On the symmetry groups of dynamic systems

DOI10.1016/0021-8928(88)90026-3zbMath0704.70012OpenAlexW2004407491MaRDI QIDQ917343

Valery V. Kozlov

Publication date: 1988

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(88)90026-3

zbMATH Keywords

Hamiltonian systemssymmetry groupsphase spacedynamic systemasymptotic surfacesexistence of vector fieldsnon-degenerate periodic solutionsphase fluxes

Mathematics Subject Classification ID

Axiomatics, foundations (70A05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Symmetries of a flat cosymbol algebra of differential operators ⋮ Variational methods of constructing chaotic motions in rigid-body dynamics

Cites Work

• Intersection of asymptotic surfaces of the perturbed Euler-Poinsot problem
• Oscillatory solutions in the planar restricted three-body problem
• Integrability and non-integrability in Hamiltonian mechanics
• Final motions in the three-body problem and symbolic dynamics
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