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1 Bolotin, Yurii Chaos: Concepts, Control and Constructive Use I10077 2017 eBook  
2 Lehnert, Judith Controlling Synchronization Patterns in Complex Networks I09860 2016 eBook  
3 Alwan, Mohamad S Theory of Hybrid Systems: Deterministic and Stochastic I09149 2018 eBook  
4 Walters, R.B Hydraulic and Electric-Hydraulic Control Systems I10982 2000 eBook  
5 Mugur-Sch??chter, Mioara Quantum Mechanics, Mathematics, Cognition and Action I10912 2002 eBook  
6 Goles, E Complex Systems I10541 2001 eBook  
7 Lakshmanan, Muthusamy Dynamics of Nonlinear Time-Delay Systems I08527 2011 eBook  
8 Kuznetsov, Sergey P Hyperbolic Chaos I08476 2012 eBook  
9 Fradkov, A Cybernetical Physics I08444 2007 eBook  
10 Grabe, Michael Generalized Gaussian Error Calculus I08257 2010 eBook  
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TitleChaos: Concepts, Control and Constructive Use
Author(s)Bolotin, Yurii;Tur, Anatoli;Yanovsky, Vladimir
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXI, 281 p. 119 illus : online resource
Abstract NoteThis book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010
ISBN,Price9783319424965
Keyword(s)1. COMPLEX SYSTEMS 2. COMPLEXITY 3. COMPUTATIONAL COMPLEXITY 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Methods in Physics 9. PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. SYSTEM THEORY 13. Systems Theory, Control 14. VIBRATION 15. Vibration, Dynamical Systems, Control
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TitleControlling Synchronization Patterns in Complex Networks
Author(s)Lehnert, Judith
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXV, 203 p : online resource
Abstract NoteThis research aims to achieve a fundamental understanding of synchronization and its interplay with the topology of complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, medicine and engineering. Most prominently, synchronization takes place in the brain, where it is associated with several cognitive capacities but is - in abundance - a characteristic of neurological diseases. Besides zero-lag synchrony, group and cluster states are considered, enabling a description and study of complex synchronization patterns within the presented theory. Adaptive control methods are developed, which allow the control of synchronization in scenarios where parameters drift or are unknown. These methods are, therefore, of particular interest for experimental setups or technological applications. The theoretical framework is demonstrated on generic models, coupled chemical oscillators and several detailed examples of neural networks
ISBN,Price9783319251158
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Models of Cognitive Processes and Neural Networks 7. Neural networks (Computer science)?? 8. PHYSICAL CHEMISTRY 9. PHYSICS 10. SYSTEM THEORY 11. Systems Theory, Control 12. VIBRATION 13. Vibration, Dynamical Systems, Control
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TitleTheory of Hybrid Systems: Deterministic and Stochastic
Author(s)Alwan, Mohamad S;Liu, Xinzhi
PublicationSingapore, 1. Imprint: Springer 2. Springer Singapore, 2018.
DescriptionXVI, 241 p. 38 illus., 37 illus. in color : online resource
Abstract NoteThis book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin???Lyapunov methods to investigate the systems??? properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems
ISBN,Price9789811080463
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Control and Systems Theory 3. Control engineering 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY 12. Systems Theory, Control
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TitleHydraulic and Electric-Hydraulic Control Systems
Author(s)Walters, R.B
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2000.
DescriptionXIII, 331 p. 26 illus : online resource
Abstract NoteForce and motion control systems of varying degrees of sophistication have shaped the lives of all individuals living in industrialized countries all over the world, and together with communication technology are largely responsible for the high standard ofliving prevalent in many communities. The brains of the vast majority of current control systems are electronic, in the shape of computers, microprocessors or programmable logic controllers (PLC), the nerves are provided by sensors, mainly electromech?? anical transducers, and the muscle comprises the drive system, in most cases either electric, pneumatic or hydraulic. The factors governing the choice of the most suitable drive are the nature of the application, the performance specification, size, weight, environ?? mental and safety constraints, with higher power levels favouring hydraulic drives. Past experience, especially in the machine tool sector, has clearly shown that, in the face of competition from electric drives, it is difficult to make a convincing case for hydraulic drives at the bottom end of the power range, specifically at fractional horsepower level. A further, and frequently overriding factor in the choice of drive is the familiarity of the system designer with a particular discipline, which can inhibit the selection of the optimum and most cost-effective solution for a given application. One of the objectives of this book is to help the electrical engineer overcome his natural reluctance to apply any other than electric drives
ISBN,Price9789401594271
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. MECHANICAL ENGINEERING 5. MECHANICS 6. SYSTEM THEORY 7. Systems Theory, Control
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TitleQuantum Mechanics, Mathematics, Cognition and Action : Proposals for a Formalized Epistemology
Author(s)Mugur-Sch??chter, Mioara;van der Merwe, Alwyn
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2002.
DescriptionXVIII, 494 p : online resource
ISBN,Price9780306481444
Keyword(s)1. ARTIFICIAL INTELLIGENCE 2. COMPUTERS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL LOGIC 8. Mathematical Logic and Foundations 9. QUANTUM FIELD THEORY 10. QUANTUM PHYSICS 11. SYSTEM THEORY 12. Systems Theory, Control 13. Theory of Computation
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TitleComplex Systems
Author(s)Goles, E;Mart??nez, Servet
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2001.
