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

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