingen, Morgenstelle 8, D-7400 Tübingen, Germany

3. Physical Institute, University of Tübingen, Morgenstelle 14, D-7400 Tübingen, Germany

4. Physics Institute, University of Zurich, Schönberggasse 9, CH-8001 Zurich, Switzerland

Abstract

We present support to the conjecture, proposed recently, that two characteristic exponents within a dynamical system decide whether a fractal boundary separating two basins of attraction is nowhere differentiable, self-similar, or self-affine, respectively.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127491000439

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractal features of invariant sets in a three-dimensional map;Chaos, Solitons & Fractals;1994-10

2. On chaos, fractals and turbulence;Physica Scripta;1993-01-01

3. Fractal structures of spheroidal chaotic attractors;Physica A: Statistical Mechanics and its Applications;1992-12

4. A generic mechanism determining the fractality of basin boundary structures;Physica A: Statistical Mechanics and its Applications;1992-12