Chaotic Systems With Multistability And Hidden Attractors PDF Download
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| Author | : Xiong Wang |
| Publisher | : Springer Nature |
| Total Pages | : 661 |
| Release | : 2021-12-01 |
| Genre | : Technology & Engineering |
| ISBN | : 3030758214 |
Download Chaotic Systems with Multistability and Hidden Attractors Book 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.
| Author | : Christos Volos |
| Publisher | : MDPI |
| Total Pages | : 290 |
| Release | : 2019-05-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3038978981 |
Download Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors Book in PDF, ePub and Kindle
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.
| Author | : Eric Campos Canton |
| Publisher | : World Scientific |
| Total Pages | : 192 |
| Release | : 2023-06-15 |
| Genre | : Science |
| ISBN | : 9811274134 |
Download Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches Book in PDF, ePub and Kindle
What kind of dynamics is a piecewise linear system able to display? How may they generate heteroclinic chaos? How can the coexistence of attractors be designed and characterized? Is it necessary to have equilibrium points to generate chaotic behavior? Chaos theory and complex systems are interesting and evolving topics whose investigation from a theoretical and practical point of view constantly leads to arising questions. Interesting behaviors can be observed in self-excited attractors, hidden attractors and non-self-excited attractors.This book presents some fundamentals of linear system theory and recent approaches to design the three classes of chaotic attractors in piecewise linear systems. Each chapter presents a brief description and basic concepts to provide an overview of linear systems theory; chaos and multistability in integer linear systems; hidden and non-self-excited attractors; and fractional approaches. They also provide example systems to illustrate the concepts and design methods introduced. Some current topics under investigation are addressed from an integer order perspective to make the connection with the fractional order counterpart.This textbook provides a comprehensive introduction, methodologies, and analysis tools to study chaotic piecewise linear systems and will be suitable for undergraduate or graduate students interested in the field of chaos and complex dynamics.
| Author | : Brian R. Hunt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 528 |
| Release | : 2004-01-08 |
| Genre | : Mathematics |
| ISBN | : 9780387403496 |
Download The Theory of Chaotic Attractors Book in PDF, ePub and Kindle
The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.
| Author | : Alexander N. Pisarchik |
| Publisher | : Springer Nature |
| Total Pages | : 417 |
| Release | : 2022-04-13 |
| Genre | : Science |
| ISBN | : 303098396X |
Download Multistability in Physical and Living Systems Book in PDF, ePub and Kindle
This book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity.
| Author | : Viet-Thanh Pham |
| Publisher | : Springer |
| Total Pages | : 497 |
| Release | : 2018-02-26 |
| Genre | : Technology & Engineering |
| ISBN | : 3319712438 |
Download Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors Book in PDF, ePub and Kindle
This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.
| Author | : Viet-Thanh Pham |
| Publisher | : Springer |
| Total Pages | : 111 |
| Release | : 2017-03-10 |
| Genre | : Technology & Engineering |
| ISBN | : 3319537210 |
Download Systems with Hidden Attractors Book in PDF, ePub and Kindle
This brief provides a general overview of nonlinear systems that exhibit hidden-attractor behavior, a topic of interest in subjects as divers as physics, mechanics, electronics and secure communications. The brief is intended for readers who want to understand the concepts of the hidden attractor and hidden-attractor systems and to implement such systems experimentally using common electronic components. Emergent topics in circuit implementation of systems with hidden attractors are included. The brief serves as an up-to-date reference on an important research topic for undergraduate/graduate students, laboratory researchers and lecturers in various areas of engineering and physics.
| Author | : Tomasz Kapitaniak |
| Publisher | : |
| Total Pages | : 248 |
| Release | : 2015 |
| Genre | : Attractors (Mathematics) |
| ISBN | : |
Download Multistability Book in PDF, ePub and Kindle
| Author | : Sergey P. Kuznetsov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 318 |
| Release | : 2012-03-20 |
| Genre | : Science |
| ISBN | : 3642236669 |
Download Hyperbolic Chaos Book in PDF, ePub and Kindle
"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.
| Author | : Vadim Semenovich Anishchenko |
| Publisher | : World Scientific |
| Total Pages | : 410 |
| Release | : 1995 |
| Genre | : Science |
| ISBN | : 9789810221423 |
Download Dynamical Chaos Book in PDF, ePub and Kindle
In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
