Synchronization In Infinite Dimensional Deterministic And Stochastic Systems

Author : Igor Chueshov,Björn Schmalfuß
Publisher : Springer Nature
Page : 346 pages
File Size : 47,6 Mb
Release : 2020-07-29
Category : Mathematics
ISBN : 9783030470913

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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems by Igor Chueshov,Björn Schmalfuß Pdf

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.

Author : Tatsien Li,Bopeng Rao
Publisher : Springer Nature
Page : 324 pages
File Size : 40,6 Mb
Release : 2019-12-02
Category : Science
ISBN : 9783030328498

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Boundary Synchronization for Hyperbolic Systems by Tatsien Li,Bopeng Rao Pdf

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.

Author : François Baccelli
Publisher : John Wiley & Sons Incorporated
Page : 489 pages
File Size : 48,8 Mb
Release : 1992
Category : Mathematics
ISBN : 047193609X

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Synchronization and Linearity by François Baccelli Pdf

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.

Author : Peter E. Kloeden,Martin Rasmussen
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,6 Mb
Release : 2011-08-17
Category : Mathematics
ISBN : 9780821868713

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Nonautonomous Dynamical Systems by Peter E. Kloeden,Martin Rasmussen Pdf

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.

Author : Wilfried Grecksch,Hannelore Lisei
Publisher : World Scientific
Page : 261 pages
File Size : 43,5 Mb
Release : 2020-04-22
Category : Science
ISBN : 9789811209802

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Infinite Dimensional And Finite Dimensional Stochastic Equations And Applications In Physics by Wilfried Grecksch,Hannelore Lisei Pdf

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.

Author : Stavros Apostol Belbas
Publisher : Unknown
Page : 200 pages
File Size : 47,5 Mb
Release : 1979
Category : Stochastic integrals
ISBN : OCLC:83952698

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Stability of Infinite Dimensional Stochastic Systems by Stavros Apostol Belbas Pdf

Author : Igor Chueshov,Irena Lasiecka
Publisher : Springer Science & Business Media
Page : 770 pages
File Size : 46,9 Mb
Release : 2010-04-08
Category : Mathematics
ISBN : 9780387877129

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Von Karman Evolution Equations by Igor Chueshov,Irena Lasiecka Pdf

In the study of mathematical models that arise in the context of concrete - plications, the following two questions are of fundamental importance: (i) we- posedness of the model, including existence and uniqueness of solutions; and (ii) qualitative properties of solutions. A positive answer to the ?rst question, - ing of prime interest on purely mathematical grounds, also provides an important test of the viability of the model as a description of a given physical phenomenon. An answer or insight to the second question provides a wealth of information about the model, hence about the process it describes. Of particular interest are questions related to long-time behavior of solutions. Such an evolution property cannot be v- i?ed empirically, thus any in a-priori information about the long-time asymptotics can be used in predicting an ultimate long-time response and dynamical behavior of solutions. In recent years, this set of investigations has attracted a great deal of attention. Consequent efforts have then resulted in the creation and infusion of new methods and new tools that have been responsible for carrying out a successful an- ysis of long-time behavior of several classes of nonlinear PDEs.

Author : Eric Bertin
Publisher : Springer
Page : 172 pages
File Size : 40,7 Mb
Release : 2016-10-14
Category : Science
ISBN : 9783319423401

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Statistical Physics of Complex Systems by Eric Bertin Pdf

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

Author : Anonim
Publisher : Unknown
Page : 1270 pages
File Size : 43,9 Mb
Release : 2005
Category : Mathematics
ISBN : UOM:39015062317154

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Mathematical Reviews by Anonim Pdf

Author : K. Gessner,T.G. Blenkinsop,P. Sorjonen-Ward
Publisher : Geological Society of London
Page : 412 pages
File Size : 43,5 Mb
Release : 2018-08-07
Category : Science
ISBN : 9781786203137

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Characterization of Ore-Forming Systems from Geological, Geochemical and Geophysical Studies by K. Gessner,T.G. Blenkinsop,P. Sorjonen-Ward Pdf

Economically viable concentrations of mineral resources are uncommon in Earth’s crust. Most ore deposits that were mined in the past or are currently being extracted were found at or near Earth’s surface, often serendipitously. To meet the future demand for mineral resources, exploration success hinges on identifying targets at depth. Achieving this requires accurate and informed models of the Earth's crust that are consistent with all available geological, geochemical and geophysical information, paired with an understanding of how ore-forming systems relate to Earth’s evolving structure. Contributions to this volume address the future resources challenge by (i) applying advanced microscale geochemical detection and characterization methods, (ii) introducing more rigorous 3D Earth models, (iii) exploring critical behaviour and coupled processes, (iv) evaluating the role of geodynamic and tectonic setting and (v) applying 3D structural models to characterize specific ore-forming systems.

Author : Anne Remke,Mariëlle Stoelinga
Publisher : Springer
Page : 281 pages
File Size : 53,7 Mb
Release : 2014-11-03
Category : Computers
ISBN : 9783662454893

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Stochastic Model Checking by Anne Remke,Mariëlle Stoelinga Pdf

The use of stochastic models in computer science is wide spread, for instance in performance modeling, analysis of randomized algorithms and communication protocols which form the structure of the Internet. Stochastic model checking is an important field in stochastic analysis. It has rapidly gained popularity, due to its powerful and systematic methods to model and analyze stochastic systems. This book presents 7 tutorial lectures given by leading scientists at the ROCKS Autumn School on Stochastic Model Checking, held in Vahrn, Italy, in October 2012. The 7 chapters of this tutorial went through two rounds of reviewing and improvement and are summarizing the state-of-the-art in the field, centered around the tree areas of stochastic models, abstraction techniques and stochastic model checking.

Author : Anonim
Publisher : Unknown
Page : 976 pages
File Size : 55,8 Mb
Release : 1990
Category : Aeronautics
ISBN : UIUC:30112075701802

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Scientific and Technical Aerospace Reports by Anonim Pdf

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.

Author : Katy Borner
Publisher : MIT Press
Page : 227 pages
File Size : 51,6 Mb
Release : 2021-08-31
Category : Science
ISBN : 9780262045957

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Atlas of Forecasts by Katy Borner Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 968 pages
File Size : 43,9 Mb
Release : 1994
Category : Science
ISBN : UOM:39015053411974

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Government Reports Announcements & Index by Anonim Pdf

Author : International Federation of Automatic Control
Publisher : Unknown
Page : 528 pages
File Size : 52,5 Mb
Release : 1971
Category : Automation
ISBN : PSU:000003535523

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Automatic and Remote Control by International Federation of Automatic Control Pdf