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.
General
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