Center-Focus Problem for Discontinuous Planar Differential Equations

DOI10.1142/S0218127403007618zbMath1077.34031MaRDI QIDQ4653862

Joan Torregrosa, Armengol Gasull

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cycleLyapunov constantcenter problemnonsmooth systemdiscontinuous ordinary differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• The successive derivatives of the period function of a plane vector field
• Higher order bifurcations of limit cycles
• The first derivative of the period function of a plane vector field
• A relation between small amplitude and big limit cycles.
• On Second Order Bifurcations of Limit Cycles
• THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION
• Degenerate Hopf bifurcations in discontinuous planar systems
• Unnamed Item

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