WU Senlin, LI Yaotian, LI Wenshi, LI Lei. Chaos Criteria Design Based on Modified Sign Functions with One or Three-Threshold[J]. Chinese Journal of Electronics, 2019, 28(2): 364-369. doi: 10.1049/cje.2018.02.001
Citation: WU Senlin, LI Yaotian, LI Wenshi, LI Lei. Chaos Criteria Design Based on Modified Sign Functions with One or Three-Threshold[J]. Chinese Journal of Electronics, 2019, 28(2): 364-369. doi: 10.1049/cje.2018.02.001

Chaos Criteria Design Based on Modified Sign Functions with One or Three-Threshold

doi: 10.1049/cje.2018.02.001
Funds:  This work is supported by the Natural Science Foundation of Jiangsu Province of China (No.BK20141196), Technological Innovation of Key Industries in Suzhou City Prospective Application Study (No.SYG201701), and RIGOL University-Enterprise Cooperative Project of Ministry of Education (No.201702125008).
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  • Corresponding author: LI Wenshi (corresponding author) was born in Harbin, Heilongjiang Province, China, in 1963. He received the B.S. degree in 1987 in physics from Harbin Normal University, and received the M.S. degree in electronics at Nanjing University in 1990. In 2009, he completed his microelectronics Ph.D. degree at Southeast University. He was a visiting scholar/researcher at Fudan University in 2001; at Tohoku University, Japan in 2007; and at Nanjing University in 2009. Prof. LI has worked at the Department of Microelectronics at Soochow University since 2001; He is working at the subnano scale with new synaptic circuit, to try and understand how brain circuitry works. (Email:lwshi@suda.edu.cn)
  • Received Date: 2017-10-22
  • Rev Recd Date: 2017-12-06
  • Publish Date: 2019-03-10
  • The complexity measures of chaotic or periodic signals are perpetual topics of interest to data scientists. This work adheres to the framework of the traditional 0-1 test for chaos and replaces sine and cosine functions by modified sign functions. The compressive mapping rules chosen are one-threshold of three-value or three-threshold of five-value. In new criteria for chaos in forms of the 3s plot and Ks metric compared with 0-1 test results, the periodic state of data features a short beeline instead of a big ring in the pq plot and signs the nearest zero mark, while the chaotic state signs a simple curve instead of a random-walking shape in the pq plot, and shows the nearest one mark. By computing the Lorenz equation evolution under the contrast tests of the Poincare section and Lyapunov index, we visualize a new chaoscriteria design in symbolic dynamics and data compression principles, and our work may lay the foundation for further expressing the chaotic appearance of novel signals deep into future brainets.
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