Title of article
Localization analysis of compact invariant sets of multi-dimensional nonlinear systems and symmetrical prolongations
Author/Authors
Krishchenko، نويسنده , , Alexander P. and Starkov، نويسنده , , Konstantin E.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
1159
To page
1165
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.
Keywords
localization , Compact invariant set , Symmetrical prolongation , Lorenz system , Rayleigh–Bénard convection
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2010
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1535000
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