Algebraic approximation of attractors of dynamical systems on manifolds

作者:Malykh A E*; Reitmann V; Rozhkov G S
来源:Differential Equations, 2013, 49(13): 1704-1728.
DOI:10.1134/S001226611313003X

摘要

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 Rossler 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.

  • 出版日期2013-12