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Cycles of dynamical systems on the plane and Rolle's theorem

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Publication:1068149
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DOI10.1007/BF00968990zbMath0581.14023MaRDI QIDQ1068149

A. G. Khovanskii

Publication date: 1984

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Bezout theoremplanar dynamical systemsP-curvespolynomial systems of ordinary differential equations


Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Dynamical systems and ergodic theory (37-XX) Cycles and subschemes (14C99)


Related Items (4)

Simultaneous bifurcation of limit cycles from a cubic piecewise center with two period annuli ⋮ Genericity conditions for finite cyclicity of elementary graphics ⋮ On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on \(\mathbb{R}^3\) ⋮ Uniqueness of limit cycles for sewing planar piecewise linear systems




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