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Dynamics Of Quasi Stable Dissipative Systems
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Book Synopsis Dynamics of Quasi-Stable Dissipative Systems by : Igor Chueshov
Download or read book Dynamics of Quasi-Stable Dissipative Systems written by Igor Chueshov and published by Springer. This book was released on 2015-09-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Book Synopsis Dissipative Lattice Dynamical Systems by : Xiaoying Han
Download or read book Dissipative Lattice Dynamical Systems written by Xiaoying Han and published by World Scientific. This book was released on 2023-03-14 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is asymptotically compact in some way.There is now a very large literature on lattice dynamical systems, especially on attractors of all kinds in such systems. We cannot hope to do justice to all of them here. Instead, we have focused on key areas of representative types of lattice systems and various types of attractors. Our selection is biased by our own interests, in particular to those dealing with biological applications. One of the important results is the approximation of Heaviside switching functions in LDS by sigmoidal functions.Nevertheless, we believe that this book will provide the reader with a solid introduction to the field, its main results and the methods that are used to obtain them.
Book Synopsis Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics by : Victor A. Sadovnichiy
Download or read book Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics written by Victor A. Sadovnichiy and published by Springer Nature. This book was released on 2020-11-24 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields
Book Synopsis Attractors for Semigroups and Evolution Equations by : Olga A. Ladyzhenskaya
Download or read book Attractors for Semigroups and Evolution Equations written by Olga A. Ladyzhenskaya and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of trajectories for semigroups of nonlinear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many initial boundary value problems for dissipative partial differential equations. This work, for which Ladyzhenskaya was awarded the Russian Academy of Sciences' Kovalevskaya Prize, reflects the high calibre of her lectures; it is essential reading for anyone interested in her approach to partial differential equations and dynamical systems. This edition, reissued for her centenary, includes a new technical introduction, written by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik, surveying Ladyzhenskaya's works in the field and subsequent developments influenced by her results.
Book Synopsis Von Karman Evolution Equations by : Igor Chueshov
Download or read book Von Karman Evolution Equations written by Igor Chueshov and published by Springer. This book was released on 2012-05-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fluids Under Control by : Tomáš Bodnár
Download or read book Fluids Under Control written by Tomáš Bodnár and published by Springer Nature. This book was released on with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Quantum Dissipative Systems by : Ulrich Weiss
Download or read book Quantum Dissipative Systems written by Ulrich Weiss and published by World Scientific. This book was released on 2012 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book -- originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions -- delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems.This fourth edition provides a self-contained and updated account of the quantum mechanics of open systems and offers important new material including the most recent developments. The subject matter has been expanded by about fifteen percent. Many chapters have been completely rewritten to better cater to both the needs of newcomers to the field and the requests of the advanced readership. Two chapters have been added that account for recent progress in the field. This book should be accessible to all graduate students in physics. Researchers will find this a rich and stimulating source.
Book Synopsis Replication of Chaos in Neural Networks, Economics and Physics by : Marat Akhmet
Download or read book Replication of Chaos in Neural Networks, Economics and Physics written by Marat Akhmet and published by Springer. This book was released on 2015-08-13 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.
Book Synopsis Nonautonomous Dynamics by : David N. Cheban
Download or read book Nonautonomous Dynamics written by David N. Cheban and published by Springer Nature. This book was released on 2020-01-22 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
Book Synopsis Metastable Dynamics of Neural Ensembles by : Emili Balaguer-Ballester
Download or read book Metastable Dynamics of Neural Ensembles written by Emili Balaguer-Ballester and published by Frontiers Media SA. This book was released on 2018-03-19 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classical view of neural computation is that it can be characterized in terms of convergence to attractor states or sequential transitions among states in a noisy background. After over three decades, is this still a valid model of how brain dynamics implements cognition? This book provides a comprehensive collection of recent theoretical and experimental contributions addressing the question of stable versus transient neural population dynamics from complementary angles. These studies showcase recent efforts for designing a framework that encompasses the multiple facets of metastability in neural responses, one of the most exciting topics currently in systems and computational neuroscience.
Book Synopsis Infinite-Dimensional Dynamical Systems by : James C. Robinson
Download or read book Infinite-Dimensional Dynamical Systems written by James C. Robinson and published by Cambridge University Press. This book was released on 2001-04-23 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.
Book Synopsis Dissipative Systems Analysis and Control by : Bernard Brogliato
Download or read book Dissipative Systems Analysis and Control written by Bernard Brogliato and published by Springer. This book was released on 2019-07-03 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Book Synopsis Von Karman Evolution Equations by : Igor Chueshov
Download or read book Von Karman Evolution Equations written by Igor Chueshov and published by Springer Science & Business Media. This book was released on 2010-04-08 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Companion to the Philosophy of Biology by : Sahotra Sarkar
Download or read book A Companion to the Philosophy of Biology written by Sahotra Sarkar and published by John Wiley & Sons. This book was released on 2010-11-08 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A COMPANION TO THE PHILOSOPHY OF BIOLOGY “Sarkar is to be congratulated for assembling this talented team of philosophers, who are themselves to be congratulated for writing these interesting essays on so many fascinating areas in philosophy of biology. This book will be a wonderful resource for future work.” Elliot Sober, University of Wisconsin-Madison “Many of the discussions here start with a definition of terms and a historical context of the subject before delving into the deeper philosophical issues, making it a useful reference for students of biology as well as philosophy.” Northeastern Naturalist “The topics that are addressed are done so well. This book will appeal to the advanced student and knowledgeable amateur and may prove useful catalyst for discussion among research teams or those engaged in cross-disciplinary studies.” Reference Reviews A Companion to the Philosophy of Biology offers concise overviews of philosophical issues raised by all areas of biology. Addressing both traditional and emerging areas of philosophical interest, the volume focuses on the philosophical implications of evolutionary theory as well as key topics such as molecular biology, immunology, and ecology Comprising essays by top scholars in the field, this volume is an authoritative guide for professional philosophers, historians, sociologists and biologists, as well as an accessible reference work for students seeking to learn about this rapidly-changing field.
Book Synopsis Entropy in Dynamic Systems by : Jan Awrejcewicz
Download or read book Entropy in Dynamic Systems written by Jan Awrejcewicz and published by MDPI. This book was released on 2019-10-16 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.
Book Synopsis Vibration Problems ICOVP 2007 by : Esin Inan
Download or read book Vibration Problems ICOVP 2007 written by Esin Inan and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibration problems dealing with advanced Mathematical and Numerical Techniques have extensive application in a wide class of problems in ae- nautics, aerodynamics, space science and technology, off-shore engineering and in the design of different structural components of high speed space crafts and nuclear reactors. Different classes of vibration problems dealing with complex geometries and non-linear behaviour require careful attention of scientists and engineers in pursuit of their research activities. Almost all fields of Engineering, Science and Technology, ranging from small domestic building subjected to earthquake and cyclone to the space craft venturing towards different planets, from giant ship to human skeleton, encounter problems of vibration and dynamic loading. This being truly an interdisciplinary field, where the mathematicians, phy- cists and engineers could interface their innovative ideas and creative thoughts to arrive at an appropriate solution, Bengal Engineering and Science University, Shibpur, India, a premier institution for education and research in engineering, science and technology felt it appropriate to organize 8th International C- ference on “Vibration Problems (ICOVP-2007)” as a part of its sesquicentenary celebration. The conference created a platform and all aspects of vibration phenomenon with the focus on the state-of-the art in theoretical, experimental and applied research areas were addressed and the scientific interaction, p- ticipated by a large gathering including eminent personalities and young research workers, generated many research areas and innovative ideas.
