La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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70-XX Mechanics of particles and systems [For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-XX]

• 70-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 70-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 70-02 Research exposition (monographs, survey articles)
• 70-03 Historical (must also be assigned at least one classification number from Section 01)
• 70-04 Explicit machine computation and programs (not the theory of computation or programming)
• 70-05 Experimental work
• 70-06 Proceedings, conferences, collections, etc.
• 70-08 Computational methods
• 70-99 Mechanics of particles and systems (not classified at a more specific level)
• 70A05 Axiomatics, foundations
• 70Bxx Kinematics [See also 53A17]
• 70C20 Statics
• 70Exx Dynamics of a rigid body and of multibody systems
• 70Fxx Dynamics of a system of particles, including celestial mechanics
• 70Gxx General models, approaches, and methods [See also 37-XX]
• 70Hxx Hamiltonian and Lagrangian mechanics [See also 37Jxx]
  • 70H03 Lagrange's equations [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 70H35, 58F05
  • 70H05 Hamilton's equations
  • 70H06 Completely integrable systems and methods of integration [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 58F05, 58F07, 70H05
  • 70H07 Nonintegrable systems [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34C99, 58F05, 70H05
  • 70H08 Nearly integrable Hamiltonian systems, KAM theory [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34C99, 58F05, 58F30, 70H05
  • 70H09 Perturbation theories [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34C29, 58F05, 58F30, 70H05
  • 70H11 Adiabatic invariants [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34C99, 34E99, 70H05, 70K99
  • 70H12 Periodic and almost periodic solutions [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34C25, 34C27, 58F22, 70H05
  • 70H14 Stability problems [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 34D99, 58F12, 70K15, 70K20
  • 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] [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 58F99, 70F20, 70F25, 70G99, 70H99
  • 70H50 Higher-order theories [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 58F05, 70H99
  • 70H99 None of the above, but in this section
• 70Jxx Linear vibration theory
• 70Kxx Nonlinear dynamics [See also 34Cxx, 37-XX]
• 70L05 Random vibrations [See also 74H50]
• 70M20 Orbital mechanics
• 70P05 Variable mass, rockets
• 70Q05 Control of mechanical systems [See also 49-XX, 93Cxx, 93Dxx]
• 70Sxx Classical field theories [See also 37Kxx, 37Lxx, 78-XX, 81Txx, 83-XX]

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