Akademik Veri Yönetim Sistemi
Springer, London/Berlin , New-York, 2017
This book is devoted to bifurcation theory for autonomous and nonautonomous
differential equations with discontinuities of different types. That is, those with jumps
present either in the right-hand-side or in trajectories or in the arguments of solutions
of equations. The results obtained in this book can be applied to various fields such as
neural networks, brain dynamics, mechanical systems, weather phenomena, population
dynamics, etc. Without any doubt, bifurcation theory should be further developed to
different types of differential equations. In this sense, the present book will be a leading
one in this field. The reader will benefit from the recent results of the theory and will
learn in the very concrete way how to apply this theory to differential equations with
various types of discontinuity. Moreover, the reader will learn new ways to analyze
nonautonomous bifurcation scenarios in these equations. The book will be of a big
interest both for beginners and experts in the field. For the former group of specialists,
that is, undergraduate and graduate students, the book will be useful since it provides
a strong impression that bifurcation theory can be developed not only for discrete and
continuous systems, but those which combine these systems in very different ways. The
latter group of specialists will find in this book several powerful instruments developed
for the theory of discontinuous dynamical systems with variable moments of impacts,
differential equations with piecewise constant arguments of generalized type and Filippov
systems. A significant benefit of the present book is expected to be for those who consider
bifurcations in systems with impulses since they are presumably nonautonomous systems