Limit cycles of a class of planar polynomial differential systems
Copyright policy )Limit cycles of a class of planar polynomial differential systems
In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory of first and second order, we estimate the maximum number of limit cycles that this class of systems can exhibit.
- University of Skikda Algeria
- University of Mentouri Algeria
Averaging method for ordinary differential equations, Bifurcation theory for ordinary differential equations, Perturbations, asymptotics of solutions to ordinary differential equations, limit cycles, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, averaging theory, Kukles systems
Averaging method for ordinary differential equations, Bifurcation theory for ordinary differential equations, Perturbations, asymptotics of solutions to ordinary differential equations, limit cycles, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, averaging theory, Kukles systems
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