Advances and Applications in Chaotic 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 Advances and Applications in Chaotic Systems write by Sundarapandian Vaidyanathan. This book was released on 2016-03-22. Advances and Applications in Chaotic Systems available in PDF, EPUB and Kindle. This book reports on the latest advances and applications of chaotic systems. It consists of 25 contributed chapters by experts who are specialized in the various topics addressed in this book. The chapters cover a broad range of topics of chaotic systems such as chaos, hyperchaos, jerk systems, hyperjerk systems, conservative and dissipative systems, circulant chaotic systems, multi-scroll chaotic systems, finance chaotic system, highly chaotic systems, chaos control, chaos synchronization, circuit realization and applications of chaos theory in secure communications, mobile robot, memristors, cellular neural networks, etc. Special importance was given to chapters offering practical solutions, modeling and novel control methods for the recent research problems in chaos theory. This book will serve as a reference book for graduate students and researchers with a basic knowledge of chaos theory and control systems. The resulting design procedures on the chaotic systems are emphasized using MATLAB software.
Chaotic Systems with Multistability and Hidden Attractors
Chaotic Systems with Multistability and Hidden Attractors - 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 Chaotic Systems with Multistability and Hidden Attractors write by Xiong Wang. This book was released on 2021-12-01. Chaotic Systems with Multistability and Hidden Attractors available in PDF, EPUB and Kindle. This book presents a collection of new articles written by world-leading experts and active researchers to present their recent finding and progress in the new area of chaotic systems and dynamics, regarding emerging subjects of unconventional chaotic systems and their complex dynamics.It guide readers directly to the research front of the new scientific studies. This book is unique of its kind in the current literature, presenting broad scientific research topics including multistability and hidden attractors in unconventional chaotic systems, such as chaotic systems without equilibria, with only stable equilibria, with a curve or a surface of equilibria. The book describes many novel phenomena observed from chaotic systems, such as non-Shilnikov type chaos, coexistence of different types of attractors, and spontaneous symmetry breaking in chaotic systems. The book presents state-of-the-art scientific research progress in the field with both theoretical advances and potential applications. This book is suitable for all researchers and professionals in the areas of nonlinear dynamics and complex systems, including research professionals, physicists, applied mathematicians, computer scientists and, in particular, graduate students in related fields.
Differential Equations, Dynamical Systems, and an Introduction to Chaos
Differential Equations, Dynamical Systems, and an Introduction to Chaos - 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 Differential Equations, Dynamical Systems, and an Introduction to Chaos write by Morris W. Hirsch. This book was released on 2004. Differential Equations, Dynamical Systems, and an Introduction to Chaos available in PDF, EPUB and Kindle. Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Practical Numerical Algorithms for Chaotic Systems
Practical Numerical Algorithms for Chaotic 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 Practical Numerical Algorithms for Chaotic Systems write by Thomas S. Parker. This book was released on 2012-12-06. Practical Numerical Algorithms for Chaotic Systems available in PDF, EPUB and Kindle. One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.
Thermodynamics of Chaotic Systems
Thermodynamics of Chaotic 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 Thermodynamics of Chaotic Systems write by Christian Beck. This book was released on 1993-07. Thermodynamics of Chaotic Systems available in PDF, EPUB and Kindle. This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. The most important invariants used to characterize chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical mechanics. Among the subjects treated are probabilistic aspects of chaotic dynamics, the symbolic dynamics technique, information measures, the maximum entropy principle, general thermodynamic relations, spin systems, fractals and multifractals, expansion rate and information loss, the topological pressure, transfer operator methods, repellers and escape. The more advanced chapters deal with the thermodynamic formalism for expanding maps, thermodynamic analysis of chaotic systems with several intensive parameters, and phase transitions in nonlinear dynamics.
