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G. Leonov, A. Malykh, V. Reitmann (2009)
STRATIFICATION OF APPROXIMATING SURFACES FOR THE LORENZ ATTRACTOR
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Dinamicheskie sistemy, attraktory i otsenki ikh razmernosti
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GA Leonov, A Malykh, V Reitmann (2009)
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A Malykh (2011)
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Y. Kalinin, V. Reitmann (2012)
ALMOST PERIODIC SOLUTIONS IN CONTROL SYSTEMS WITH MONOTONE NONLINEARITIES
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.
Differential Equations – Springer Journals
Published: Feb 1, 2014
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