A Prelude Staircase to a Type V Intermittency in Two—Dimensional Discontinuous Maps
A Prelude Staircase to a Type V Intermittency in Two-Dimensional Discontinuous Maps作者机构：SchoolofPhysicsandElectricInformationNingxiaUniversityYinchuan750021China ComplexScienceCenteryangzhouUniversityYangzhou225002China
出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)
年 卷 期：2003年第39卷第6期
页 面：657-662页
核心收录：
学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）]
主 题：two-dimensional map type V intermittency prelude staircase
摘 要：A sequence of periodic attractors has been observed in a two-dimensional discontinuous map, which canbe considered as a model of impact oscillator. The so-called transfer number , which is defined as the mean numberof transfer from non-impact state to impact state per iteration, is locked onto a lot of rational values to form a curveconsisting of many steps. Our numerical investigation confirms that every step is confined by conditions created by thecollision between the periodic orbit and the discontinuous boundary of the system. After the last collision the systemshows a chaotic motion with intermittent characteristics. Therefore the staircase can be addressed as a prelude staircaseto type V intermittency . The similar phenomenon has also been observed in a model of electric circuit. These resultsof our study suggest that this kind of staircases is common in two (or even higher) dimensional discontinuous maps.
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