Abstract and Applied Analysis

Quantifying Poincare’s Continuation Method for Nonlinear Oscillators

Daniel Núñez and Andrés Rivera

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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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Abstr. Appl. Anal., Volume 2015 (2015), Article ID 836312, 10 pages.

First available in Project Euclid: 16 September 2015

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Núñez, Daniel; Rivera, Andrés. Quantifying Poincare’s Continuation Method for Nonlinear Oscillators. Abstr. Appl. Anal. 2015 (2015), Article ID 836312, 10 pages. doi:10.1155/2015/836312. https://projecteuclid.org/euclid.aaa/1442420442

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