Control Of Oscillations And Chaos

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Introduction To Control Of Oscillations And Chaos

Author : Alexander L Fradkov
Publisher : World Scientific
ISBN 13 : 9814497665
Total Pages : 407 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction To Control Of Oscillations And Chaos by : Alexander L Fradkov

Download or read book Introduction To Control Of Oscillations And Chaos written by Alexander L Fradkov and published by World Scientific. This book was released on 1998-10-20 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the exciting field of control of oscillatory and chaotic systems, which has numerous potential applications in mechanics, laser and chemical technologies, communications, biology and medicine, economics, ecology, etc.A novelty of the book is its systematic application of modern nonlinear and adaptive control theory to the new class of problems. The proposed control design methods are based on the concepts of Lyapunov functions, Poincare maps, speed-gradient and gradient algorithms. The conditions which ensure such control goals as an excitation or suppression of oscillations, synchronization and transformation from chaotic mode to the periodic one or vice versa, are established. The performance and robustness of control systems under disturbances and uncertainties are evaluated.The described methods and algorithms are illustrated by a number of examples, including classical models of oscillatory and chaotic systems: coupled pendula, brusselator, Lorenz, Van der Pol, Duffing, Henon and Chua systems. Practical examples from different fields of science and technology such as communications, growth of thin films, synchronization of chaotic generators based on tunnel diods, stabilization of swings in power systems, increasing predictability of business-cycles are also presented.The book includes many results on nonlinear and adaptive control published previously in Russian and therefore were not known to the West.Researchers, teachers and graduate students in the fields of electrical and mechanical engineering, physics, chemistry, biology, economics will find this book most useful. Applied mathematicians and control engineers from various fields of technology dealing with complex oscillatory systems will also benefit from it.

Chaos in Nonlinear Oscillators

Author : Muthusamy Lakshmanan
Publisher : World Scientific
ISBN 13 : 9789810221430
Total Pages : 346 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Chaos in Nonlinear Oscillators by : Muthusamy Lakshmanan

Download or read book Chaos in Nonlinear Oscillators written by Muthusamy Lakshmanan and published by World Scientific. This book was released on 1996 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Cybernetical Physics

Author : A. Fradkov
Publisher : Springer
ISBN 13 : 3540462775
Total Pages : 248 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Cybernetical Physics by : A. Fradkov

Download or read book Cybernetical Physics written by A. Fradkov and published by Springer. This book was released on 2007-06-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cybernetical physics borrows methods from both theoretical physics and control engineering. It deals with the control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behavior or similar features that defy traditional control techniques. This book fully details this new discipline.

Bifurcation And Chaos In Simple Dynamical Systems

Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 9814520055
Total Pages : 138 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Bifurcation And Chaos In Simple Dynamical Systems by : Jan Awrejcewicz

Download or read book Bifurcation And Chaos In Simple Dynamical Systems written by Jan Awrejcewicz and published by World Scientific. This book was released on 1989-10-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author. Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytical approaches allows for a deeper insight into non-linear dynamical phenomena. The numerical and analytical techniques presented do not require specific mathematical knowledge.

Self-Organized Biological Dynamics and Nonlinear Control

Author : Jan Walleczek
Publisher : Cambridge University Press
ISBN 13 : 1139427598
Total Pages : 444 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Self-Organized Biological Dynamics and Nonlinear Control by : Jan Walleczek

Download or read book Self-Organized Biological Dynamics and Nonlinear Control written by Jan Walleczek and published by Cambridge University Press. This book was released on 2006-04-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.

Space-time Chaos: Characterization, Control And Synchronization

Author : Stefano Boccaletti
Publisher : World Scientific
ISBN 13 : 9814491845
Total Pages : 323 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Space-time Chaos: Characterization, Control And Synchronization by : Stefano Boccaletti

Download or read book Space-time Chaos: Characterization, Control And Synchronization written by Stefano Boccaletti and published by World Scientific. This book was released on 2001-03-09 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view. It describes applications of these processes in applied mathematics, signal analysis, nonlinear optics, fluid dynamics, chemical reactions, electronic circuits, etc.

Chaos In Circuits And Systems

Author : Guanrong Chen
Publisher : World Scientific
ISBN 13 : 9814488704
Total Pages : 656 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaos In Circuits And Systems by : Guanrong Chen

Download or read book Chaos In Circuits And Systems written by Guanrong Chen and published by World Scientific. This book was released on 2002-06-03 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts present current achievements in the forefront of research in the challenging field of chaos in circuits and systems, with emphasis on engineering perspectives, methodologies, circuitry design techniques, and potential applications of chaos and bifurcation. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this field. It is suitable for readers ranging from graduate students, university professors, laboratory researchers and industrial practitioners to applied mathematicians and physicists in electrical, electronic, mechanical, physical, chemical and biomedical engineering and science.

