Algebraic approximation of attractors of dynamical systems on manifolds |
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Authors: | A. E. Malykh V. Reitmann G. S. Rozhkov |
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Affiliation: | 1. St. Petersburg State University, St. Petersburg, Russia
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Abstract: | We consider an algebraic approximation of attractors of dynamical systems defined on a Euclidean space, a flat cylinder, and a projective space. We present the Foias-Temam method for the approximation of attractors of systems with continuous time and apply it to the investigation of Lorenz and Rössler systems. A modification of this method for systems with discrete time is also described. We consider elements of the generalization of the method to the case of an arbitrary Riemannian analytic manifold. |
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