Elements Of Dynamical Systems
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Author | : Anima Nagar |
Publisher | : Springer Nature |
Total Pages | : 190 |
Release | : 2022-11-11 |
Genre | : Mathematics |
ISBN | : 9811679622 |
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This book stems from lectures that were delivered at the three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology Delhi, from 4–23 December 2017, with the support of the National Centre for Mathematics, National Board for Higher Mathematics, Department of Atomic Energy, Government of India. The book discusses various aspects of dynamical systems. Each chapter of this book specializes in one aspect of dynamical systems and thus begins at an elementary level and goes on to cover fairly advanced material. The book helps researchers be familiar with and navigate through different parts of ergodic theory and dynamical systems.
Author | : Michael Brin |
Publisher | : Cambridge University Press |
Total Pages | : 490 |
Release | : 2004-08-16 |
Genre | : Mathematics |
ISBN | : 9780521840736 |
Download Modern Dynamical Systems and Applications Book in PDF, Epub and Kindle
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Author | : Shlomo Sternberg |
Publisher | : Courier Corporation |
Total Pages | : 276 |
Release | : 2010-07-21 |
Genre | : Mathematics |
ISBN | : 0486477053 |
Download Dynamical Systems Book in PDF, Epub and Kindle
A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
Author | : J. de Vries |
Publisher | : Springer Science & Business Media |
Total Pages | : 762 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401581711 |
Download Elements of Topological Dynamics Book in PDF, Epub and Kindle
This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2020 |
Genre | : |
ISBN | : 9789386279835 |
Download ELEMENTS OF DYNAMICAL SYSTEMS. Book in PDF, Epub and Kindle
Author | : Yuri Kuznetsov |
Publisher | : Springer Science & Business Media |
Total Pages | : 648 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475739788 |
Download Elements of Applied Bifurcation Theory Book in PDF, Epub and Kindle
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Author | : Andrew Stuart |
Publisher | : Cambridge University Press |
Total Pages | : 708 |
Release | : 1998-11-28 |
Genre | : Mathematics |
ISBN | : 9780521645638 |
Download Dynamical Systems and Numerical Analysis Book in PDF, Epub and Kindle
The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.
Author | : Robin R. Vallacher |
Publisher | : Academic Press |
Total Pages | : 338 |
Release | : 1994-01-11 |
Genre | : Medical |
ISBN | : |
Download Dynamical Systems in Social Psychology Book in PDF, Epub and Kindle
A dynamical system refers to a set of elements that interact in complex, often nonlinear ways to form coherent patterns. Because of the complexity of these interactions, the system as a whole may evolve over time in seemingly unpredictable ways as new patterns of behavior emerge. This metatheory has proven useful in understanding diverse phenomena in meteorology, population biology, statistical mechanics, economics, and cosmology. The book demonstrates how the dynamical systems perspective can be applied to theory construction and research in social psychology, and in doing so, provides fresh insight into such complex phenomena as interpersonal behavior, social relations, attitudes, and social cognition.
Author | : David Ruelle |
Publisher | : Elsevier |
Total Pages | : 196 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483272184 |
Download Elements of Differentiable Dynamics and Bifurcation Theory Book in PDF, Epub and Kindle
Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
Author | : Ya G. Sinai |
Publisher | : |
Total Pages | : 296 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662067895 |
Download Dynamical Systems II Book in PDF, Epub and Kindle