| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 767386 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 7 Pages |
Abstract
In our paper we study the localization problem of compact invariant sets of nonlinear systems. Methods of a solution of this problem are discussed and a new method is proposed which is based on using symmetrical prolongations and the first-order extremum condition. Our approach is applied to the system modeling the Rayleigh–Bénard convection for which the symmetrical prolongation with the Lorenz system has been constructed.
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Mechanical Engineering
Authors
Alexander P. Krishchenko, Konstantin E. Starkov,