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Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication: A Novel Method of Information Hiding and Recovery With Chaotic Signals

Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication: A Novel Method of Information Hiding and Recovery With Chaotic Signals

Shuru Liu, Zhanlei Shang, Junwei Lei
Copyright: © 2021 |Volume: 15 |Issue: 4 |Pages: 25
ISSN: 1930-1650|EISSN: 1930-1669|EISBN13: 9781799859895|DOI: 10.4018/IJISP.2021100104
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MLA

Liu, Shuru, et al. "Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication: A Novel Method of Information Hiding and Recovery With Chaotic Signals." IJISP vol.15, no.4 2021: pp.54-78. http://doi.org/10.4018/IJISP.2021100104

APA

Liu, S., Shang, Z., & Lei, J. (2021). Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication: A Novel Method of Information Hiding and Recovery With Chaotic Signals. International Journal of Information Security and Privacy (IJISP), 15(4), 54-78. http://doi.org/10.4018/IJISP.2021100104

Chicago

Liu, Shuru, Zhanlei Shang, and Junwei Lei. "Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication: A Novel Method of Information Hiding and Recovery With Chaotic Signals," International Journal of Information Security and Privacy (IJISP) 15, no.4: 54-78. http://doi.org/10.4018/IJISP.2021100104

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Abstract

A definition of finite time synchronization of chaotic system was proposed, and a special theorem was proposed to solve the difficult problem of constructing a finite time stable system. After that, a hybrid construction method was proposed by integrating a common stable system and a finite time stable system. That reveals how to construct a finite time stable system, and it is very useful in secure communication since the convergence time is a very important factor that will affect its application in engineering realization. Above theorem and method was applied in the chaotic synchronization and two kinds of synchronization methods were proposed with estimation of unknown parameters. At last, a secure communication scheme was constructed by using above finite time synchronous method of chaotic systems. Also, numerical simulation was done, and the rightness of all the above proposed theorems and methods was shown.

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