Bounding a domain containing all compact invariant sets of
the system modelling the Rayleigh-Benard convection: the symmetry-based approach

Krishchenko, Alexander; Starkov, Konstantin

Root / Conference Proceedings / 6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008) / Bounding a domain containing all compact invariant sets of the system modelling the Rayleigh-Benard convection: the symmetry-based approach

Bounding a domain containing all compact invariant sets of the system modelling the Rayleigh-Benard convection: the symmetry-based approach

Alexander Krishchenko, Konstantin Starkov

In our paper we study the localization problem of compact invariant sets of the system modelling the Rayleigh-Benard convection. Our results are based on using the first order extremum conditions, quadratic localizing functions and the symmetrical prolongation constructed between the Lorenz
system and this system.

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