Mathematical Sciences Classification System

37-XX - Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]

  • 3
    37-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 96
    37-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 4
    37-02
    Research exposition (monographs, survey articles)
  • 18
    37-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 14
    37-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 219
    37-06
    Proceedings, conferences, collections, etc.
  • 1
    37-99
    None of the above, but in this section
  • 87
    (+55)
    Ergodic theory
    [See also 28Dxx]
  • 66
    (+57)
    Topological dynamics
    [See also 54H20]
  • 101
    (+104)
    Smooth dynamical systems: general theory
    [See also 34Cxx, 34Dxx]
  • 87
    (+87)
    Dynamical systems with hyperbolic behavior
  • 38
    (+21)
    Low-dimensional dynamical systems
  • 70
    (+27)
    Complex dynamical systems
    [See also 30D05, 32H50]
  • 56
    (+12)
    Local and nonlocal bifurcation theory
    [See also 34C23, 34K18]
  • 18
    (+8)
    Random dynamical systems
    [See also 15B52, 34D08, 34F05, 47B80, 70L05, 82C05, 93Exx]
  • 71
    (+60)
    Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
    [See also 53Dxx, 70Fxx, 70Hxx]
  • 55
    (+50)
    Infinite-dimensional Hamiltonian systems
    [See also 35Axx, 35Qxx]
  • 14
    (+22)
    Infinite-dimensional dissipative dynamical systems
    [See also 35Bxx, 35Qxx]
  • 15
    (+13)
    Approximation methods and numerical treatment of dynamical systems
    [See also 65Pxx]
  • 28
    (+70)
    Applications
  • 5
    (+2)
    Arithmetic and non-Archimedean dynamical systems
    [See also 11S82, 37A45]

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