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An Introduction to Digital Chaotic Systems Updated by Random Iterations Read chapter Read first chapter

2018 | OriginalPaper | Chapter

2. Integer Domain Chaotic Systems (IDCS)

Authors : Qianxue Wang, Simin Yu, Christophe Guyeux

Published in: Design of Digital Chaotic Systems Updated by Random Iterations

Publisher: Springer International Publishing

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Abstract

The approach followed to build integer domain chaotic systems (IDCS) is presented in this chapter, and its mathematical chaos behavior demonstrated using the Devaney’s definition. Then, an analog-digital hybrid circuit is designed, to realize in practice a first basic IDCS. In this circuit design, the strategy generation is achieved thanks to a sample-hold circuit and a decoder circuit, so as to convert the uniform noise signal into a random sequence, which plays a key role in the circuit implementation. The proposed systematic methodology is further validated by experimental observations.

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previous chapter An Introduction to Digital Chaotic Systems Updated by Random Iterations
next chapter Chaotic Bitwise Dynamical Systems (CBDS)
Literature
1.
Q. Wang, S. Yu, C. Guyeux, J. Bahi, X. Fang, Theoretical design and circuit implementation of integer domain chaotic systems. Int. J. Bifurc. Chaos 24(10) (2014). p. Art. no. 1450128
2.
Q. Wang, S. Yu, C. Guyeux, J. Bahi, X. Fang, Study on a new chaotic bitwise dynamical system and its FPGA implementation. Chin. Phys. B 24(6) (2015). Art no. 60503
3.
Q. Wang, S. Yu, C. Li, J. Lü, X. Fang, C. Guyeux, J. Bahi, Theoretical design and FPGA-based implementation of higher-dimensional digital chaotic systems. IEEE Trans. Circuits Syst. I 63(3), 401–412 (2016)
4.
J. Bahi, C. Guyeux, Q.X. Wang, A pseudo random numbers generator based on chaotic iterations. Application to watermarking, in IEEE International Conference on Web Information Systems and Mining, Sanya, China, October 2010, LNCS (2010), vol. 6318, pp. 202–211
Metadata
Title
Integer Domain Chaotic Systems (IDCS)
Authors
Qianxue Wang
Simin Yu
Christophe Guyeux
Copyright Year
2018
Book
Design of Digital Chaotic Systems Updated by Random Iterations

Print ISBN: 978-3-319-73548-1

Electronic ISBN: 978-3-319-73549-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-73549-8_2