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70Hxx

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Hamiltonian and Lagrangian mechanics [See also 37Jxx]
  • 70H03 Lagrange's equations
  • 70H05 Hamilton's equations
  • 70H06 Completely integrable systems and methods of integration
  • 70H07 Nonintegrable systems
  • 70H08 Nearly integrable Hamiltonian systems, KAM theory
  • 70H09 Perturbation theories
  • 70H11 Adiabatic invariants
  • 70H12 Periodic and almost periodic solutions
  • 70H14 Stability problems
  • 70H15 Canonical and symplectic transformations
  • 70H20 Hamilton-Jacobi equations
  • 70H25 Hamilton's principle
  • 70H30 Other variational principles
  • 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