摘要
利用直接微扰的方法求出了双阱中具有弱周期微扰的Duffing振子混沌解的一般表达式。理论分析表明,稳定的周期轨道被嵌在Melnikov混沌吸引子中。运用数值模拟方法得到了在参数空间中相应的混沌区域和混沌轨道。
A general unstable chaotic solution of the Duffing oscillator in a double-well with weak periodic perturbations is obtained by using the direct perturbation method in this paper. A theoretical analysis reveals that the stable periodic orbits are embedded in the Melnikov chaotic attractors. The corresponding chaotic region and orbits in parameter space are described by numerical simulations.
出处
《株洲工学院学报》
2002年第6期15-18,共4页
Journal of Zhuzhou Institute of Technology
