SCIENCE CHINA Information Sciences, Volume 62 , Issue 6 : 069201(2019) https://doi.org/10.1007/s11432-018-9590-x

Bifurcation and chaos in digital filters: identification of periodic solutions

More info
  • ReceivedJun 19, 2018
  • AcceptedAug 29, 2018
  • PublishedApr 24, 2019


There is no abstract available for this article.


This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61374011, 61833005, 61573096), China Postdoctoral Science Foundation (Grant No. 2014M561557), and Postdoctoral Science Foundation of the Jiangsu Province of China (Grant No. 1402040B).


[1] Chua L O, Lin T. Chaos in digital filters. IEEE Trans Circuits Syst, 1988, 35: 648-658 CrossRef Google Scholar

[2] Lin T, Chua L O. On chaos of digital filters in the real world. IEEE Trans Circuits Syst, 1991, 38: 557-558 CrossRef Google Scholar

[3] Xinghuo Yu , Galias Z. Periodic behaviors in a digital filter with two's complement arithmetic. IEEE Trans Circuits Syst I, 2001, 48: 1177-1190 CrossRef Google Scholar

[4] Galias Z, Yu X. Complex discretization behaviors of a simple sliding-mode control system. IEEE Trans Circuits Syst II, 2006, 53: 652-656 CrossRef Google Scholar

[5] Vowden C J, Vowden B J. Chaos in digital filters: identification of all periodic symbolic sequences admissible adjacent to zero. Nonlinearity, 2007, 20: 975-1006 CrossRef ADS Google Scholar

[6] Li X, Yu X, Wang C. Periodic input response of a second-order digital filter with two's complement arithmetic. IEEE Trans Circuits Syst II, 2009, 56: 225-229 CrossRef Google Scholar

[7] Ma L, Wang Z, Lam H K. Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks.. IEEE Trans Cybern, 2017, 47: 3772-3783 CrossRef PubMed Google Scholar

[8] Wen C, Wang Z, Liu Q. Recursive Distributed Filtering for a Class of State-Saturated Systems With Fading Measurements and Quantization Effects. IEEE Trans Syst Man Cybern Syst, 2018, 48: 930-941 CrossRef Google Scholar

Copyright 2020  CHINA SCIENCE PUBLISHING & MEDIA LTD.  中国科技出版传媒股份有限公司  版权所有

京ICP备14028887号-23       京公网安备11010102003388号