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Design of digital chaotic systems up...

Wang, Qianxue.

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Design of digital chaotic systems updated by random iterations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Design of digital chaotic systems updated by random iterations/ by Qianxue Wang, Simin Yu, Christophe Guyeux.
Author:	Wang, Qianxue.
other author:	Yu, Simin.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 110 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Chaotic behavior in systems - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-73549-8
ISBN:	9783319735498

Design of digital chaotic systems updated by random iterations
Wang, Qianxue.

Design of digital chaotic systems updated by random iterations[electronic resource] /by Qianxue Wang, Simin Yu, Christophe Guyeux. - Cham :Springer International Publishing :2018. - xiii, 110 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

This brief studies the general problem of constructing digital chaotic systems in devices with finite precision from low-dimensional to high-dimensional 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 precision. The book presents Lyapunov exponents, as well as implementations to show the potential application of digital chaotic systems in the real world; the authors also discuss the basic advantages and practical benefits of this approach. The authors explore the solutions to dynamic degradation (including short cycle length, decayed distribution and low linear complexity) by proposing novel modelling methods and hardware designs for two different one-dimensional chaotic systems, which satisfy Devaney's definition of chaos. They then extend it to a higher-dimensional digital-domain chaotic system, which has been used in image-encryption technology. This ensures readers do not encounter large differences between actual and theoretical chaotic orbits through small errors. Digital Chaotic Systems serves as an up-to-date reference on an important research topic for researchers and students in control science and engineering, computing, mathematics and other related fields of study.

ISBN: 9783319735498

Standard No.: 10.1007/978-3-319-73549-8doiSubjects--Topical Terms:

726187
Chaotic behavior in systems
--Mathematics.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

Design of digital chaotic systems updated by random iterations
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100 1 $a Wang, Qianxue. $3 3301978
245 1 0 $a Design of digital chaotic systems updated by random iterations $h [electronic resource] / $c by Qianxue Wang, Simin Yu, Christophe Guyeux.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 110 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology, $x 2191-530X
520 $a This brief studies the general problem of constructing digital chaotic systems in devices with finite precision from low-dimensional to high-dimensional 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 precision. The book presents Lyapunov exponents, as well as implementations to show the potential application of digital chaotic systems in the real world; the authors also discuss the basic advantages and practical benefits of this approach. The authors explore the solutions to dynamic degradation (including short cycle length, decayed distribution and low linear complexity) by proposing novel modelling methods and hardware designs for two different one-dimensional chaotic systems, which satisfy Devaney's definition of chaos. They then extend it to a higher-dimensional digital-domain chaotic system, which has been used in image-encryption technology. This ensures readers do not encounter large differences between actual and theoretical chaotic orbits through small errors. Digital Chaotic Systems serves as an up-to-date reference on an important research topic for researchers and students in control science and engineering, computing, mathematics and other related fields of study.
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650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 2 4 $a Systems Theory, Control. $3 893834
700 1 $a Yu, Simin. $3 1273707
700 1 $a Guyeux, Christophe. $3 3301979
710 2 $a SpringerLink (Online service) $3 836513
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