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Quantifying Poincare’s Continuation Method for Nonlinear Oscillators

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  • Daniel Núñez
  • Andrés Rivera

Abstract

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.

Suggested Citation

  • Daniel Núñez & Andrés Rivera, 2015. "Quantifying Poincare’s Continuation Method for Nonlinear Oscillators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:836312
    DOI: 10.1155/2015/836312
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    References listed on IDEAS

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    1. Gomis-Porqueras, Pere & Haro, Àlex, 2009. "A geometric description of a macroeconomic model with a center manifold," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1217-1235, June.
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