Unstable Periodic Orbits and Attractor of the Lorenz Model

Abstract : Numerical method for detection of unstable periodic orbits on attractors of nonlinear dynamical systems is proposed. This method requires the similar techniques as the data assimilation does. This fact facilitates its implementation for geophysical models. Some low-period orbits of the Lorenz model have been calculated explicitely. The orbits encoding and application of symbolic dynamics is used to classify and identify the detected orbits and find the whole set of fundamental cycles. Application of the cycle expansion theory to the fundamental cycles set allows to approximate some attractor characteristics difficult to calculate directly.
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Rapport
[Research Report] RR-3344, INRIA. 1998, pp.17
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Soumis le : mercredi 24 mai 2006 - 12:35:22
Dernière modification le : samedi 17 septembre 2016 - 01:06:54
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:43:16

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Evgueni Kazantsev. Unstable Periodic Orbits and Attractor of the Lorenz Model. [Research Report] RR-3344, INRIA. 1998, pp.17. 〈inria-00073345〉

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