Mathematical Sciences Classification System

34Cxx - Qualitative theory
[See also 37-XX]

  • 5
    34C05
    Location of integral curves, singular points, limit cycles
  • 5
    34C07
    Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)
  • 1
    34C08
    Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
  • 15
    34C10
    Oscillation theory, zeros, disconjugacy and comparison theory
  • 4
    34C11
    Growth, boundedness
  • 1
    34C12
    Monotone systems
  • 7
    34C14
    Symmetries, invariants
  • 7
    34C15
    Nonlinear oscillations, coupled oscillators
  • 4
    34C20
    Transformation and reduction of equations and systems, normal forms
  • 18
    34C23
    Bifurcation [See also 37Gxx]
  • 22
    34C25
    Periodic solutions
  • 34C26
    Relaxation oscillations
  • 11
    34C27
    Almost and pseudo-almost periodic solutions
  • 6
    34C28
    Complex behavior, chaotic systems [See also 37Dxx]
  • 10
    34C29
    Averaging method
  • 34C30
    Manifolds of solutions
  • 2
    34C37
    Homoclinic and heteroclinic solutions
  • 2
    34C40
    Equations and systems on manifolds
  • 1
    34C41
    Equivalence, asymptotic equivalence
  • 4
    34C45
    Invariant manifolds
  • 34C46
    Multifrequency systems
  • 34C55
    Hysteresis
  • 6
    34C60
    Qualitative investigation and simulation of models
  • 34C99
    None of the above, but in this section

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