DescriptionVIII, 301 p : online resource
Abstract NoteThis volume contains the courses given at the Sixth Summer School on Complex Systems held at Facultad de Ciencias Fisicas y Maternaticas, Universidad de Chile at Santiago, Chile, from 14th to 18th December 1998. This school was addressed to graduate students and researchers working on areas related with recent trends in Complex Systems, including dynamical systems, cellular automata, complexity and cutoff in Markov chains. Each contribution is devoted to one of these subjects. In some cases they are structured as surveys, presenting at the same time an original point of view and showing mostly new results. The paper of Pierre Arnoux investigates the relation between low complex systems and chaotic systems, showing that they can be put into relation by some re?? normalization operations. The case of quasi-crystals is fully studied, in particular the Sturmian quasi-crystals. The paper of Franco Bagnoli and Raul Rechtman establishes relations be?? tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization problem. The paper of Jacques Demongeot and colleagues gives a presentation of at?? tractors of dynamical systems appearing in biological situations. For instance, the relation between positive or negative loops and regulation systems
ISBN,Price9789401009201
Keyword(s)1. COMPLEX SYSTEMS 2. Computer science???Mathematics 3. COMPUTERS 4. Discrete Mathematics in Computer Science 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Modeling and Industrial Mathematics 9. MATHEMATICAL MODELS 10. STATISTICAL PHYSICS 11. Statistics, general 12. Statistics?? 13. SYSTEM THEORY 14. Systems Theory, Control 15. Theory of Computation
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TitleDynamics of Nonlinear Time-Delay Systems
Author(s)Lakshmanan, Muthusamy;Senthilkumar, Dharmapuri Vijayan
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2011.
DescriptionXVII, 313 p : online resource
Abstract NoteSynchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications
ISBN,Price9783642149382
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. Applications of Nonlinear Dynamics and Chaos Theory 3. APPLIED MATHEMATICS 4. CIRCUITS AND SYSTEMS 5. DYNAMICAL SYSTEMS 6. DYNAMICS 7. EBOOK 8. EBOOK - SPRINGER 9. ELECTRONIC CIRCUITS 10. ENGINEERING MATHEMATICS 11. Mathematical and Computational Engineering 12. PHYSICS 13. STATISTICAL PHYSICS 14. SYSTEM THEORY 15. Systems Theory, Control 16. VIBRATION 17. Vibration, Dynamical Systems, Control
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TitleHyperbolic Chaos : A Physicist???s View
Author(s)Kuznetsov, Sergey P
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2012.
DescriptionXVI, 320 p. 80 illus : online resource
Abstract Note"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. ??
ISBN,Price9783642236662
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. STATISTICAL PHYSICS 7. SYSTEM THEORY 8. Systems Theory, Control 9. VIBRATION 10. Vibration, Dynamical Systems, Control
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TitleCybernetical Physics : From Control of Chaos to Quantum Control
Author(s)Fradkov, A
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2007.
DescriptionXII, 236 p : online resource
Abstract NoteThe control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behaviour or similar features that defy traditional control techniques. This specific subject is gradually becoming known as cybernetical physics, borrowing methods from both theoretical physics and control engineering. This book is, perhaps, the first attempt to present a unified exposition of the subject and methodology of cybernetical physics as well as solutions to some of its problems. Emphasis of the book is on the examination of fundamental limits on energy transformation by means of control procedures in both conservative and dissipative systems. A survey of application in physics includes the control of chaos, synchronisation of coupled oscillators, pendulum chains, reactions in physical chemistry and of quantum systems such as the dissociation of diatomic molecules. This book has been written having researchers from various backgrounds in physics, mathematics and engineering in mind and is thus also suitable as introduction to graduate students working on the understanding of a broad range of complex systems in the natural sciences
ISBN,Price9783540462774
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. Elementary particles (Physics) 7. Elementary Particles, Quantum Field Theory 8. QUANTUM FIELD THEORY 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY 12. Systems Theory, Control 13. VIBRATION 14. Vibration, Dynamical Systems, Control
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TitleGeneralized Gaussian Error Calculus
Author(s)Grabe, Michael
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2010.
DescriptionXIII, 301 p : online resource
Abstract NoteFor the first time in 200 years Generalized Gaussian Error Calculus addresses??a rigorous, complete and self-consistent revision of the Gaussian error calculus. Since experimentalists realized that measurements in general are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course, the error calculus to-be, treating random and unknown systematic errors side by side, should ensure the consistency and traceability of physical units, physical constants and physical quantities at large. The generalized Gaussian error calculus considers unknown systematic errors to spawn biased estimators. Beyond, random errors are asked to conform to the idea of what the author calls well-defined measuring conditions. The approach features the properties of a building kit: any overall uncertainty turns out to be the sum of a contribution due to random errors, to be taken from a confidence interval as put down by Student, and a contribution due to unknown systematic errors, as expressed by an appropriate worst case estimation
ISBN,Price9783642033056
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. ENGINEERING 4. Engineering, general 5. Mathematical Methods in Physics 6. PHYSICS 7. SYSTEM THEORY 8. Systems Theory, Control
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