A Liouville’s Formula for Systems with Reflection

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چکیده

In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems ODEs (ordinary differential equations) with reflection. We also present a conjecture general and application to coupled harmonic oscillators.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9080866