 Factorization technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear systemsAjey K. Tiwari, S.N. Pandey, V.K. Chandrasekar and M. Lakshmanan Applied Mathematics and Computation, 2015, vol. 252, issue C, 457-472 Abstract: In this paper, we discuss a systematic and self consistent procedure to factorize a rather general class of coupled nonlinear ordinary differential equations (ODEs), namely coupled quadratic and mixed Liénard type equations, which include various physical and mathematical models. The procedure is broadly divided into two parts. In the first part, we consider a general factorized form for the equation under consideration in terms of some unknown functions and identify the determining equations for them. In the second part, we systematically solve the determining equations and identify the compatible factorizing form for this class of equations. In addition, we also discuss the problem of identification of isochronous dynamical systems belonging to the above class of equations. In particular, we deduce an isochronicity condition for the coupled quadratic Liénard equation. We also present specific examples of physical interest. Keywords: Factorization method; Liénard type system; Isochronocity (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:457-472 DOI: 10.1016/j.amc.2014.12.049 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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