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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
• 8
  34C15
  Nonlinear oscillations, coupled oscillators
• 4
  34C20
  Transformation and reduction of equations and systems, normal forms
• 18
  34C23
  Bifurcation [See also 37Gxx]
• 23
  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