利用参数切换寻找Rikitake吸引子
Finding the Rikitake's attractors by parameter switching
摘要：
本文应用文[1]中提出的一类具有双曲平衡点的耗散动力系统的吸引子合成算法，生成Rikitake系统的任意吸引子。通过周期性地或甚至随机地切换给定值集合内的控制参数，在吸引子被数值近似的任何有限时间间隔期间，可以生成任何吸引子。除了扩展的合成算法的系统与非双曲平衡，我们已经发现了Rikitake系统，一个新的有趣的瞬态，发生了很长的时间间隔，是很难被数值发现，由于已知的系统不稳定性沿x3轴。
英文摘要：
In this paper the attractors synthesis algorithm for a class of dissipative dynamical systems with hyperbolic equilibria, presented in [1], is applied to generate any attractor of the Rikitake system. By switching periodically, or even randomly, the control parameter inside a given set of values, during any finite time interval while the attractor is numerically approximated, any attractor can be generated. Beside the extension of the synthesis algorithm to systems with non-hyperbolic equilibria, we have found for the Rikitake system, a new intriguing transient which, occurring for a long time interval, is difficult to be numerically found due to the known system instability along the x3-axis.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
