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Mathematical Sciences Classification System

70Hxx - Hamiltonian and Lagrangian mechanics
[See also 37Jxx]

• 70H03
  Lagrange's equations
• 1
  70H05
  Hamilton's equations
• 12
  70H06
  Completely integrable systems and methods of integration
• 70H07
  Nonintegrable systems
• 2
  70H08
  Nearly integrable Hamiltonian systems, KAM theory
• 2
  70H09
  Perturbation theories
• 70H11
  Adiabatic invariants
• 70H12
  Periodic and almost periodic solutions
• 1
  70H14
  Stability problems
• 70H15
  Canonical and symplectic transformations
• 70H20
  Hamilton-Jacobi equations
• 70H25
  Hamilton's principle
• 70H30
  Other variational principles
• 13
  70H33
  Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction
• 70H40
  Relativistic dynamics
• 70H45
  Constrained dynamics, Dirac's theory of constraints [See also 70F20, 70F25, 70Gxx]
• 70H50
  Higher-order theories
• 70H99
  None of the above, but in this section