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Limit cycles of a class of planar polynomial differential systems

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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… Click to show full abstract

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.

Keywords: class; class planar; planar polynomial; polynomial differential; limit cycles; differential systems

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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