光滑单峰映射中的鲁棒混沌
Robust chaos in smooth unimodal maps.
作者信息
Andrecut M, Ali M K
机构信息
Department of Physics, University of Lethbridge, 4401 University Drive, AB, Canada T1K 3M4.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 2):025203. doi: 10.1103/PhysRevE.64.025203. Epub 2001 Jul 19.
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space. It has been conjectured that robust chaos cannot occur in smooth systems [E. Barreto, B. Hunt, and C. Grebogi, Phys. Rev. Lett. 78, 4561 (1997); 80, 3049 (1998)]. Contrary to this conjecture, we describe a general procedure for generating robust chaos in smooth unimodal maps.
鲁棒混沌是由参数空间某些邻域内不存在周期窗口和共存吸引子来定义的。有人推测在光滑系统中不会出现鲁棒混沌[E. 巴雷托、B. 亨特和C. 格雷博吉，《物理评论快报》78, 4561 (1997); 80, 3049 (1998)]。与这一推测相反，我们描述了一种在光滑单峰映射中生成鲁棒混沌的通用方法。
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