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Stability and Bifurcation Theory for Non-Autonomous Differential Equations

2012-12-14 Mathematics
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Release : 2012-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 063/5 ( reviews)

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Book Synopsis Stability and Bifurcation Theory for Non-Autonomous Differential Equations by : Anna Capietto

Download or read book Stability and Bifurcation Theory for Non-Autonomous Differential Equations written by Anna Capietto. This book was released on 2012-12-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability and Bifurcation Theory for Non-Autonomous Differential Equations

2013 Bifurcation theory
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Release : 2013
Genre : Bifurcation theory
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Book Synopsis Stability and Bifurcation Theory for Non-Autonomous Differential Equations by : Anna Capietto

Download or read book Stability and Bifurcation Theory for Non-Autonomous Differential Equations written by Anna Capietto. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:

Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities

2017-01-23 Mathematics
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Release : 2017-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 800/5 ( reviews)

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Book Synopsis Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities by : Marat Akhmet

Download or read book Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities written by Marat Akhmet. This book was released on 2017-01-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonautonomous Bifurcation Theory

2023-05-31 Mathematics
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Release : 2023-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 42X/5 ( reviews)

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Book Synopsis Nonautonomous Bifurcation Theory by : Vasso Anagnostopoulou

Download or read book Nonautonomous Bifurcation Theory written by Vasso Anagnostopoulou. This book was released on 2023-05-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Stability and Bifurcation Theory

1973 Bifurcation theory
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Release : 1973
Genre : Bifurcation theory
Kind : eBook
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Book Synopsis Topics in Stability and Bifurcation Theory by : David H. Sattinger

Download or read book Topics in Stability and Bifurcation Theory written by David H. Sattinger. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt:

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