Unstable periodic orbits and the dimension of chaotic attractors
- 1 October 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 36 (7), 3522-3524
- https://doi.org/10.1103/physreva.36.3522
Abstract
A formulation giving the dimension of a chaotic attractor in terms of the eigenvalues of unstable periodic orbits is presented and discussed.
Keywords
This publication has 6 references indexed in Scilit:
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- Critical Exponent of Chaotic Transients in Nonlinear Dynamical SystemsPhysical Review Letters, 1986
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- The infinite number of generalized dimensions of fractals and strange attractorsPhysica D: Nonlinear Phenomena, 1983
- Generalized dimensions of strange attractorsPhysics Letters A, 1983
- The dimension of chaotic attractorsPhysica D: Nonlinear Phenomena, 1983