Synchronization In Infinite Dimensional Deterministic And Stochastic Systems

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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

Author : Igor Chueshov
Publisher : Springer Nature
ISBN 13 : 3030470911
Total Pages : 346 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems by : Igor Chueshov

Download or read book Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems written by Igor Chueshov and published by Springer Nature. This book was released on 2020-07-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.

Scaling and Synchronization in Deterministic and Stochastic Nonlinear Dynamical Systems

Author : Volker Ahlers
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (248 download)

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Book Synopsis Scaling and Synchronization in Deterministic and Stochastic Nonlinear Dynamical Systems by : Volker Ahlers

Download or read book Scaling and Synchronization in Deterministic and Stochastic Nonlinear Dynamical Systems written by Volker Ahlers and published by . This book was released on 2001 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Synchronization for Hyperbolic Systems

Author : Tatsien Li
Publisher : Springer Nature
ISBN 13 : 303032849X
Total Pages : 324 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Boundary Synchronization for Hyperbolic Systems by : Tatsien Li

Download or read book Boundary Synchronization for Hyperbolic Systems written by Tatsien Li and published by Springer Nature. This book was released on 2019-12-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within this carefully presented monograph, the authors extend the universal phenomenon of synchronization from finite-dimensional dynamical systems of ordinary differential equations (ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By combining synchronization with controllability, they introduce the study of synchronization to the field of control and add new perspectives to the investigation of synchronization for systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin boundary controls. Each part is then subdivided into chapters detailing exact boundary synchronization and approximate boundary synchronization, respectively. The core intention is to give artificial intervention to the evolution of state variables through appropriate boundary controls for realizing the synchronization in a finite time, creating a novel viewpoint into the investigation of synchronization for systems of partial differential equations, and revealing some essentially dissimilar characteristics from systems of ordinary differential equations. Primarily aimed at researchers and graduate students of applied mathematics and applied sciences, this text will particularly appeal to those interested in applied PDEs and control theory for distributed parameter systems.

Stochastic and Chaotic Oscillations

Author : Juri I. Neimark
Publisher : Springer Science & Business Media
ISBN 13 : 9401125961
Total Pages : 510 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Stochastic and Chaotic Oscillations by : Juri I. Neimark

Download or read book Stochastic and Chaotic Oscillations written by Juri I. Neimark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to stochastic and chaotic oscillations in dissipative systems. Chapter 1 deals with mathematical models of deterministic, discrete and distributed dynamical systems. In Chapter 2, the two basic trends of order and chaos are considered. The next three chapters describe stochasticity transformers, amplifiers and generators, turbulence, and phase portraits of steady-state motions and their bifurcations. Chapter 6 treats the topics of stochastic and chaotic attractors, and this is followed by two chapters dealing with routes to chaos and the quantitative characteristics of stochastic and chaotic motions. Finally, Chapter 9, which comprises more than one-third of the book, presents examples of systems having chaotic and stochastic motions drawn from mechanical, physical, chemical and biological systems. The book concludes with a comprehensive bibliography. For mathematicians, physicists, chemists and biologists interested in stochastic and chaotic oscillations in dynamical systems.

Synchronization and Linearity

Author : François Baccelli
Publisher : John Wiley & Sons Incorporated
ISBN 13 : 9780471936091
Total Pages : 489 pages
Book Rating : 4.9/5 (36 download)

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Book Synopsis Synchronization and Linearity by : François Baccelli

Download or read book Synchronization and Linearity written by François Baccelli and published by John Wiley & Sons Incorporated. This book was released on 1992 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents new modelling and analysis techniques for the description of discrete event dynamic systems, emphasizing timing and synchronization aspects. The volume begins with a study of the areas of applications and relationships between graph theory, petri nets and algebras. It then goes on to discuss deterministic discrete event systems, stochastic discrete event systems and open problems. This class of synchronized system finds its main current industrial applications in the modelling, optimization and control of communications networks and architectures, as well as manufacturing systems.

