若干二维映象中V型阵发层流相区的特征

通过几个实例的分析,说明二维映象中V型阵发的层流相所占据的相空间区域常常具有一维特征.这些一维相空间区域对应于已经由边界碰撞分岔消失的周期点的“鬼魂”留下的一段稳定流形.它们构成类似于一维映象中阵发发生后层流相迭代通过的“隧道”.隧道的开口有明确的位置.V型阵发的湍流相所对应相空间区域具有二维特征.解析讨论了这些特征的形成机制. 关键词： V型阵发 层流相 流形

CHARACTERISTICS OF THE LAMINAR REGIONS DISPLAYED BY TYPE-V INTERMITTENCIES IN SOME TWO-DIMENSIONAL MAPS

Through an analysis on several examples we show that the phase space regions occupied by the laminar phases displayed by type-V intermittencies in two-dimensional maps often possess one-dimensional characteristics. These one-dimensional regions correspond to parts of the stable manifolds belonging to the “ghosts” of the periodic orbits that have already vanished via border-collision bifurcations. They form channels with an apparent exit similar to that the laminar iterations go through when intermittencies happen in one-dimensional maps. At the same time the phase space regions occupied by turbulent phases possess two-dimensional features.The mechanisms of all these characteristics are also discussed.