応用数理
Online ISSN : 2432-1982
化学反応系の非線形ダイナミクス : 結合振動系を中心に
吉川 研一川上 博
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ジャーナル フリー

1994 年 4 巻 3 号 p. 238-258

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Multi-stability and bifurcations in 2 or 3 coupled nonlinear oscillators are described based on the coupled equations of van der Pol and Rayleigh types. For the 2-coupled oscillators, relative stability between in-phase and anti-phase modes is discussed in relation to the connection parameters between the oscillators. It is shown that the effect of frustration among the oscillators becomes important when the number of the oscillators becomes more than three. Relative stability between the different modes based on these theoretical consideration is discussed in comparison with the actual experimental results with salt-water oscillator and oscillatory chemical reaction.
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© 1994 一般社団法人 日本応用数理学会
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