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Integral invariants of the Hamilton equations

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Publication:1916635
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DOI10.1007/BF02304771zbMath0853.58052MaRDI QIDQ1916635

Valery V. Kozlov

Publication date: 5 January 1997

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Hamiltonian systemsrestricted three-body problemintegral invariantsPoincaré-Cartan invariant


Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesic flows in symplectic geometry and contact geometry (53D25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


Related Items (1)

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Cites Work

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  • Symmetry fields of geodesic flows
  • The Liouville property of invariant measures of completely integrable systems and the Monge-Ampère equation
  • Dynamical systems determined by the Navier-Stokes equations
  • Oscillatory solutions in the planar restricted three-body problem
  • Final motions in the three-body problem and symbolic dynamics
  • SOME SMOOTH ERGODIC SYSTEMS


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