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arXiv · 2504.00268

The Krylov-Bogoliuvob-Mitropolsky averaging method for polynomial dynamical systems

Frank Ernesto Alvarez·Mariano Rodriguez Ricard
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Abstract

We describe the transformation of a polynomial planar dynamical system into a second order differential equation by means of a polynomial change of variables. We then, by means of the Krylov-Bogoliubov-Mitropolsky averaging method, identify sufficient conditions involving said change of variables so that a limit cycle exists.

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Frank Ernesto Alvarez, Mariano Rodriguez Ricard. 2025-03-31. The Krylov-Bogoliuvob-Mitropolsky averaging method for polynomial dynamical systems. https://arxiv.org/abs/2504.00268

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