Mathematical Sciences Classification System

37Jxx - Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
[See also 53Dxx, 70Fxx, 70Hxx]

  • 7
    37J05
    General theory, relations with symplectic geometry and topology
  • 4
    37J10
    Symplectic mappings, fixed points
  • 9
    37J15
    Symmetries, invariants, invariant manifolds, momentum maps, reduction [See also 53D20]
  • 37J20
    Bifurcation problems
  • 3
    37J25
    Stability problems
  • 2
    37J30
    Obstructions to integrability (nonintegrability criteria)
  • 18
    37J35
    Completely integrable systems, topological structure of phase space, integration methods
  • 7
    37J40
    Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion
  • 6
    37J45
    Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
  • 2
    37J50
    Action-minimizing orbits and measures
  • 2
    37J55
    Contact systems [See also 53D10]
  • 37J60
    Nonholonomic dynamical systems [See also 70F25]
  • 37J99
    None of the above, but in this section

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