Discrete Dynamical Systems and Chaotic Machines - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Dynamical Systems and Chaotic Machines write by Jacques Bahi. This book was released on 2013-06-07. Discrete Dynamical Systems and Chaotic Machines available in PDF, EPUB and Kindle. 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.
Discrete Dynamical Systems and Chaotic Machines
Discrete Dynamical Systems and Chaotic Machines - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Dynamical Systems and Chaotic Machines write by Jacques M. Bahi. This book was released on 2013-06-07. Discrete Dynamical Systems and Chaotic Machines available in PDF, EPUB and Kindle. 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.
Chaos in Discrete Dynamical Systems
Chaos in Discrete Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Chaos in Discrete Dynamical Systems write by Ralph Abraham. This book was released on 2013-06-29. Chaos in Discrete Dynamical Systems available in PDF, EPUB and Kindle. The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.
Discrete Dynamical Systems, Chaos Theory and Fractals
Discrete Dynamical Systems, Chaos Theory and Fractals - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Dynamical Systems, Chaos Theory and Fractals write by Linda Sundbye. This book was released on 2018-10-05. Discrete Dynamical Systems, Chaos Theory and Fractals available in PDF, EPUB and Kindle. An introductory undergraduate level text on chaos theory, nonlinear dynamics and fractal geometry.
An Introduction To Chaotic Dynamical Systems
An Introduction To Chaotic Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction To Chaotic Dynamical Systems write by Robert L. Devaney. This book was released on 2021-11-28. An Introduction To Chaotic Dynamical Systems available in PDF, EPUB and Kindle. There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been truly exciting: systems which once seemed completely intractable from an analytic point of view can now be understood in a geometric or qualitative sense rather easily. Scientists and engineers realize the power and the beauty of the geometric and qualitative techniques. These techniques apply to a number of important nonlinear problems ranging from physics and chemistry to ecology and economics. Computer graphics have allowed us to view the dynamical behavior geometrically. The appearance of incredibly beautiful and intricate objects such as the Mandelbrot set, the Julia set, and other fractals have really piqued interest in the field. This is text is aimed primarily at advanced undergraduate and beginning graduate students. Throughout, the author emphasizes the mathematical aspects of the theory of discrete dynamical systems, not the many and diverse applications of this theory. The field of dynamical systems and especially the study of chaotic systems has been hailed as one of the important breakthroughs in science in the past century and its importance continues to expand. There is no question that the field is becoming more and more important in a variety of scientific disciplines. New to this edition: •Greatly expanded coverage complex dynamics now in Chapter 2 •The third chapter is now devoted to higher dimensional dynamical systems. •Chapters 2 and 3 are independent of one another. •New exercises have been added throughout.
