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  • 37-XX Dynamical systems and ergodic theory
  • 37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
  • 37J50 Action-minimizing orbits and measures

37Jxx Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems

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