• Title/Summary/Keyword: VAXIMA Cubic and Quintic Nonlinear Terms

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Analysis of a Nonlinear Conservative Dynamical System Using VAXIMA (VAXIMA를 이용한 비선형 보존 동역학계의 해석)

  • 이원경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.755-760
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    • 1990
  • VAXIMA is a computer software which gives us results in terms of parameters. We use VAXIMA to analyze quantitatively a conservative dynamical system with cubic and quintic nonlinear terms. The system is described by a nonlinear second-order autonomous ordinary differential equation. Using the Lindstedt-Poincare method, we obtain period-amplitude characteristics. In order to check the validity of the approximate solution, we integrate numerically the equation of motion.