| 34-XX |
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Ordinary differential equations |
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34Cxx |
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Qualitative theory [See also 37-XX] |
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34C05 |
Location of integral curves, singular points, limit cycles |
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34C07 |
Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) |
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34C08 |
Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.) |
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34C10 |
Oscillation theory, zeros, disconjugacy and comparison theory |
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34C11 |
Growth, boundedness, comparison of solutions |
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34C12 |
Monotone systems |
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34C14 |
Symmetries, invariants |
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34C15 |
Nonlinear oscillations, coupled oscillators |
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34C20 |
Transformation and reduction of equations and systems, normal forms |
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34C23 |
Bifurcation [See mainly 37Gxx] |
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34C25 |
Periodic solutions |
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34C26 |
Relaxation oscillations |
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34C27 |
Almost periodic solutions |
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34C28 |
Complex behavior, chaotic systems [See mainly 37Dxx] |
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34C29 |
Averaging method |
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34C30 |
Manifolds of solutions |
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34C37 |
Homoclinic and heteroclinic solutions |
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34C40 |
Equations and systems on manifolds |
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34C41 |
Equivalence, asymptotic equivalence |
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34C45 |
Method of integral manifolds |
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34C55 |
Hysteresis |
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34C60 |
Applications |
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34C99 |
None of the above, but in this section |
