Andrés García
Published 2021-03-01Version 1
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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Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms
Lagrange's discrete model of the wave equation in dimension greater than one
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