Stability And Bifurcation Theory For Non Autonomous Differential Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Stability And Bifurcation Theory For Non Autonomous Differential Equations PDF full book. Access full book title Stability And Bifurcation Theory For Non Autonomous Differential Equations.
Author | : Anna Capietto |
Publisher | : Springer |
Total Pages | : 314 |
Release | : 2012-12-14 |
Genre | : Mathematics |
ISBN | : 3642329063 |
Download Stability and Bifurcation Theory for Non-Autonomous Differential Equations Book in PDF, ePub and Kindle
This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
Author | : Anna Capietto |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : Bifurcation theory |
ISBN | : |
Download Stability and Bifurcation Theory for Non-Autonomous Differential Equations Book in PDF, ePub and Kindle
Author | : Marat Akhmet |
Publisher | : Springer |
Total Pages | : 175 |
Release | : 2017-01-23 |
Genre | : Mathematics |
ISBN | : 9811031800 |
Download Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities Book in PDF, ePub and Kindle
This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types – those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations. The results obtained can be applied to various fields, such as neural networks, brain dynamics, mechanical systems, weather phenomena and population dynamics. Developing bifurcation theory for various types of differential equations, the book is pioneering in the field. It presents the latest results and provides a practical guide to applying the theory to differential equations with various types of discontinuity. Moreover, it offers new ways to analyze nonautonomous bifurcation scenarios in these equations. As such, it shows undergraduate and graduate students how bifurcation theory can be developed not only for discrete and continuous systems, but also for those that combine these systems in very different ways. At the same time, it offers specialists several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impact, differential equations with piecewise constant arguments of generalized type and Filippov systems.
Author | : Vasso Anagnostopoulou |
Publisher | : Springer Nature |
Total Pages | : 159 |
Release | : 2023-05-31 |
Genre | : Mathematics |
ISBN | : 303129842X |
Download Nonautonomous Bifurcation Theory Book in PDF, ePub and Kindle
Bifurcation theory is a major topic in dynamical systems theory with profound applications. However, in contrast to autonomous dynamical systems, it is not clear what a bifurcation of a nonautonomous dynamical system actually is, and so far, various different approaches to describe qualitative changes have been suggested in the literature. The aim of this book is to provide a concise survey of the area and equip the reader with suitable tools to tackle nonautonomous problems. A review, discussion and comparison of several concepts of bifurcation is provided, and these are formulated in a unified notation and illustrated by means of comprehensible examples. Additionally, certain relevant tools needed in a corresponding analysis are presented.
Author | : Piero de Mottoni |
Publisher | : Academic Press |
Total Pages | : 370 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262499 |
Download Nonlinear Differential Equations Book in PDF, ePub and Kindle
Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.
Author | : David H. Sattinger |
Publisher | : |
Total Pages | : 208 |
Release | : 1973 |
Genre | : Bifurcation theory |
ISBN | : |
Download Topics in Stability and Bifurcation Theory Book in PDF, ePub and Kindle
Author | : Jan Sijbrand |
Publisher | : |
Total Pages | : 280 |
Release | : 1981 |
Genre | : Bifurcation theory |
ISBN | : |
Download Studies in Non-linear Stability and Bifurcation Theory Book in PDF, ePub and Kindle
Author | : G. Iooss |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 1468493361 |
Download Elementary Stability and Bifurcation Theory Book in PDF, ePub and Kindle
In its most general form bifurcation theory is a theory of equilibrium solutions of nonlinear equations. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broaqest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, econom ists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations. To accomplish our aims, we have thought it necessary to make the analysis 1. general enough to apply to the huge variety of applications which arise in science and technology, and 2. simple enough so that it can be understood by persons whose mathe matical training does not extend beyond the classical methods of analysis which were popular in the 19th Century. Of course, it is not possible to achieve generality and simplicity in a perfect union but, in fact, the general theory is simpler than the detailed theory required for particular applications. The general theory abstracts from the detailed problems only the essential features and provides the student with the skeleton on which detailed structures of the applications must rest. It is generally believed that the mathematical theory of bifurcation requires some functional analysis and some of the methods of topology and dynamics.
Author | : Paul Glendinning |
Publisher | : Cambridge University Press |
Total Pages | : 408 |
Release | : 1994-11-25 |
Genre | : Mathematics |
ISBN | : 9780521425667 |
Download Stability, Instability and Chaos Book in PDF, ePub and Kindle
An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.
Author | : Luis Barreira |
Publisher | : Springer |
Total Pages | : 288 |
Release | : 2007-09-26 |
Genre | : Mathematics |
ISBN | : 3540747753 |
Download Stability of Nonautonomous Differential Equations Book in PDF, ePub and Kindle
This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.