Bifurcation behavior of the generalized Lorenz equations at large rotation numbers
Bifurcation behavior of the generalized Lorenz equations at large rotation numbers
复制标题
DOI：
10.1063/1.531938
复制
发表时间：
1997-10
影响因子：
1.3
通讯作者：
Cang-tao Zhou;C. Lai;M. Yu
中科院分区：
文献类型：
--
作者：
Cang-tao Zhou;C. Lai;M. Yu
给出了Lorenz-Stenflo方程在大旋转数下的分支结构和周期轨道。结果表明，旋转可以导致一个更丰富的动力学行为比原来的Lorenz系统，并可以用来控制或修改后者的混沌行为。观察到不同周期窗口的合并和分裂所产生的新的拓扑结构的轨道。指出了一维映射中的突变，并根据内外边界的相互作用进行了研究。
The bifurcation structure and periodic orbits of the Lorenz–Stenflo equations at large rotation numbers are given. It is shown that rotation can lead to a much richer dynamical behavior than that of the original Lorenz system and can be used to control or modify the latter’s chaos behavior. Orbits with new topology arising from the merging and splitting of different periodic windows are observed. Abrupt changes in the one-dimensional map are pointed out and studied in terms of the interaction of the interior and exterior boundaries.