Chaos in Classical and Quantum Mechanics

Author : Martin C. Gutzwiller
Publisher : Springer Science & Business Media
ISBN 13 : 1461209838
Total Pages : 445 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Chaos in Classical and Quantum Mechanics by : Martin C. Gutzwiller

Download or read book Chaos in Classical and Quantum Mechanics written by Martin C. Gutzwiller and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Chaos in Chemistry and Biochemistry

Author : Richard J. Field
Publisher : World Scientific
ISBN 13 : 9789810210243
Total Pages : 318 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis Chaos in Chemistry and Biochemistry by : Richard J. Field

Download or read book Chaos in Chemistry and Biochemistry written by Richard J. Field and published by World Scientific. This book was released on 1993 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.

Advances in Dynamics, Instrumentation and Control

Author : Chunyi Su
Publisher : World Scientific
ISBN 13 : 9812702288
Total Pages : 515 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Advances in Dynamics, Instrumentation and Control by : Chunyi Su

Download or read book Advances in Dynamics, Instrumentation and Control written by Chunyi Su and published by World Scientific. This book was released on 2004 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a compilation of 50 articles representing the scientific and technical advances in various aspects of system dynamics, instrumentation, measurement techniques, and control. It serves as an important resource in the field. The topics include state-of-the-art contributions in the fields of dynamics and control of nonlinear, hybrid, stochastic, time-delayed and piecewise affine systems; nonlinear control theory; control of chaotic systems; adaptive, model predictive and real-time controls, with applications involving vehicular systems, fault diagnostics, and flexible and cellular manufacturing systems, vibration suppression, biomedical, mobile robots, etc.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings)OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)OCo CC Proceedings OCo Engineering & Physical Sciences"

Nonlinear Oscillations

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617590
Total Pages : 720 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonlinear Oscillations by : Ali H. Nayfeh

Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.

Stability, Instability and Chaos

Author : Paul Glendinning
Publisher : Cambridge University Press
ISBN 13 : 9780521425667
Total Pages : 408 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis Stability, Instability and Chaos by : Paul Glendinning

Download or read book Stability, Instability and Chaos written by Paul Glendinning and published by Cambridge University Press. This book was released on 1994-11-25 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.

Chaos and Complexity in Nonlinear Electronic Circuits

Author : Maciej J. Ogorza?ek
Publisher : World Scientific
ISBN 13 : 9789810228736
Total Pages : 320 pages
Book Rating : 4.2/5 (287 download)

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Book Synopsis Chaos and Complexity in Nonlinear Electronic Circuits by : Maciej J. Ogorza?ek

Download or read book Chaos and Complexity in Nonlinear Electronic Circuits written by Maciej J. Ogorza?ek and published by World Scientific. This book was released on 1997 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer's perspective on chaos and complex behavior. It starts from basic mathematical notions which enable understanding of the observed phenomena, and guides the reader through the methodology and tools used in the laboratory and numerical experiments to interpretation and explanation of basic mechanisms. On typical circuit examples, it shows how the theoretical and empirical developments can be used in practice. Attention is drawn to applications of chaotic circuits as noise generators and the possible use of synchronized chaotic systems in information transmission and encryption. Chaos control is considered as a new, emerging area where electronic equipment and chaos theory could turn vital in biomedical and engineering issues.

Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

Author : Eckehard Schöll
Publisher : Cambridge University Press
ISBN 13 : 0521451868
Total Pages : 422 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors by : Eckehard Schöll

Download or read book Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors written by Eckehard Schöll and published by Cambridge University Press. This book was released on 2001-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.

Nonlinear Oscillations and Waves in Dynamical Systems

Author : P.S Landa
Publisher : Springer Science & Business Media
ISBN 13 : 9401587639
Total Pages : 550 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Nonlinear Oscillations and Waves in Dynamical Systems by : P.S Landa

Download or read book Nonlinear Oscillations and Waves in Dynamical Systems written by P.S Landa and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.

Chaos in Biological Systems

Author : Hans Degn
Publisher : Springer Science & Business Media
ISBN 13 : 1475796315
Total Pages : 319 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos in Biological Systems by : Hans Degn

Download or read book Chaos in Biological Systems written by Hans Degn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.