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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