Letellier Christophe, Werny Pierre, Malasoma Jean-Marc, Gilmore Robert
CORIA UMR 6614, Université de Rouen, Avenue de l'Université, Boîte Postale 12, F-76801 Saint-Etienne du Rouvray Cedex, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2A):036220. doi: 10.1103/PhysRevE.66.036220. Epub 2002 Sep 27.
Type-I intermittencies are common phenomena that are often observed in the neighborhood of periodic windows when a control parameter is varied. These intermittencies usually have a single reinjection channel, that is, a single type of laminar phase was observed. Recently, type-I intermittencies with two reinjection channels were reported in several systems. In this paper, it will be shown that type-I intermittencies with n channels of reinjection are associated with the coexistence of n stable periodic orbits that are mapped into each other under a symmetry. A procedure to build type-I intermittency with n reinjection channels using the n-fold cover of an image system is presented. Cases up to n=3 are explicitly given with the covers of the centered Rössler system.
I 型间歇性是常见现象，当控制参数变化时，常在周期窗口附近观察到。这些间歇性通常有一个单一的再注入通道，即观察到单一类型的层流相。最近，在几个系统中报道了具有两个再注入通道的 I 型间歇性。本文将表明，具有 n 个再注入通道的 I 型间歇性与 n 个稳定周期轨道的共存相关，这些周期轨道在对称性下相互映射。提出了一种使用图像系统的 n 重覆盖来构建具有 n 个再注入通道的 I 型间歇性的方法。通过中心 Rössler 系统的覆盖明确给出了 n = 3 及以下的情况。
