First integrals and asymptotic trajectories

DOI10.1070/SM9291zbMath1444.34053OpenAlexW2980356550MaRDI QIDQ5112423

Valery V. Kozlov

Publication date: 29 May 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9291

zbMATH Keywords

splitting lemmaHamiltonian systemasymptotic trajectorygyroscopic stabilizationquasihomogeneous system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Asymptotic properties of solutions to ordinary differential equations (34D05) Critical points of functions and mappings on manifolds (58K05)

Related Items (6)

On the integrability of circulatory systems ⋮ Geometrical aspects of the hamiltonization problem of dynamical systems ⋮ On instability in systems with an integral invariant ⋮ Nonanalytic first integrals of analytic systems of differential equations in a neighborhood of stable equilibria ⋮ Instability of equilibria in a solenoidal force field ⋮ Integrals of circulatory systems which are quadratic in momenta

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