摘要
本文用准能量法代替Chirikov的“单摆近似法”,讨论周期驱动非线性系统的共振宽度,结果表明本文方法对共振宽度计算精度有所提高。另外,文中还提出了计算岛宽的一个理论公式,经过与大量数值实验比较,证实该公式基本正确。
In this paper, Chirikov's nonlinear resonance theory is replaced by the so-called quasienergy method to estimate resonance width in a periodically driven nonlinear system . The results show that the computation accuracy is increased to some extend by using the method presented in this paper, on the other hand,a theoretical formula for estimating the island width is also given. After a great deal of work on numerical simulation being done , the results show that the formula is essentially correct.
出处
《甘肃工业大学学报》
1991年第4期89-95,共7页
Journal of Gansu University of Technology
关键词
非线性
振动
混沌场
临界
共振
non-linear vibration, critical, quasi-energy, chaos field, KAM tori
