Unstable periodic orbits and the dimension of chaotic attractors

Celso Grebogi; Edward Ott; James A. Yorke

doi:10.1103/PhysRevA.36.3522

Rapid Communication

Unstable periodic orbits and the dimension of chaotic attractors

Celso Grebogi, Edward Ott, and James A. Yorke

Phys. Rev. A 36, 3522(R) – Published 1 October 1987

Abstract

A formulation giving the $q$ dimension $D_{q}$ of a chaotic attractor in terms of the eigenvalues of unstable periodic orbits is presented and discussed.

Received 9 July 1987

DOI:https://doi.org/10.1103/PhysRevA.36.3522

Authors & Affiliations

Celso Grebogi

Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742

Edward Ott

Laboratory for Plasma and Fusion Energy Studies, Department of Electrical Engineering, and Department of Physics, University of Maryland, College Park, Maryland 20742

James A. Yorke

Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742

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Vol. 36, Iss. 7 — October 1987

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