First integrals of systems with gyroscopic forces

zbMath0597.70019MaRDI QIDQ1079388

Sergey V. Bolotin

Publication date: 1984

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

two degrees of freedomvariational principlegyroscopic forcesenergy surfaceJacobi first integralnonconstant first integralstopological obstacles

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75)

Related Items (8)

Dynamical systems with variable dissipation: approaches, methods, and applications ⋮ On integrability in elementary functions of certain classes of nonconservative dynamical systems ⋮ On polynomially integrable Birkhoff billiards on surfaces of constant curvature ⋮ Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom ⋮ New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces ⋮ On first integrals of geodesic flows on a two-torus ⋮ Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs ⋮ Polynomial integrals of dynamical systems with one-and-a-half degrees of freedom

This page was built for publication: First integrals of systems with gyroscopic forces