34Cxx

 34B | 34 | 34D

Qualitative theory

[See also 37-XX]

34C05Location of integral curves, singular points, limit cycles
34C07Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)
34C08Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
34C10Oscillation theory, zeros, disconjugacy and comparison theory
34C11Growth, boundedness, comparison of solutions
34C12Monotone systems
34C14Symmetries, invariants
34C15Nonlinear oscillations, coupled oscillators
34C20Transformation and reduction of equations and systems, normal forms
34C23Bifurcation
[See mainly 37Gxx]
34C25Periodic solutions
34C26Relaxation oscillations
34C27Almost periodic solutions
34C28Complex behavior, chaotic systems
[See mainly 37Dxx]
34C29Averaging method
34C30Manifolds of solutions
34C37Homoclinic and heteroclinic solutions
34C40Equations and systems on manifolds
34C41Equivalence, asymptotic equivalence
34C45Method of integral manifolds
34C55Hysteresis
34C60Applications
34C99None of the above, but in this section