Notes On Dynamical Systems
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Notes On Dynamical Systems
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Author : Jürgen Moser
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Notes On Dynamical Systems written by Jürgen Moser and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. The authors aimed at keeping the requirements of mathematical techniques minimal but giving detailed proofs and many examples and illustrations from physics and celestial mechanics. After all, the celestial $N$-body problem is the origin of dynamical systems and gave rise in the past to many mathematical developments. Jurgen Moser (1928-1999) was a professor atthe Courant Institute, New York, and then at ETH Zurich. He served as president of the International Mathematical Union and received many honors and prizes, among them the Wolf Prize in mathematics. Jurgen Moser is the author of several books, among them Stable and Random Motions in DynamicalSystems. Eduard Zehnder is a professor at ETH Zurich. He is coauthor with Helmut Hofer of the book Symplectic Invariants and Hamiltonian Dynamics. Information for our distributors: Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Dynamical Systems Graphs And Algorithms
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Author : George Osipenko
language : en
Publisher: Springer
Release Date : 2006-10-28
Dynamical Systems Graphs And Algorithms written by George Osipenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-28 with Mathematics categories.
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.
Dynamical Systems Theory And Applications
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Author : J. Moser
language : en
Publisher: Springer
Release Date : 1975-06-13
Dynamical Systems Theory And Applications written by J. Moser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06-13 with Science categories.
Notes On Hamiltonian Dynamical Systems
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Author : Antonio Giorgilli
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-05
Notes On Hamiltonian Dynamical Systems written by Antonio Giorgilli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Mathematics categories.
Introduces Hamiltonian dynamics from the very beginning, culminating in the most important recent results: Kolmogorov's and Nekhoroshev's.
Dynamical Systems And Turbulence Warwick 1980
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Author : D. A. Rand
language : en
Publisher: Springer
Release Date : 2006-11-14
Dynamical Systems And Turbulence Warwick 1980 written by D. A. Rand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.
An Introduction To Hybrid Dynamical Systems
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Author : Arjan J. van der Schaft
language : en
Publisher: Springer
Release Date : 2007-10-03
An Introduction To Hybrid Dynamical Systems written by Arjan J. van der Schaft and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-03 with Technology & Engineering categories.
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.
A Modern Introduction To Dynamical Systems
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Author : Richard Brown
language : en
Publisher: Oxford University Press
Release Date : 2018
A Modern Introduction To Dynamical Systems written by Richard Brown and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
A senior-level, proof-based undergraduate text in the modern theory of dynamical systems that is abstract enough to satisfy the needs of a pure mathematics audience, yet application heavy and accessible enough to merit good use as an introductory text for non-math majors.
Non Smooth Dynamical Systems
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Author : Markus Kunze
language : en
Publisher: Springer
Release Date : 2007-05-06
Non Smooth Dynamical Systems written by Markus Kunze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.
Notes On Dynamical Systems
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Author : Jürgen Moser
language : en
Publisher:
Release Date : 2012
Notes On Dynamical Systems written by Jürgen Moser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Combinatorial dynamics categories.
Hamiltonian Dynamical Systems And Applications
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Author : Walter Craig
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-17
Hamiltonian Dynamical Systems And Applications written by Walter Craig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-17 with Mathematics categories.
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.