Chaotic Synchronization Applications To Living Systems

Author : Yuri L Maistrenko
Publisher : World Scientific
ISBN 13 : 9814489751
Total Pages : 441 pages
Book Rating : 4.51/5 ( download)

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Download or read book Chaotic Synchronization: Applications To Living Systems written by Yuri L Maistrenko and published by World Scientific. This book was released on 2002-03-07 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.

Author : Sundarapandian Vaidyanathan
Publisher : Springer
ISBN 13 : 3319302795
Total Pages : 599 pages
Book Rating : 4.99/5 ( download)

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Download or read book Advances and Applications in Chaotic Systems written by Sundarapandian Vaidyanathan and published by Springer. This book was released on 2016-03-22 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Nikolai Verichev
Publisher : Springer Nature
ISBN 13 : 3030361039
Total Pages : 197 pages
Book Rating : 4.37/5 ( download)

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Download or read book Chaos, Synchronization and Structures in Dynamics of Systems with Cylindrical Phase Space written by Nikolai Verichev and published by Springer Nature. This book was released on 2020-01-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops analytical methods for studying the dynamical chaos, synchronization, and dynamics of structures in various models of coupled rotators. Rotators and their systems are defined in a cylindrical phase space, and, unlike oscillators, which are defined in Rn, they have a wider “range” of motion: There are vibrational and rotational types for cyclic variables, as well as their combinations (rotational-vibrational) if the number of cyclic variables is more than one. The specificity of rotator phase space poses serious challenges in terms of selecting methods for studying the dynamics of related systems. The book chiefly focuses on developing a modified form of the method of averaging, which can be used to study the dynamics of rotators. In general, the book uses the “language” of the qualitative theory of differential equations, point mappings, and the theory of bifurcations, which helps authors to obtain new results on dynamical chaos in systems with few degrees of freedom. In addition, a special section is devoted to the study and classification of dynamic structures that can occur in systems with a large number of interconnected objects, i.e. in lattices of rotators and/or oscillators. Given its scope and format, the book can be used both in lectures and courses on nonlinear dynamics, and in specialized courses on the development and operation of relevant systems that can be represented by a large number of various practical systems: interconnected grids of various mechanical systems, various types of networks including not only mechanical but also biological systems, etc.

Author : Branislav Jovic
Publisher : Springer Science & Business Media
ISBN 13 : 3642218490
Total Pages : 354 pages
Book Rating : 4.91/5 ( download)

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Download or read book Synchronization Techniques for Chaotic Communication Systems written by Branislav Jovic and published by Springer Science & Business Media. This book was released on 2011-08-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 1990s, when synchronization of chaotic communication systems became a popular research subject, a vast number of scientific papers have been published. However, most of today’s books on chaotic communication systems deal exclusively with the systems where perfect synchronization is assumed, an assumption which separates theoretical from practical, real world, systems. This book is the first of its kind dealing exclusively with the synchronization techniques for chaotic communication systems. It describes a number of novel robust synchronization techniques, which there is a lack of, for single and multi-user chaotic communication systems published and highly cited in world’s leading journals in the area. In particular, it presents a solution to the problem of robust chaotic synchronization by presenting the first fully synchronized, highly secure, chaos based DS-CDMA system. The book fills a gap in the existing literature where a number of books exist that deal with chaos and chaotic communications but not with synchronization of chaotic communication systems. It also acts as a bridge between communication system theory and chaotic synchronization by carefully explaining the two concepts and demonstrating how they link into chaotic communication systems. The book also presents a detailed literature review on the topic of synchronization of chaotic communication systems. Furthermore, it presents the literature review on the general topic of chaotic synchronization and how those ideas led to the application of chaotic signals to secure chaotic communication systems. It therefore, in addition to presenting the state of the art systems, also presents a detailed history of chaotic communication systems. In summary, the book stands out in the field of synchronization techniques for chaotic communication systems.

Author : Christos H. Skiadas
Publisher : CRC Press
ISBN 13 : 1466590440
Total Pages : 934 pages
Book Rating : 4.41/5 ( download)

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Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Author : Guillermo Huerta Cuéllar
Publisher : Springer Nature
ISBN 13 : 3031024729
Total Pages : 267 pages
Book Rating : 4.26/5 ( download)

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Download or read book Complex Systems and Their Applications written by Guillermo Huerta Cuéllar and published by Springer Nature. This book was released on 2022-06-10 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of Complex Systems and their Applications (EDIESCA 2021). EDIESCA 2021 arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior has been of great interest to researchers around the world, for which many important results have been obtained with various applications. The dynamic study of chaotic oscillators of different models, such as Rössler, Lorenz, and Chua, has generated important advances in understanding of chemical reactions, meteorological behavior, design of electronic devices, and other applications. Topics at the event included applications for communications systems by masking techniques, financial behavior, networks analysis, nonlinear lasers, numerical modeling, electronic design, and other interesting topics in the area of complex systems. Additionally, there are results on numerical simulation and electronic designs to generate complex dynamic behaviors.

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 1461450977
Total Pages : 245 pages
Book Rating : 4.79/5 ( download)

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Download or read book Dynamical System Synchronization written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.

Author : Charles W. Wang
Publisher : Nova Publishers
ISBN 13 : 9781600215209
Total Pages : 470 pages
Book Rating : 4.03/5 ( download)

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Download or read book Nonlinear Phenomena Research Perspectives written by Charles W. Wang and published by Nova Publishers. This book was released on 2007 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.

Author : Dongbin Lee
Publisher : BoD – Books on Demand
ISBN 13 : 9535127144
Total Pages : 366 pages
Book Rating : 4.47/5 ( download)

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Download or read book Nonlinear Systems written by Dongbin Lee and published by BoD – Books on Demand. This book was released on 2016-10-19 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists mainly of two parts: Chapter 1 - Chapter 7 and Chapter 8 - Chapter 14. Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach. Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.

Author : Valentin Flunkert
Publisher : Springer Science & Business Media
ISBN 13 : 3642202500
Total Pages : 181 pages
Book Rating : 4.06/5 ( download)

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Download or read book Delay-Coupled Complex Systems written by Valentin Flunkert and published by Springer Science & Business Media. This book was released on 2011-06-25 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks that has a wide range of interdisciplinary applications.