A new amplitude-frequency formula for non-conservative oscillators

Andr\'es Garc\'ia

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A new amplitude-frequency formula for non-conservative oscillators

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arxiv 2103.01092 v1 pith:LT33OOVJ submitted 2021-03-01 math.DS

A new amplitude-frequency formula for non-conservative oscillators

Andr\'es Garc\'ia This is my paper

classification math.DS

keywords orbitsperiodicallowingamplitude-frequencyauthoravailablecyclesdetermine

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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.

A new amplitude-frequency formula for non-conservative oscillators

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