New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems

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dc.creatorChandrasekar, V. K.
dc.creatorSenthilvelan, M.
dc.creatorLakshmanan, M.
dc.date2004-04-01
dc.date.accessioned2026-07-07T05:35:26Z
dc.date.available2026-07-07T05:35:26Z
dc.descriptionIn this letter we show that the force-free Duffing-van der Pol oscillator is completely integrable for a specific parametric choice. We derive a general solution for this parametric choice. Further, we describe a procedure to construct the transformation which removes the time dependent part from the first integral and provide the general solution by quadrature. The procedure is shown to have a wider applicability through additional examples. We also show that through our method one can deduce linearizing transformations in a simple and straightforward way and illustrate it with a specific example.
dc.description8 pages, 1 figure, J. Phys. A: Math. Gen. 37 (2004) to appear
dc.identifierhttps://arxiv.org/abs/nlin/0404001
dc.identifierhttp://arxiv.org/abs/nlin/0404001
dc.identifierJ. Phys. A: Math. Gen. 37 (2004) 4527-4534
dc.identifierdoi:10.1088/0305-4470/37/16/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80700
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleNew aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems
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