Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors
Normal forms of continuous piecewise linear Vector fields and chaotic attractors Part II: chaotic attractors
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连续分段线性向量场和混沌吸引子的正规形式第二部分：混沌吸引子
DOI：
10.1007/bf03167913
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
M. Komuro
中科院分区：
文献类型：
--
作者：
M. Komuro
本文给出了仿射共轭下分段线性向量场（pl -系统）的正规形式和pl -系统中的原型混沌吸引子。在第一部分中，我们导出了pl系统的一般形式和线性系统的正规形式，其中一节在第二部分中起重要作用。第二部分给出了2域pl系统的范式和原型吸引子（螺旋、双涡旋、双螺旋、环面、Sparrow、Lorenz和Duffing吸引子）。第二部分还证明了固有系统的仿射共轭类是由每个区域的特征值唯一决定的。
This paper represents Part II of a 2-part paper which provides the normal forms of piecewise linear vector fields (abbr. PL-systems) under affine conjugacy and the prototype chaotic attractors in the PL-systems. We derive in Part I the general forms of PL-systems and the normal forms of linear systems with a section which play an important role in Part II. The normal forms of 2-region PL-systems and the prototype attractors (Spiral, Double Scroll, Double Screw, Toroidal, Sparrow, Lorenz and Duffing attractors) are provided in Part II. It is also proved in Part II that the affine conjugate classes of proper systems are uniquely determined by the eigen values in each region.