00000cam a22000003i 4500 UP-1685594773861846081 Buklod 20110907110242.0 g||| | || || ta 180313s2010 nyu rb |||1 u|eng d 9781441965806 (hc : alk. paper) (iLib)UPBAG-00008888579 BC-60983 Php7,128.00 DLC BAG rda eng QA 351 A33 2010 Akhmet, Marat author. Principles of discontinuous dynamical systems Marat Akhmet. New York Springer Science+Business Media, LLC 2010. xi, 176 pages illustrations, diagrams 24 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references (pages 167-173) and index. 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. 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. Discontinuous functions. Differentiable dynamical systems. Nonlinear oscillations. FO UPBAG UPBAG-MAIN QA 351 A33 2010 Book