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Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities

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Éditeur :

Springer


Collection :

Nonlinear Physical Science

Paru le : 2017-01-23

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Description

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.
Pages
166 pages
Collection
Nonlinear Physical Science
Parution
2017-01-23
Marque
Springer
EAN papier
9789811031793
EAN PDF
9789811031809
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
4823 Ko
Prix
52,74 €
EAN EPUB
9789811031809
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
16
Taille du fichier
3604 Ko
Prix
52,74 €

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