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Titlebook: Design of Digital Chaotic Systems Updated by Random Iterations; Qianxue Wang,Simin Yu,Christophe Guyeux Book 2018 The Author(s) 2018 Digit

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https://doi.org/10.1007/978-3-030-27435-1In this chapter, we first recall the basic concept of real domain chaotic systems (RDCS) and integer domain chaotic systems (IDCS). Let . be a positive integer, . denote the set of Boolean numbers with its usual algebraic structure, and . the set of binary vectors of size ..
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An Introduction to Digital Chaotic Systems Updated by Random Iterations,The objective of this first chapter is to introduce the so-called digital chaotic systems updated by random iterations and to present the latest developments in this field of research. Basic notations and terminologies are also provided for the sake of completeness.
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Book 2018nal settings, and establishes a general framework for composing them. The contributors demonstrate that the associated state networks of digital chaotic systems are strongly connected. They then further prove that digital chaotic systems satisfy Devaney’s definition of chaos on the domain of finite
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Michelle A. Harrison,Aurélie Joubertle gate array (FPGA) platform. As each operation of HDDCS is executed in the same fixed precision, no quantization loss occurs. Therefore, it provides a perfect solution to the dynamical degradation of digital chaos.
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