Principles of Discontinuous Dynamical Systems

Marat Akhmet

ISBN 10: 1441965807 / ISBN 13: 9781441965806

Published by Springer New York, 2010

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781441965806

Bibliographic Details

• Title: Principles of Discontinuous Dynamical Systems
• Publisher: Springer New York
• Publication Date: 2010
• Language: English
• ISBN 10: 1441965807
• ISBN 13: 9781441965806
• Binding: Buch
• Condition: Neu
• Dimensions: 243W x 164H x 20D millimeters 243 millimeters width by 164 millimeters height by 20 millimeters depth
• Weight: 436 grams

About this title

Synopsis

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.