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  • 34-XX Ordinary differential equations
  • 34Cxx Qualitative theory
  • 34C05 Location of integral curves, singular points, limit cycles

34Cxx Qualitative theory

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

C. Rousseau, D. Schlomiuk (1988)

Annales Polonici Mathematici

Global qualitative investigation, limit cycle bifurcations and Applications of Polynomial Dynamical Systems

Gaiko, Valery (1998)

Proceedings of Equadiff 9

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