Non-smooth quadratic centers defined in two arbitrary sectors

DOI10.1016/j.amc.2016.05.017zbMath1410.34093OpenAlexW2408300239MaRDI QIDQ1733620

Isaac A. García

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/58379

zbMATH Keywords

periodic orbitsPoincaré mapcenter problemnon-smooth dynamics

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• Degenerate Hopf bifurcations in a family of FF-type switching systems
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• Isochronicity of centers in a switching Bautin system
• On persistent centers
• Non-smooth dynamical systems
• Piecewise-smooth dynamical systems. Theory and applications
• Local and global phase portrait of equation \(\dot z=f(z)\)
• The Center and Cyclicity Problems
• Center-Focus Problem for Discontinuous Planar Differential Equations
• Degenerate Hopf bifurcations in discontinuous planar systems

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