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A new method to directly observe the state of a single-variable nonlinear system with oscilloscope

Chen Hong Wu Ling Gu Shu-Bin Yang Kai

A new method to directly observe the state of a single-variable nonlinear system with oscilloscope

Chen Hong, Wu Ling, Gu Shu-Bin, Yang Kai
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  • Abstract views:  598
  • PDF Downloads:  649
  • Cited By: 0
Publishing process
  • Received Date:  15 April 2013
  • Accepted Date:  14 May 2013
  • Published Online:  05 September 2013

A new method to directly observe the state of a single-variable nonlinear system with oscilloscope

  • 1. Electronic Engineer College, Heilongjiang University, Harbin 150080, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 61072072), the Natural Science Foundation of Heilongjiang Province, China (Grant No. F201249), and the Scientific Research Foundation of the Education Department of Heilongjiang Province, China (Grant No. 12521402).

Abstract: In order to solve the problem why it was hard to observe the single-variable nonlinear system, this article proposed the 45 line method. In this method, the continuous signal changing with time was transformed into dots on the 45 line of the rectangular coordinates, so that it could be directly displayed on a general dual-trace oscilloscope (either analog or digital). In this way, it is convenient to directly observe and analyze various states of single-variable system while the system is running, such as the periodical stable states, the local and global non-stable states. The mechanism of this method was expounded in this paper. In addition, the key issues in physical circuit design and implementation of this method were researched and solved, i.e., the useful signal which reflected the state of the system could be extracted from the continuously changing signal. Since the Chuas circuit is a typical nonlinear system, and it could produce abundant states with variation of parameters, so it was chosen as the system under test to conduct a great number of physical experiments. The experimental results confirmed the effectiveness and practicability of this method.

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