Mathematical Sciences Classification System
37Jxx - Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
[See also 53Dxx, 70Fxx, 70Hxx]
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37J05General theory, relations with symplectic geometry and topology
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37J10Symplectic mappings, fixed points
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37J15Symmetries, invariants, invariant manifolds, momentum maps, reduction [See also 53D20]
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37J20Bifurcation problems
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37J25Stability problems
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37J30Obstructions to integrability (nonintegrability criteria)
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37J35Completely integrable systems, topological structure of phase space, integration methods
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37J40Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion
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37J45Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
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37J50Action-minimizing orbits and measures
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37J55Contact systems [See also 53D10]
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37J60Nonholonomic dynamical systems [See also 70F25]
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37J99None of the above, but in this section