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

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外文摘要：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 chaos-criteria 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.

外文关键词：

Chaos criteriaSymbolic dynamicsData compressionSimplest 0-1 testSigned compression plotKs metricPoincare sectionLyapunov index

作者：

WU Senlin、LI Yaotian、LI Wenshi、LI Lei

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作者单位：

Department of Microelectronics, Soochow University, Suzhou 215006, China

Laboratory of Modern Acoustics of MOE, Nanjing University, Nanjing 210093, China

Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB T6G 2V4, Canada

基金：

This work is supported by the Natural Science Foundation of Jiangsu Province of ChinaTechnological Innovation of Key Industries in Suzhou City Prospective Application StudyRIGOL University-Enterprise Cooperative Project of Ministry of Education

项目编号：

BK20141196SYG201701201702125008

出版年：

2019

DOI：

10.1049/cje.2018.02.001

中国电子杂志(英文版)

CSTPCDCSCDSCIEI

ISSN：1022-4653

年,卷(期)：2019.28(2)

参考文献量30