scientific article; zbMATH DE number 835536

zbMath0843.58068MaRDI QIDQ4861397

Valery V. Kozlov

Publication date: 17 January 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

perturbation methodresonant torinonintegrabilitycompletely integrable systemsasymptotic surfacestopological and geometrical obstructions to complete integrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (3)

Boltzmann and Poincaré entropy, Boltzmann extremals, and Hamilton-Jacobi method for non-Hamiltonian situation ⋮ Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials ⋮ Quasiperiodic forced oscillations of a solid body in the field of a quadratic potential

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