三束储存与电子同步运动的动力学稳定性

近年来,多束存储的动力学稳定性问题一直是人们关注的一个重要问题.本文考虑了频率扰动和运动阻尼的影响,引入高阶相移因子把粒子同步运动方程化为广义Duffing方程.用摄动法导出了系统的近似解,并分析了系统在?/??1/2,1/3共振线附近的运动行为.揭示了系统跳跃现象和临界特征,讨论了系统的数学稳定性和物理稳定性.结果表明,系统稳定性与它的参数有关,只需适当调节这些参数就可以保证系统是稳定的.

Three-beam storage and dynamical stability of electron synchronized motion in storage rin~s

In recent years, the dynamic stability for multi-beam stored is always one of main problems of attention. In the paper frequency perturbations and motion damping are considered, the introducing high-order phase-shift factor, the equation of synchronous motion for the electron is reduced to generalized Duffing equation. An approximate solution of the system are derived by using perturbation method; the particle motion behavior is analyzed in the vicinity resonance. The jumping phenomenon and critical characteristics in the system are revealed; the mathematical stability and physical stability of the system are discussed. The results show that the stability is related to the parameters of the system, adjustmenting these parameters appropriately, the stability of the system can be ensured.