Functional method for the localization of invariant compact sets in discrete systems

DOI10.1134/S0012266110110078zbMath1219.37041OpenAlexW1976829922MaRDI QIDQ2429701

A. N. Kanatnikov

Publication date: 1 April 2011

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266110110078

zbMATH Keywords

invariant setlocalizationHenon systemautonomous discrete system

Mathematics Subject Classification ID

Related Items (14)

Localization of invariant compact sets of families of discrete-time systems ⋮ Localizing sets for invariant compact sets of continuous dynamical systems with a perturbation ⋮ Dynamic Analysis of the Melanoma Model: From Cancer Persistence to Its Eradication ⋮ Localization of compact invariant sets of discrete-time control systems ⋮ Stability of equilibria of discrete-time systems in terms of invariant sets ⋮ Localization of invariant compact sets in uncertain discrete systems ⋮ Maximal invariant compact sets of dynamical systems ⋮ Localization of compact invariant sets of discrete-time systems with disturbances ⋮ Stability of equilibria of discrete-time systems and localization of invariant compact sets ⋮ Use of polynomials in localization problems for continuous dynamical systems ⋮ Localizing sets for invariant compact sets of discrete dynamical systems with perturbation and control ⋮ On invariants and invariant hypersurfaces of complex discrete dynamical systems ⋮ Localization of control robust invariant compact sets in continuous systems ⋮ Localization of invariant compact sets in differential inclusions

Cites Work

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• Localization of invariant compact sets of discrete systems
• Localization of invariant compact sets of nonautonomous systems
• Estimations of domains with cycles
• Integrals of motion and the shape of the attractor for the Lorenz model

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