非分段线性自治系统。2复杂分岔结构

Yu Zhiping, Zhao Jing
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引用次数: 1

摘要

在相关论文中(同上,第612-15页,1995年8月),我们提出了在非分段线性自治系统(NPLAS)中揭示的新型时间波形,并提出了一种用于分析复杂波形的数字符号表示。本文引入了单位波形和同素异形体波形的定义,对系统的分岔结构进行了表征,并进一步研究了系统的复周期波形。此外,我们通过集合的并集和Farey和证明了分岔正则性。
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The non-piecewise-linear autonomous system. II. The complex bifurcation structure
In the companion paper (see ibid., p. 612-15, Aug. 1995), we have presented novel time waveforms revealed in the non-piecewise-linear autonomous system (NPLAS) and have advanced a numerical symbol representation to analyze the complex waveforms. In this paper, we introduce definitions of the unit waveforms and the allotropic waveforms and characterize the bifurcation structure, of the system with further study of the complex periodic waveforms. In addition, we demonstrate the bifurcation regularity through the union of the sets and the Farey sum.
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