Use of polynomials in localization problems for continuous dynamical systems

DOI10.1134/S001226611612003XzbMath1362.37052MaRDI QIDQ518152

Kh. M. Ramazanova, A. N. Kanatnikov

Publication date: 28 March 2017

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

zbMATH Keywords

localization problemslevel surfaces

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Invariant manifolds for ordinary differential equations (34C45) Real polynomials: analytic properties, etc. (26C05)

Cites Work

• Localization of invariant compact sets of discrete systems
• Bounding a domain containing all compact invariant sets of the permanent-magnet motor system
• Localization of invariant compact sets of nonautonomous systems
• Hermite's method of separation of solutions of systems of algebraic equations and its applications
• Localizing sets for invariant compact sets of continuous dynamical systems with a perturbation
• Localization of compact invariant sets of a new nonlinear finance chaotic system
• Localization of compact invariant sets of the Lorenz system
• Functional method for the localization of invariant compact sets in discrete systems
• Localization of invariant compact sets of dynamical systems
• ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM

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