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2015 Quantifying Poincare’s Continuation Method for Nonlinear Oscillators
Daniel Núñez, Andrés Rivera
Abstr. Appl. Anal. 2015: 1-10 (2015). DOI: 10.1155/2015/836312


In the sixties, Loud obtained interesting results of continuation on periodic solutions in driven nonlinear oscillators with small parameter (Loud, 1964). In this paper Loud’s results are extended out for periodically driven Duffing equations with odd symmetry quantifying the continuation parameter for a periodic odd solution which is elliptic and emanates from the equilibrium of the nonperturbed problem.


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Daniel Núñez. Andrés Rivera. "Quantifying Poincare’s Continuation Method for Nonlinear Oscillators." Abstr. Appl. Anal. 2015 1 - 10, 2015.


Published: 2015
First available in Project Euclid: 16 September 2015

zbMATH: 06929088
MathSciNet: MR3391776
Digital Object Identifier: 10.1155/2015/836312

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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