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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Three Types of Chaotic Attractors in 3 D Maps

  • Michael Klein , Achim Kittel and Gerold Baier

Abstract

Coupling a one-dimensional chaotic forcing to a stable fixed point in the plane may generate different fractal attractors embedded in three dimensions. The system with real eigenvalues of the fixed point gives rise to simple chaotic attractors with three different types of fractal structures. We show that the competition of local exponents provides a generic criterion for the classification of the fractal structures in dynamical systems.

Received: 1993-3-23
Published Online: 2014-6-2
Published in Print: 1993-6-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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