A Bifurcation Phenomenon for the Periodic Solutions of the Duffing Equation without Damping Terms

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概要

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• We investigate a bifurcation phenomenon for the periodic solutions of the Duffing equation without damping terms:d2u/dt2(t) + κ u(t) + αu3(t) = fλ(t),  t ∈ R          (1.1) where κ and α are positive constants and fλ(t) (λ > 0) is a given family of T-periodic external force parameterized by λ. We show an existence of not only T and exact 2T-periodic solutions but also exact mT-periodic solutions (m ≥ 3) bifurcated from a specific T-periodic solution.

• 東北大学の論文

著者

• Takenouchi Yoshifumi

  Department Of Mathematics Graduate School Of Science Osaka University

関連論文

• A Bifurcation Phenomenon for the Periodic Solutions of the Duffing Equation without Damping Terms

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