國立高雄大學圖資館 |

Language: English

Back

Design of digital chaotic systems up...

Guyeux, Christophe.

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 iterationsby 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 systemsMathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-73549-8
ISBN:	9783319735498$q(electronic bk.)

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$q(electronic bk.)

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

774061
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
LDR:02480nmm a2200313 a 4500 001 531852
003 DE-He213
005 20180223145437.0
006 m d
007 cr nn 008maaau
008 181113s2018 gw s 0 eng d
020 $a 9783319735498$q(electronic bk.)
020 $a 9783319735481$q(paper)
024 7 $a 10.1007/978-3-319-73549-8 $2 doi
035 $a 978-3-319-73549-8
040 $a GP $c GP
041 0 $a eng
050 4 $a Q172.5.C45
072 7 $a TJFC $2 bicssc
072 7 $a TEC008010 $2 bisacsh
082 0 4 $a 003.857 $2 23
090 $a Q172.5.C45 $b W246 2018
100 1 $a Wang, Qianxue. $3 806532
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.
650 0 $a Chaotic behavior in systems $x Mathematics. $3 774061
650 0 $a Iterative methods (Mathematics) $3 185853
650 1 4 $a Engineering. $3 210888
650 2 4 $a Circuits and Systems. $3 274416
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
650 2 4 $a Systems Theory, Control. $3 274654
700 1 $a Yu, Simin. $3 806533
700 1 $a Guyeux, Christophe. $3 806534
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in applied sciences and technology. $3 557662
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-73549-8
950 $a Engineering (Springer-11647)