Ehrenfest time depends differently on the Planck constant in integrable motion and chaotic motion. We study how its dependence on the Planck constant changes when there is a continuous transition from regular motion to chaotic motion. We find that the dependence is a weighted compromise between its two distinct dependences in regular and chaotic motions. The study is carried out with the system of periodically driven anharmonic oscillator. As the system is quite typical, the result may apply generally.

中文翻译：

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从可积运动到混沌运动的 Ehrenfest 时间

Ehrenfest 时间取决于可积运动和混沌运动中的普朗克常数。我们研究当从规则运动到混沌运动的连续过渡时，它对普朗克常数的依赖性如何变化。我们发现这种依赖是它在规则和混沌运动中两种不同依赖之间的加权折衷。该研究是利用周期性驱动的非谐波振荡器系统进行的。由于该系统非常典型，因此结果可能普遍适用。