相对论的受驱谐振子混沌:相对论效应和驱动力效应(英文)

Chaos in driven relativistic harmonic oscillator: the relativistic effect and the driving force effect

本文用数值模拟方法研究了相对论效应和驱动力效应对谐振子动力学行为的影响作用,结果表明:相对论效应和驱动力效应的协同作用能使体系的振动频率发生改变,从而使体系产生混沌现象。如果仅存在一种效应,体系就不可能出现混沌,另外,研究还发现体系存在着取决于光速值和驱动力振幅值的混沌区域。在这个混沌区内,光速值和驱动力振幅值的比例约为1:5。

The relativistic effect and driving force effect on the dynamical behaviours of driven harmonic oscillator have been studied in this paper. It is found that, at proper relativistic effect and the external force effect,the oscillation frequency of system would shift from its natural value, consequently, chaos might be exhibited. If only one of two effects is considered, the system does not show the chaos. Furthermore, there exists a region where the system is chaos. In this region, the ratio of light speed and the amplitude of the driving force is about 1 ： 5.