Mathematical Sciences Classification System
34Cxx - Qualitative theory
[See also 37-XX]
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34C05Location of integral curves, singular points, limit cycles
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34C07Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)
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34C08Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
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34C10Oscillation theory, zeros, disconjugacy and comparison theory
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34C11Growth, boundedness
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34C12Monotone systems
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34C14Symmetries, invariants
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34C15Nonlinear oscillations, coupled oscillators
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34C20Transformation and reduction of equations and systems, normal forms
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34C23Bifurcation [See also 37Gxx]
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34C25Periodic solutions
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34C26Relaxation oscillations
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34C27Almost and pseudo-almost periodic solutions
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34C28Complex behavior, chaotic systems [See also 37Dxx]
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34C29Averaging method
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34C30Manifolds of solutions
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34C37Homoclinic and heteroclinic solutions
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34C40Equations and systems on manifolds
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34C41Equivalence, asymptotic equivalence
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34C45Invariant manifolds
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34C46Multifrequency systems
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34C55Hysteresis
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34C60Qualitative investigation and simulation of models
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34C99None of the above, but in this section