【摘要】 讨论了Rikitake双盘发电机模型。结果表明该模型所描述的非线性系统的定态是不稳定的,通过对系统初值的敏感性、分维和功率谱的计算,可以判断系统失稳后呈现出混沌运动的状态。并指出可以用它们来模拟地磁场的反转。更多还原

【Abstract】 This essay focuses on the Rikitake twodisk dynamo.The result indicates the instability of the static states in the nonlinear system. Calculating fractal dimension,power spectrum and the system’s sensitivity to initial value arrives at a conclusion that the evolution pattern is chaotic if the system is unstable,and the chaotic behavior can be used to simulate the reversals of the geomagnetic field.更多还原