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Darboux integrability of a Mathieu-van der...
Journal article

Darboux integrability of a Mathieu-van der Pol-Duffing oscillator

Abstract

In this paper, we characterize all the Darboux polynomials of a Mathieu-van der Pol-Duffing oscillator by transforming from the original system into a three dimensional system. We also provide a complete classification of the rational first integrals and of the Darboux first integrals through the analysis of its Darboux polynomials and its exponential factors.

Authors

Cen Z; Xie F

Journal

Nonlinear Analysis Real World Applications, Vol. 70, ,

Publisher

Elsevier

Publication Date

April 1, 2023

DOI

10.1016/j.nonrwa.2022.103785

ISSN

1468-1218

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