Nonautonomous Dynamical Systems

Author : Peter E. Kloeden
Publisher : American Mathematical Soc.
ISBN 13 : 0821868713
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonautonomous Dynamical Systems by : Peter E. Kloeden

Download or read book Nonautonomous Dynamical Systems written by Peter E. Kloeden and published by American Mathematical Soc.. This book was released on 2011-08-17 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics

Author : Wilfried Grecksch
Publisher : World Scientific
ISBN 13 : 9811209804
Total Pages : 261 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics by : Wilfried Grecksch

Download or read book Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics written by Wilfried Grecksch and published by World Scientific. This book was released on 2020-04-22 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey articles on various aspects of stochastic partial differential equations (SPDEs) and their applications in stochastic control theory and in physics.The topics presented in this volume are:This book is intended not only for graduate students in mathematics or physics, but also for mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical applications of the theory of stochastic processes.

Optimal Control of Infinite Dimensional Stochastic Systems

Author : Qingxin Zhu
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (513 download)

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Book Synopsis Optimal Control of Infinite Dimensional Stochastic Systems by : Qingxin Zhu

Download or read book Optimal Control of Infinite Dimensional Stochastic Systems written by Qingxin Zhu and published by . This book was released on 1993 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Synchronization in Periodically Driven and Coupled Stochastic Systems

Author : Tobias Prager
Publisher :
ISBN 13 :
Total Pages : 207 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Synchronization in Periodically Driven and Coupled Stochastic Systems by : Tobias Prager

Download or read book Synchronization in Periodically Driven and Coupled Stochastic Systems written by Tobias Prager and published by . This book was released on 2006 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Physics of Complex Systems

Author : Eric Bertin
Publisher : Springer
ISBN 13 : 3319423401
Total Pages : 180 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Statistical Physics of Complex Systems by : Eric Bertin

Download or read book Statistical Physics of Complex Systems written by Eric Bertin and published by Springer. This book was released on 2016-10-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units, and on the other to predict the macroscopic, collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called 'complex systems science,' and as such, systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems – while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded, featuring in particular three new chapters addressing non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet, the original spirit of the book – to remain accessible to a broad, non-specialized readership – has been kept throughout: the format is a set of concise, modular and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses. From the reviews of the first edition: “... a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields ... .” Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012 “... this short text remains very refreshing for the mathematician.” Dimitri Petritis, Mathematical Reviews, Issue 2012k

Adaptive Control of Parabolic PDEs

Author : Andrey Smyshlyaev
Publisher : Princeton University Press
ISBN 13 : 1400835364
Total Pages : 344 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Adaptive Control of Parabolic PDEs by : Andrey Smyshlyaev

Download or read book Adaptive Control of Parabolic PDEs written by Andrey Smyshlyaev and published by Princeton University Press. This book was released on 2010-07-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others. Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.

The Logistic Map and the Route to Chaos

Author : Marcel Ausloos
Publisher : Springer Science & Business Media
ISBN 13 : 3540320237
Total Pages : 413 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Logistic Map and the Route to Chaos by : Marcel Ausloos

Download or read book The Logistic Map and the Route to Chaos written by Marcel Ausloos and published by Springer Science & Business Media. This book was released on 2006-02-11 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.

Supply Chain Structures

Author : Jing-Sheng Song
Publisher : Springer Science & Business Media
ISBN 13 : 9780792375340
Total Pages : 464 pages
Book Rating : 4.3/5 (753 download)

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Book Synopsis Supply Chain Structures by : Jing-Sheng Song

Download or read book Supply Chain Structures written by Jing-Sheng Song and published by Springer Science & Business Media. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the foreword to Supply Chain Structures, Professor Paul Zipkin notes three global changes that have enabled the recent vast developments in the field of supply chains. Moreover, these changes may be only the beginning and more change is likely in the fast-moving field of supply chain management. These global changes are: the explosive growth of the Internet; the growth in free-market economies with the corresponding political interest in global economic stability; and the emergence of a global managerial culture focused on performance, quality, and service. Professor Zipkin goes on to say "In Supply Chain Structures, the editors Jeannette Song and David Yao have collected a spectrum of approaches to these challenges from some of the leading scholars of supply chains, from both the academic and commercial worlds. Each of the articles offers an interesting and illuminating way to think about the key issues in supply chain management. Some also offer practical techniques to solve important problems. Together they provide an excellent survey of the current state of the art in research and practice."

Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta)

Author : Andrew Adamatzky
Publisher : World Scientific
ISBN 13 : 9814434817
Total Pages : 562 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) by : Andrew Adamatzky

Download or read book Chaos, Cnn, Memristors And Beyond: A Festschrift For Leon Chua (With Dvd-rom, Composed By Eleonora Bilotta) written by Andrew Adamatzky and published by World Scientific. This book was released on 2013-01-02 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is a unique collection of tributes to outstanding discoveries pioneered by Leon Chua in nonlinear circuits, cellular neural networks, and chaos. It is comprised of three parts. The first — cellular nonlinear networks, nonlinear circuits and cellular automata — deals with Chua's Lagrangian circuits, cellular wave computers, bio-inspired robotics and neuro-morphic architectures, toroidal chaos, synaptic cellular automata, history of Chua's circuits, cardiac arrhythmias, local activity principle, symmetry breaking and complexity, bifurcation trees, and Chua's views on nonlinear dynamics of cellular automata. Dynamical systems and chaos is the scope of the second part of the book, where we find genius accounts on theory and application of Julia set, stability of dynamical networks, chaotic neural networks and neocortical dynamics, dynamics of piecewise linear systems, chaotic mathematical circuitry, synchronization of oscillators, models of catastrophic events, control of chaotic systems, symbolic dynamics, and solitons. First hand accounts on the discovery of memristors in HP Labs, historical excursions into ‘ancient memristors’, analytical analysis of memristors, and hardware memristor emulators are presented in the third and final part of the book.The book is quintessence of ideas on future and emergent hardware, analytic theories of complex dynamical systems and interdisciplinary physics. It is a true Renaissance volume where bright ideas of electronics, mathematics and physics enlighten facets of modern science.The unique DVD covers the artistic aspects of chaos, such as several stunningly melodious musical compositions using chaotic atttractors, a virtual gallery of hundreds of colorful attractors, and even a cartoon-like play on the genesis of Chua's circuit that was based on a widely acclaimed performance in Rome and other venues in Italy. In short, it is a veritable kaleiscope of never-before-published historical, pedagogical, and futuristic technical visions on three timely topics of intense interest for both lay readers and experts alike.

Atlas of Forecasts

Author : Katy Borner
Publisher : MIT Press
ISBN 13 : 0262045958
Total Pages : 227 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Atlas of Forecasts by : Katy Borner

Download or read book Atlas of Forecasts written by Katy Borner and published by MIT Press. This book was released on 2021-08-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forecasting the future with advanced data models and visualizations. To envision and create the futures we want, society needs an appropriate understanding of the likely impact of alternative actions. Data models and visualizations offer a way to understand and intelligently manage complex, interlinked systems in science and technology, education, and policymaking. Atlas of Forecasts, from the creator of Atlas of Science and Atlas of Knowledge, shows how we can use data to predict, communicate, and ultimately attain desirable futures. Using advanced data visualizations to introduce different types of computational models, Atlas of Forecasts demonstrates how models can inform effective decision-making in education, science, technology, and policymaking. The models and maps presented aim to help anyone understand key processes and outcomes of complex systems dynamics, including which human skills are needed in an artificial intelligence-empowered economy; what progress in science and technology is likely to be made; and how policymakers can future-proof regions or nations. This Atlas offers a driver's seat-perspective for a test-drive of the future.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 976 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.