• 제목/요약/키워드: Silnikov type homoclinic orbit

검색결과 2건 처리시간 0.016초

원판의 진행파응답을 위한 대역분기해석 (Global Bifurcation for the Responses in the Traveling Wave Form of a Circular Plate)

  • 여명환;이원경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.287-296
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    • 2003
  • We investigate global bifurcation in the motion of an harmonically excited circular plate with one-to-one internal resonance. A perturbation method developed by Kovacic and Wiggins is used. Silnikov type homoclinic orbit has been pursued but it has turned out not to exist.

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원판의 비대칭진동의 대역분기해석 (Global Bifurcations in the Asymmetric Vibrations of a Circular Plate)

  • 여명환;이원경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.504-514
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    • 2003
  • We investigate global bifurcation in the subharmonic motion of a circular plate with one-to-one internal resonance. A system of autonomous equations are obtained from the partial differential equations governing the system by using Galerkin's procedure and the method of multiple scales. A perturbation method developed by Kovacic and Wiggins is used to find Silnikov type homoclinic orbits. The conditions under which the orbits occur are obtained.

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