Structure Of Dynamical Systems
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Structure of Dynamical Systems
Author | : J.M. Souriau |
Publsiher | : Springer Science & Business Media |
Total Pages | : 427 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461202813 |
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The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.
Structure of Dynamical Systems Structure Des Systemes Dynamiques
Author | : Jean-Marie Souriau |
Publsiher | : Unknown |
Total Pages | : 406 |
Release | : 1997 |
Genre | : Electronic Book |
ISBN | : 3764336951 |
Download Structure of Dynamical Systems Structure Des Systemes Dynamiques Book in PDF, Epub and Kindle
Structure of Dynamical Systems
Author | : J.M. Souriau |
Publsiher | : Springer Science & Business Media |
Total Pages | : 450 |
Release | : 1997-09-23 |
Genre | : Mathematics |
ISBN | : 0817636951 |
Download Structure of Dynamical Systems Book in PDF, Epub and Kindle
The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.
Turbulence Coherent Structures Dynamical Systems and Symmetry
Author | : Philip Holmes |
Publsiher | : Cambridge University Press |
Total Pages | : 403 |
Release | : 2012-02-23 |
Genre | : Mathematics |
ISBN | : 9781107008250 |
Download Turbulence Coherent Structures Dynamical Systems and Symmetry Book in PDF, Epub and Kindle
Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.
Operator Structures and Dynamical Systems
Author | : Marcel de Jeu |
Publsiher | : American Mathematical Soc. |
Total Pages | : 329 |
Release | : 2009-11-30 |
Genre | : Mathematics |
ISBN | : 9780821847473 |
Download Operator Structures and Dynamical Systems Book in PDF, Epub and Kindle
This volume contains the proceedings of a Leiden Workshop on Dynamical Systems and their accompanying Operator Structures which took place at the Lorentz Center in Leiden, The Netherlands, on July 21-25, 2008. These papers offer a panorama of selfadjoint and non-selfadjoint operator algebras associated with both noncommutative and commutative (topological) dynamical systems and related subjects. Papers on general theory, as well as more specialized ones on symbolic dynamics and complex dynamical systems, are included.
Dynamical Systems Graphs and Algorithms
Author | : George Osipenko |
Publsiher | : Springer |
Total Pages | : 286 |
Release | : 2006-10-28 |
Genre | : Mathematics |
ISBN | : 9783540355953 |
Download Dynamical Systems Graphs and Algorithms Book in PDF, Epub and Kindle
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
An Introduction to Sequential Dynamical Systems
Author | : Henning Mortveit,Christian Reidys |
Publsiher | : Springer Science & Business Media |
Total Pages | : 261 |
Release | : 2007-11-27 |
Genre | : Mathematics |
ISBN | : 9780387498799 |
Download An Introduction to Sequential Dynamical Systems Book in PDF, Epub and Kindle
This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.
An Introduction to Hybrid Dynamical Systems
Author | : Arjan J. van der Schaft,Hans Schumacher |
Publsiher | : Springer |
Total Pages | : 189 |
Release | : 2007-10-03 |
Genre | : Technology & Engineering |
ISBN | : 9781846285424 |
Download An Introduction to Hybrid Dynamical Systems Book in PDF, Epub and Kindle
This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.