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首页> 外文期刊>PASJ: Publications of the Astronomical Society of Japan >Chaotic oscillation of a one-zone model for coupled convection and pulsation
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Chaotic oscillation of a one-zone model for coupled convection and pulsation

机译：对流和脉动耦合的一区模型的混沌振动

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摘要

A system of nonlinear equations of Stellingwerf's one-zone model coupled pulsation and convection has been studied concerning the dependence on the depth of the convective zone. It has been shown that the system has one fixed point for the case of a shallow convective zone, and two for the case of rather deep convection, except at the origin. The numerical solutions for the cases of two fixed points show some chaotic oscillations, such as period doubling, period 6, period 3, and so on. The solutions of long-period and large oscillation width were also obtained. It is suggested that these results are helpful for interpretating the observational data of semi-regular and Mira variables. Further theoretical problems are also discussed.
机译：研究了Stellingwerf的单区域模型的非线性方程组，该模型耦合了对流和对流，取决于对流层深度。已经表明，对于浅对流区，该系统具有一个固定点，对于较深对流，该系统具有两个固定点，但不包括原点。对于两个固定点的情况，数值解显示出一些混沌振荡，如周期加倍，周期6，周期3等。还获得了长周期和大振荡宽度的解。建议这些结果有助于解释半正则和Mira变量的观测数据。还讨论了进一步的理论问题。

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