A limit-cycle solver for nonautonomous dynamical systems

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dc.creatorCampos, Rafael G.
dc.creatorArciniega, Gilberto O.
dc.date2003-06-10
dc.date.accessioned2026-07-07T06:29:56Z
dc.date.available2026-07-07T06:29:56Z
dc.descriptionA numerical technique used to solve boundary value problems is modified to find periodic steady-state solutions of nonautonomous dynamical systems. The technique uses a matrix representation of the time derivative obtained through trigonometric interpolation of a periodic function. Such a differentiation matrix yields exact values for the derivative of a trigonometric polynomial and therefore, can be used as the main ingredient of a numerical method to solve nonlinear dynamical systems. We apply this technique to obtain some limit cycles and bifurcation points of a sinusoidally driven pendulum and the steady-state response of an electric circuit.
dc.descriptionLatex file, 9 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0306161
dc.identifierhttp://arxiv.org/abs/math/0306161
dc.identifierRev. Mex. Fis. 52 (3) 267--271 Junio 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98216
dc.subjectDynamical Systems
dc.subject65D25, 37M99, 37N05
dc.titleA limit-cycle solver for nonautonomous dynamical systems
dc.typetext

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