34XX 


Ordinary differential equations 

34Cxx 

Qualitative theory [See also 37XX] 


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, comparison of solutions 


34C12 
Monotone systems 


34C14 
Symmetries, invariants 


34C15 
Nonlinear oscillations, coupled oscillators 


34C20 
Transformation and reduction of equations and systems, normal forms 


34C23 
Bifurcation [See mainly 37Gxx] 


34C25 
Periodic solutions 


34C26 
Relaxation oscillations 


34C27 
Almost periodic solutions 


34C28 
Complex behavior, chaotic systems [See mainly 37Dxx] 


34C29 
Averaging method 


34C30 
Manifolds of solutions 


34C37 
Homoclinic and heteroclinic solutions 


34C40 
Equations and systems on manifolds 


34C41 
Equivalence, asymptotic equivalence 


34C45 
Method of integral manifolds 


34C55 
Hysteresis 


34C60 
Applications 


34C99 
None of the above, but in this section 