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arXiv · 2103.01092

A new amplitude-frequency formula for non-conservative oscillators

Andrés García
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Abstract

This paper formalize the existence's proof of first-integrals for any second order ODE, allowing to discriminate periodic orbits. Up to the author's knowledge, such a powerful result is not available in the literature providing a tool to determine periodic orbits/limit cycles in the most general scenario.

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Andrés García. 2021-03-01. A new amplitude-frequency formula for non-conservative oscillators. https://arxiv.org/abs/2103.01092

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