Mathematical Sciences Classification System

37Fxx - Complex dynamical systems
[See also 30D05, 32H50]

  • 37F05
    Relations and correspondences
  • 37F10
    Polynomials; rational maps; entire and meromorphic functions [See also 32A10, 32A20, 32H02, 32H04]
  • 37F15
    Expanding maps; hyperbolicity; structural stability
  • 37F20
    Combinatorics and topology
  • 37F25
    Renormalization
  • 37F30
    Quasiconformal methods and Teichmüller theory; Fuchsian and Kleinian groups as dynamical systems
  • 37F35
    Conformal densities and Hausdorff dimension
  • 37F40
    Geometric limits
  • 37F45
    Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
  • 37F50
    Small divisors, rotation domains and linearization; Fatou and Julia sets
  • 37F75
    Holomorphic foliations and vector fields [See also 32M25, 32S65, 34Mxx]
  • 37F99
    None of the above, but in this section

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