Note on the Stability of the Nonlinear Mathieu Equation : Condensed Matter and Statistical Physics

スポンサーリンク

概要

• 論文の詳細を見る

• In order to explain a beating-like phenomenon observed in an experiment by Kono, nonlinear effects on a parametrically excitable oscillation is theoretically and numerically investigated in the case of the nonlinear Mathieu equation and the nonlinear Melde's string vibration. It is shown that when the resonance condition is fulfilled or nearly fulfilled, depending on the initial conditions, the solution is in one of two distinctive states, one of which, the pseudo-unstable state, may presumably be ascribed to the observed state. A multiple scales expansion method is utilized to derive a reduced nonlinear equation governing the complex amplitude from fundamental equations. This method has proved to be profitable both in theoretical and numerical investigations.

• 理論物理学刊行会の論文
• 1997-10-25

著者

• Kidachi Hideyuki

  Division Of Practical School Education Osaka Kyoiku University

• Onogi Hiroshi

  Division Of Science Education Osaka Kyoiku University

• KIDACHI Hideyuki

  Division of Practical School Education,Osaka Kyoiku University

• ONOGI Hiroshi

  Division of Science Education,Osaka Kyoiku University

関連論文

• Eigenvalue Problem of Metastability in Macrosystem
• Stochastic Decay Process of Metastable State
• Note on the Stability of the Nonlinear Mathieu Equation : Condensed Matter and Statistical Physics
• On a Chaos as a Mode Interacting Phase
• Side Wall Effect on the Pattern Formation of the Reyleigh-Benard Convection
• On the Propagation of Nonlinear Waves through a Medium Endowed with a Periodic Structure : Condensed Matter and Statistical Physics
• On a Model Approach to Forecasting of Chaotic Time Series. II
• Vibrational Properties of a Two Dimensional Cross-Linked Fractal Chain
• On Mode Interactions in Reaction Diffusion Equation with Nearly Degenerate Bifurcations
• Nonlinear Two-Wave Interaction in a Medium Endowed with a Quasi-Periodic Structure
• Note on a Simple Model of the Columnar Phase of Disc-Like Molecular Liquid Crystals
• On a Model Approach to Forecasting of Chaotic Time Series

もっと見る 閉じる

スポンサーリンク