Title :
The non-piecewise-linear autonomous system. II. The complex bifurcation structure
Author :
Zhiping, Yu ; Jing, Zhao
Author_Institution :
Radio Lab., China Univ. of Geosci., Beijing, China
Abstract :
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
Keywords :
bifurcation; nonlinear systems; power transistors; set theory; transistor circuits; allotropic waveforms; complex bifurcation structure; complex waveforms; nonpiecewise-linear autonomous system; numerical symbol representation; periodic waveforms; power transistor circuit; Bifurcation; Geology; Laboratories; Periodic structures; Time measurement;
Conference_Titel :
Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
0-7803-2972-4
DOI :
10.1109/MWSCAS.1995.504514