Localization analysis of compact invariant sets of multi-dimensional nonlinear systems and symmetrical prolongations

DOI10.1016/j.cnsns.2009.05.068zbMath1221.34125OpenAlexW2093085505MaRDI QIDQ718218

Alexander P. Krishchenko, Konstantin E. Starkov

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.068

zbMATH Keywords

Lorenz systemlocalizationBénard convectioncompact invariant setRayleighsymmetrical prolongation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Invariant manifolds for ordinary differential equations (34C45) Stability of manifolds of solutions to ordinary differential equations (34D35)

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Cites Work

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• On the relation between Rayleigh-Bénard convection and Lorenz system
• Dynamic bifurcation and stability in the Rayleigh-Bénard convection
• Localization of compact invariant sets of the Lorenz system
• Generalized Lorenz models and their routes to chaos. I: Energy-conserving vertical mode truncations
• Generalized Lorenz models and their routes to chaos. III: Energy-conserving horizontal and vertical mode truncations
• Generalized Lorenz models and their routes to chaos. II: Energy-conserving horizontal mode truncations
• Deterministic Nonperiodic Flow
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM

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