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Liouvillian integrability of a general Rayleigh-Duffing oscillator |
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| Authors: | Jaume Giné Claudia Valls |
| Affiliation: | 1. Departament de Matemàtica, Inspires Research Centre, Universitat de Lleida, Avda. Jaume II, 69;2. 25001 Lleida, Catalonia, Spain;3. Departamento de Matemàtica, Instituto Superior Técnico Av. Rovisco Pais 1049-001, Lisboa, Portugal cvalls@math.ist.utl.pt |
| 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. |
| Keywords: | Liouvillian integrability Rayleigh-Duffing oscillator first integrals |