Design of Digital Chaotic Systems Updated by Random Iterations

Nonfiction, Science & Nature, Technology, Electronics, Circuits, Engineering, Mechanical
Cover of the book Design of Digital Chaotic Systems Updated by Random Iterations by Qianxue Wang, Simin Yu, Christophe Guyeux, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Qianxue Wang, Simin Yu, Christophe Guyeux ISBN: 9783319735498
Publisher: Springer International Publishing Publication: February 23, 2018
Imprint: Springer Language: English
Author: Qianxue Wang, Simin Yu, Christophe Guyeux
ISBN: 9783319735498
Publisher: Springer International Publishing
Publication: February 23, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Teaching Gender and Sex in Contemporary America by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Intelligent Computing Systems by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Analysis and Design of Networks-on-Chip Under High Process Variation by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Lévy Matters V by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Design for Manufacturability with Advanced Lithography by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Energy Balance and Prostate Cancer by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Quantum Microscopy of Biological Systems by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book An Introduction to Structural Mechanics for Architects by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Niklas Luhmann by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Holomorphic Curves and Global Questions in Contact Geometry by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Organizing for the Digital World by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Handbook of Cardiac Anatomy, Physiology, and Devices by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Viability and Sustainability of Small-Scale Fisheries in Latin America and The Caribbean by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Professional Identities in Initial Teacher Education by Qianxue Wang, Simin Yu, Christophe Guyeux
Cover of the book Personal Injury and Damage Ascertainment under Civil Law by Qianxue Wang, Simin Yu, Christophe Guyeux
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy