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Dynamical Systems and Nonlinear Waves in Plasmas (Hardcover)
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Dynamical Systems and Nonlinear Waves in Plasmas (Hardcover)
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Dynamical systems and Nonlinear Waves in Plasmas is written in a
clear and comprehensible style to serve as a compact volume for
advanced postgraduate students and researchers working in the areas
of Applied Physics, Applied Mathematics, Dynamical Systems,
Nonlinear waves in Plasmas or other nonlinear media. It provides an
introduction to the background of dynamical systems, waves,
oscillations and plasmas. Basic concepts of dynamical systems and
phase plane analysis for the study of dynamical properties of
nonlinear waves in plasmas are presented. Different kinds of waves
in plasmas are introduced. Reductive perturbative technique and its
applications to derive different kinds of nonlinear evolution
equations in plasmas are discussed. Analytical wave solutions of
these nonlinear evolution equations are presented using the concept
of bifurcation theory of planar dynamical systems in a very simple
way. Bifurcations of both small and arbitrary amplitudes of various
nonlinear acoustic waves in plasmas are presented using phase plots
and time-series plots. Super nonlinear waves and its bifurcation
behaviour are discussed for various plasma systems. Multiperiodic,
quasiperiodic and chaotic motions of nonlinear plasma waves are
discussed in presence of external periodic force. Multistability of
plasma waves is investigated. Stable oscillation of plasma waves is
also presented in dissipative plasmas. The book is meant for
undergraduate and postgraduate students studying plasma physics. It
will also serve a reference to the researchers, scientists and
faculties to pursue the dynamics of nonlinear waves and its
properties in plasmas. It describes the concept of dynamical
systems and is useful in understanding exciting features, such as
solitary wave, periodic wave, supernonlinear wave, chaotic,
quasiperiodic and coexisting structures of nonlinear waves in
plasmas. The concepts and approaches, discussed in the book, will
also help the students and professionals to study such features in
other nonlinear media.
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