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Catalogue Information
Field name	Details
Dewey Class	515.39
Dewey Class	515.48
Title	Principles of Discontinuous Dynamical Systems ([Ebook]) / by Marat Akhmet.
Author	Akhmet, Marat
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2010.
Physical Details	XII, 180 pages : 40 illus., 20 illus. in color. : online resource.
ISBN	9781441965813
Summary Note	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.:
Contents note	Introduction -- 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 -- Non-Autonomous Systems with Variable Moments of Impulses -- Differentiability Properties of Non-Autonomous Systems -- Periodic Solutions of Nonlinear Systems -- Discontinuous Dynamical Systems -- Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle -- Chaos and Shadowing -- Bibliography.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-6581-3
Links to Related Works	Subject References: Differentiable dynamical systems . Differential equation . Differential equations, Partial . Discontinuous functions . Discontinuous groups . Dynamical systems and ergodic theory . Ordinary differential equations . Partial differential equations . Authors: Akhmet, Marat . Corporate Authors: SpringerLink (Online service) . Classification: 515.39 . 515.48 . 515.39 (DDC 23) .

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Principles of Discontinuous Dynamical Systems

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