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Periodic Solutions of Abel Differential Equations

M. A. M. Alwash
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Abstract

For a class of polynomial non-autonomous differential equations of degree n, we use phase plane analysis to show that each equation in this class has n periodic solutions. The result implies that certain rigid two-dimensional systems have at most one limit cycle which appears through multiple Hopf bifurcation.

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M. A. M. Alwash. 2006-06-09. Periodic Solutions of Abel Differential Equations. https://arxiv.org/abs/math/0605153

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