Periodic orbit analysis of the Lorenz attractor |
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| Authors: | Bruno Eckhardt Gerolf Ott |
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| Affiliation: | (1) Fachbereich Physik and ICBM, C.v. Ossietzky Universität, Postfach 2503, D-26111 Oldenburg, Germany;(2) Institut für Festkörperforschung, Forschungszentrum Jülich, Postfach 1913, D-52405 Jülich, Germany;(3) Present address: Alcatel SEL AG, Bereich US/ES, D-70435 Stuttgart, Germany |
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| Abstract: | We present an application of the periodic orbit formalism to the Lorenz attractor at the standard parameter values. The symbolic encoding of trajectories, the effects of symmetries and scaling properties of trajectories are discussed. Good results for the Hausdorff dimension and the Lyapunov exponent are obtained. The classical spectral density is computed and positions and widths of resonances are compared with those found in correlation functions. |
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| Keywords: | 05.45.+b |
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