
Principles of Discontinuous Dynamical Systems
Marat Akhmet(Author)
Springer (Publisher)
Published on 11. August 2010
Book
Hardback
XI, 176 pages
978-1-4419-6580-6 (ISBN)
Description
Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest.
Principles of Discontinuous Dynamical Systems
is devoted to the theory of differential equations with variable moments of impulses. It introduces a new strategy of implementing an equivalence to systems whose solutions have prescribed moments of impulses and utilizing special topologies in spaces of piecewise continuous functions. The achievements obtained on the basis of this approach are described in this book. The text progresses systematically, by covering preliminaries in the first four chapters. This is followed by more complex material and special topics such as Hopf bifurcation, Devaney's chaos, and the shadowing property are discussed in the last two chapters.
This book is suitable for researchers and graduate students in mathematics and also in diverse areas such as biology, computer science, and engineering who deal with real world problems.
More details
Edition
2010 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
XI, 176 p.
Dimensions
Height: 243 mm
Width: 164 mm
Thickness: 20 mm
Weight
436 gr
ISBN-13
978-1-4419-6580-6 (9781441965806)
DOI
10.1007/978-1-4419-6581-3
Schweitzer Classification
Other editions
Additional editions

Marat Akhmet
Principles of Discontinuous Dynamical Systems
Book
10/2014
Springer
€53.49
Shipment within 15-20 days

Marat Akhmet
Principles of Discontinuous Dynamical Systems
E-Book
08/2010
1st Edition
Springer
€53.49
Available for download
Content
Description of the System with Fixed Moments of Impulses and Its Solutions.- Stability and Periodic Solutions of Systems with Fixed Moments of Impulses.- Basics of Linear Systems.- Nonautonomous Systems with Variable Moments of Impulses.- Differentiability Properties of Nonautonomous Systems.- Periodic Solutions of Nonlinear Systems.- Discontinuous Dynamical Systems.- Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle.- Chaos and Shadowing.