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Volume 26, Issue 2, March 2019, Pages 169 - 187
Liouvillian integrability of a general Rayleigh-Duffing oscillator
Authors
Jaume Giné
Departament de Matemàtica, Inspires Research Centre, Universitat de Lleida Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain,gine@matematica.udl.cat
Claudia Valls
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal,cvalls@math.ist.utl.pt
Received 4 May 2018, Accepted 15 October 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1591710How to use a DOI?
- Keywords
- Liouvillian integrability; Rayleigh-Duffing oscillator; first integrals
- Abstract
We give a complete description of the Darboux and Liouville integrability of a general Rayleigh-Duffing oscillator through the characterization of its polynomial first integrals, Darboux polynomials and exponential factors.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Jaume Giné AU - Claudia Valls PY - 2021 DA - 2021/01/06 TI - Liouvillian integrability of a general Rayleigh-Duffing oscillator JO - Journal of Nonlinear Mathematical Physics SP - 169 EP - 187 VL - 26 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1591710 DO - 10.1080/14029251.2019.1591710 ID - Giné2021 ER -