Spaces Of Dynamical Systems
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Spaces Of Dynamical Systems
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Author : Sergei Yu. Pilyugin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-08-05
Spaces Of Dynamical Systems written by Sergei Yu. Pilyugin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-05 with Science categories.
Spaces Of Dynamical Systems
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Author : Sergei Yu. Pilyugin
language : en
Publisher: Walter de Gruyter
Release Date : 2012-04-10
Spaces Of Dynamical Systems written by Sergei Yu. Pilyugin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-10 with Science categories.
Dynamical systems are abundant in theoretical physics and engineering. Their understanding, with sufficient mathematical rigor, is vital to solving many problems. This work conveys the modern theory of dynamical systems in a didactically developed fashion. In addition to topological dynamics, structural stability and chaotic dynamics, also generic properties and pseudotrajectories are covered, as well as nonlinearity. The author is an experienced book writer and his work is based on years of teaching.
Discrete Time And Discrete Space Dynamical Systems
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Author : Kuize Zhang
language : en
Publisher: Springer
Release Date : 2019-08-06
Discrete Time And Discrete Space Dynamical Systems written by Kuize Zhang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-06 with Technology & Engineering categories.
Discrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including: Boolean control networks; nondeterministic finite-transition systems; finite automata; labelled Petri nets; and cellular automata. The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology. Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this increasingly important class of systems. The basic results to be found within are of fundamental importance for further study of related problems such as automated synthesis and safety control in cyber-physical systems using formal methods.
The Space Of Dynamical Systems With The C0 Topology
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Author : Sergei Yu. Pilyugin
language : en
Publisher:
Release Date : 2014-01-15
The Space Of Dynamical Systems With The C0 Topology written by Sergei Yu. Pilyugin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Semidynamical Systems In Infinite Dimensional Spaces
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Author : Stephen H. Saperstone
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Semidynamical Systems In Infinite Dimensional Spaces written by Stephen H. Saperstone 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 2012-12-06 with Science categories.
Where do solutions go, and how do they behave en route? These are two of the major questions addressed by the qualita tive theory of differential equations. The purpose of this book is to answer these questions for certain classes of equa tions by recourse to the framework of semidynamical systems (or topological dynamics as it is sometimes called). This approach makes it possible to treat a seemingly broad range of equations from nonautonomous ordinary differential equa tions and partial differential equations to stochastic differ ential equations. The methods are not limited to the examples presented here, though. The basic idea is this: Embed some representation of the solutions of the equation (and perhaps the equation itself) in an appropriate function space. This space serves as the phase space for the semidynamical system. The phase map must be chosen so as to generate solutions to the equation from an initial value. In most instances it is necessary to provide a "weak" topology on the phase space. Typically the space is infinite dimensional. These considerations motivate the requirement to study semidynamical systems in non locally compact spaces. Our objective here is to present only those results needed for the kinds of applications one is likely to encounter in differen tial equations. Additional properties and extensions of ab stract semidynamical systems are left as exercises. The power of the semidynamical framework makes it possible to character- Preface ize the asymptotic behavior of the solutions of such a wide class of equations.
The Space Of Dynamical Systems With The C0 Topology
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Author : Sergei Yurievitch Pilyugin
language : en
Publisher: Springer
Release Date : 1994
The Space Of Dynamical Systems With The C0 Topology written by Sergei Yurievitch Pilyugin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Dynamical Systems On Homogeneous Spaces
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Author : Aleksandr N. Starkov
language : en
Publisher:
Release Date : 2000
Dynamical Systems On Homogeneous Spaces written by Aleksandr N. Starkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Ergodic theory categories.
A homogeneous flow is a dynamical system generated by the action of a closed subgroup H of a Lie group G on a homogeneous space of G. The study of such systems is of great significance because they constitute an algebraic model for more general and more complicated systems. Also, there are abundant applications to other fields of mathematics, most notably to number theory. The present book gives an extensive survey of the subject. In the first chapter the author discusses ergodicity and mixing of homogeneous flows. The second chapter is focused on unipotent flows, for which substantial progres.
Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann
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Author : Eusebius Doedel
language : en
Publisher: World Scientific
Release Date : 2006-03-10
Modeling And Computations In Dynamical Systems In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann written by Eusebius Doedel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-10 with Science categories.
The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J E Marsden, P J Holmes, M Shub, A Iserles, M Dellnitz and J Guckenheimer, this book offers a unique combination of theoretical and applied research in areas such as geometric integration, neural networks, linear programming, dynamical astronomy, chemical reaction models, structural and fluid mechanics.The contents of this book was also published as a special issue of the International Journal of Bifurcation and Chaos — March 2005.
Mathematics Of Climate Modeling
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Author : Valentin P. Dymnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics Of Climate Modeling written by Valentin P. Dymnikov 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 2012-12-06 with Mathematics categories.
The present monograph is dedicated to a new branch of the theory of climate, which is titled by the authors, "Mathematical Theory of Climate. " The foundation of this branch is the investigation of climate models by the methods of the qUalitative theory of differential equa tions. In the Russian edition the book was named "Fundamentals of the Mathematical Theory of Climate. " Respecting the recommenda tions of Wayne Yuhasz (we are truly grateful to him for this advice), we named the English edition of the book "Mathematics of Climate Modelling. " This title appears to be more appropriate, since the con structive results of the theory are at present preliminary and have not been fully tested with experiments in climate modelling. This branch of science is yet developing and its practical results will be obtained only in the near future. Nevertheless, we want to keep the terminology which we have used in the introduction to the Russian edition of the book, since the authors hope that this term will be accepted by the scientific community for identification of a given branch of climate theory. On preparing the English edition, new ideas were established con necting some significant new research results obtained by the author. We are deeply grateful to G. Marchuk for continual encourage ment of this scientific enterprise and fruitful discussions, to our young colleagues A. Gorelov, E. Kazantsev, A. Gritsun, and A.
Foundations Of Complex Systems Emergence Information And Prediction 2nd Edition
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Author : Gregoire Nicolis
language : en
Publisher: World Scientific
Release Date : 2012-03-08
Foundations Of Complex Systems Emergence Information And Prediction 2nd Edition written by Gregoire Nicolis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Science categories.
This book provides a self-contained presentation of the physical and mathematical laws governing complex systems. Complex systems arising in natural, engineering, environmental, life and social sciences are approached from a unifying point of view using an array of methodologies such as microscopic and macroscopic level formulations, deterministic and probabilistic tools, modeling and simulation. The book can be used as a textbook by graduate students, researchers and teachers in science, as well as non-experts who wish to have an overview of one of the most open, markedly interdisciplinary and fast-growing branches of present-day science.