Discrete Dynamical Systems And Chaotic Machines
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Discrete Dynamical Systems And Chaotic Machines
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Author : Jacques M. Bahi
language : en
Publisher: CRC Press
Release Date : 2013-06-07
Discrete Dynamical Systems And Chaotic Machines written by Jacques M. Bahi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-07 with Computers categories.
For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famous but unsuitable maps that offer no explanation of why chaos is relevant in the considered contexts. Discrete Dynamical Systems and Chaotic Machines: Theory and Applications shows how to make finite machines, such as computers, neural networks, and wireless sensor networks, work chaotically as defined in a rigorous mathematical framework. Taking into account that these machines must interact in the real world, the authors share their research results on the behaviors of discrete dynamical systems and their use in computer science. Covering both theoretical and practical aspects, the book presents: Key mathematical and physical ideas in chaos theory Computer science fundamentals, clearly establishing that chaos properties can be satisfied by finite state machines Concrete applications of chaotic machines in computer security, including pseudorandom number generators, hash functions, digital watermarking, and steganography Concrete applications of chaotic machines in wireless sensor networks, including secure data aggregation and video surveillance Until the authors’ recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book illustrates how chaos theory enables the study of computer security problems, such as steganalysis, that otherwise could not be tackled. It also explains how the theory reinforces existing cryptographically secure tools and schemes.
Discrete Dynamical Systems And Chaotic Machines
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Author : Jacques Bahi
language : en
Publisher: CRC Press
Release Date : 2013-06-07
Discrete Dynamical Systems And Chaotic Machines written by Jacques Bahi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-07 with Computers categories.
Until the authors' recent research, the practical implementation of the mathematical theory of chaos on finite machines raised several issues. This self-contained book shows how to make finite machines, such as computers, neural networks, and wireless sensor networks, work chaotically as defined in a rigorous mathematical framework. Taking into account that these machines must interact in the real world, the authors share their research results on the behaviors of discrete dynamical systems and their use in computer science.
Design Of Digital Chaotic Systems Updated By Random Iterations
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Author : Qianxue Wang
language : en
Publisher: Springer
Release Date : 2018-02-23
Design Of Digital Chaotic Systems Updated By Random Iterations written by Qianxue Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-23 with Technology & Engineering categories.
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.
Differential Dynamical Systems Revised Edition
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Author : James D. Meiss
language : en
Publisher: SIAM
Release Date : 2017-01-24
Differential Dynamical Systems Revised Edition written by James D. Meiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-24 with Mathematics categories.
Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems.
Differential And Difference Equations With Applications
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Author : Sandra Pinelas
language : en
Publisher: Springer Nature
Release Date : 2020-10-21
Differential And Difference Equations With Applications written by Sandra Pinelas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-21 with Mathematics categories.
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.
Symmetry In Graph Theory
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Author : Jose M. Rodriguez
language : en
Publisher: MDPI
Release Date : 2019-03-14
Symmetry In Graph Theory written by Jose M. Rodriguez and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Mathematics categories.
This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of “Graph Theory”. Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.
Chaos Dynamics And Fractals
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Author : Joseph L. McCauley
language : en
Publisher: Cambridge University Press
Release Date : 1994-05-26
Chaos Dynamics And Fractals written by Joseph L. McCauley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-26 with Science categories.
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
Handbook Of Machinery Dynamics
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Author : Lynn Faulkner
language : en
Publisher: CRC Press
Release Date : 2000-12-14
Handbook Of Machinery Dynamics written by Lynn Faulkner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-14 with Technology & Engineering categories.
Considering a broad range of fundamental factors and conditions influencing the optimal design and operation of machinery, the Handbook of Machinery Dynamics emphasizes the force and motion analysis of machine components in multiple applications. Containing details on basic theories and particular problems, the Handbook of Machinery Dynamics
Advances In Neural Computation Machine Learning And Cognitive Research Vii
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Author : Boris Kryzhanovsky
language : en
Publisher: Springer Nature
Release Date : 2023-10-11
Advances In Neural Computation Machine Learning And Cognitive Research Vii written by Boris Kryzhanovsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-11 with Technology & Engineering categories.
This book describes new theories and applications of artificial neural networks, with a special focus on answering questions in neuroscience, biology and biophysics and cognitive research. It covers a wide range of methods and technologies, including deep neural networks, large-scale neural models, brain–computer interface, signal processing methods, as well as models of perception, studies on emotion recognition, self-organization and many more. The book includes both selected and invited papers presented at the XXV International Conference on Neuroinformatics, held on October 23-27, 2023, in Moscow, Russia.
Reversible Computation
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Author : Shigeru Yamashita
language : en
Publisher: Springer
Release Date : 2014-07-05
Reversible Computation written by Shigeru Yamashita and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-05 with Computers categories.
This book constitutes the refereed proceedings of the 6th International Conference on Reversible Computation, RC 2014, held in Kyoto, Japan, in July 2014. The 14 contributions presented together with three invited talks were carefully reviewed and selected from 27 submissions. The papers are organized in topical sections on automata for reversible computation; notation and languages for reversible computation; synthesis and optimization for reversible circuits; validation and representation of quantum logic.