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  • 34-XX Ordinary differential equations
  • 34Cxx Qualitative theory
  • 34C40 Equations and systems on manifolds

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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Generic bifurcations of second order ordinary differential equations on differentiable manifolds

Milan Medveď (1977)

Mathematica Slovaca

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