Topological analysis of natural systems with quadratic integrals

DOI10.1016/0021-8928(85)90119-4zbMath0608.70018OpenAlexW2063341452MaRDI QIDQ1085994

V. I. Orekhov

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90119-4

zbMATH Keywords

bifurcationsphase spacelinear integralsconfiguration manifoldnatural systemstopological analysisquadratic integralsintegral levels

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (1)

Dual parametrization of the bifurcation set of a mechanical system with quadratic integrals

Cites Work

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• Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid
• Algebraic constructions of integrable dynamical systems-extensions of the Volterra system

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