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

2018 | OriginalPaper | Chapter

3. Chaotic Bitwise Dynamical Systems (CBDS)

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

In this chapter, we first recall the basic concept of real domain chaotic systems (RDCS) and integer domain chaotic systems (IDCS). Let \(N \in \{1,2,\ldots \}\) be a positive integer, \(\mathbb {B} = \{0,1\}\) denote the set of Boolean numbers with its usual algebraic structure, and \(\mathbb {B}^N\) the set of binary vectors of size N.

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previous chapter Integer Domain Chaotic Systems (IDCS)
next chapter One-Dimensional Digital Chaotic Systems (ODDCS)
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), 1450128-1 (2014). p. Art. no. 1450128MathSciNetMATH
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. IEEE Trans. Circuits Syst. I 63(3), 401–412 (2016)MathSciNetCrossRef
4.
R. Couturier, C. Guyeux, Designing Scientific Applications on GPUs (CRC Press, Boca Raton, 2013)
5.
B. Sunar, W. Martin, D. Stinson, A provably secure true random number generator with built-in tolerance to active attacks. IEEE Trans. Comput. 56(1), 109–119 (2007)MathSciNetCrossRef
Metadata
Title
Chaotic Bitwise Dynamical Systems (CBDS)
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_3