Download or read book Geometric Theory for Infinite Dimensional Systems written by Hans J. Zwart and published by Springer. This book was released on 2014-03-12 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is addressed to researchers in the field of geometric theory of infinite dimensional systems. The author uses basic concepts of the infinite dimensional system theory, approximate controllability, initial observability, which are covered in the second and third chapter. The book is self-contained with respect to the notions of the geometric theory, although sometimes the author refers to the references for the finite dimensional case.
Download or read book Geometric Theory for Infinite Dimensional Systems written by Hans J. Zwart (Mathematiker) and published by . This book was released on 1988 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric theory for infinite dimensional systems written by and published by . This book was released on 1988 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Infinite Dimensional Dynamical Systems Geometric Theory written by J.K. Hale and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Including: An Introduction to the Homotopy Theory in Noncompact Spaces
Download or read book The Geometry of Infinite Dimensional Groups written by Boris Khesin and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Download or read book An Introduction to Infinite Dimensional Dynamical Systems geometric Theory written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 1984 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics in Infinite Dimensions written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2002-07-12 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications
Download or read book Geometric Theory of Discrete Nonautonomous Dynamical Systems written by Christian Pötzsche and published by Springer Science & Business Media. This book was released on 2010-09-17 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).
Download or read book Geometric Theory of Infinite Dimensional Dynamical Systems written by and published by . This book was released on 1992 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: A subject of investigation was the extent to which an entropy inequality (i.e., the Second Law of Thermodynamics) induces stabilization of solutions of hyperbolic systems of conservation laws. It was shown that the entropy inequality guarantees uniqueness of Lipschitz solutions within the class of BV solutions, provided that the entropy is convex just in certain directions compatible with the natural invariance of the system expressed in terms of involutions . It was proven that BV solutions of strictly hyperbolic systems with shocks of moderate strength, which satisfy the Liu admissibility condition, minimize the rate of total entropy production. The theory of generalized characteristics for a single conservation law, developed earlier by the author, was applied to conservation laws with inhomogeneity and fading memory. The theory of generalized characteristics was developed for systems of conservations laws and was used to obtain information on the large time behavior of solutions. This theory was employed to establish uniqueness of solutions for special systems of conservation laws in which shock and rarefaction wave curves coincide.
Download or read book Quantization and Infinite Dimensional Systems written by S.T. Ali and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: As all participants know by now, the Bialowieza Summer Workshop has acquired a life of its own. The charming venue of the meetings, the informal atmosphere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Methods in Physics, focusing specifically on Quantization and Infinite-dimensional Systems. Altogether, about fifty participants attended the workshop. As before, the aim of the workshop was to have a small number of in-depth lectures on the main theme and a somewhat larger number of short presentations on related areas, while leaving enough free time for private discussions and exchange of ideas. Topics treated in the workshop included field theory, geometric quantization and symplectic geometry, coherent states methods, holomorphic representation theory, Poisson structures, non-commutative geometry, supersymmetry and quantum groups. The editors have the pleasant task of first thanking all the local organizers, in particular Dr. K. Gilewicz, for their painstaking efforts in ensuring the smooth running of the meeting and for organizing a delightful array of social events. Secondly, they would like to record their indebtedness to all the people who have contributed to this volume and to the redoubtable Ms. Cindy Parkinson without whose patient typesetting and editing skills the volume could hardly have seen the light of the day.
Download or read book Geometric Theory for Infinite Dimensional Systems written by Hans J. Zwart and published by Springer. This book was released on 1989-02-08 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is addressed to researchers in the field of geometric theory of infinite dimensional systems. The author uses basic concepts of the infinite dimensional system theory, approximate controllability, initial observability, which are covered in the second and third chapter. The book is self-contained with respect to the notions of the geometric theory, although sometimes the author refers to the references for the finite dimensional case.
Download or read book Introduction to Infinite Dimensional Systems Theory written by Ruth Curtain and published by Springer Nature. This book was released on 2020-04-05 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.
Download or read book Topics in the Geometric Theory of Linear Systems written by Robert Hermann and published by . This book was released on 1984 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Infinite Dimensional Lie Groups In Geometry And Representation Theory written by Augustin Banyaga and published by World Scientific. This book was released on 2002-07-12 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents some important recent developments in this area. It opens with a topological characterization of regular groups, treats among other topics the integrability problem of various infinite dimensional Lie algebras, presents substantial contributions to important subjects in modern geometry, and concludes with interesting applications to representation theory. The book should be a new source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.
Download or read book Analysis and Control of Infinite Dimensional Systems written by Karl Rieger and published by . This book was released on 2009 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Mechanics and Symmetry written by Darryl D. Holm and published by Oxford University Press. This book was released on 2009-07-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincaré equations for dynamics on Lie groups. Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincaré reduction theorem for ideal fluid dynamics. A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.
Download or read book Infinite Dimensional Geometry Noncommutative Geometry Operator Algebras And Fundamental Interactions Proceedings Of The First Caribbean Spring School Of Mathematics And Theoretical Physics written by Robert Coquereaux and published by World Scientific. This book was released on 1995-06-28 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
