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Flame retardant materials are of vital importance in guaranteeing
personal security. Especially the demand for non-toxic, low
smoking, polymerized flame retardants increases and new materials
enter the market. The authors present the fundamental theory of
polymer combustion, compare different flame retardants, describe
smoke suppression mechanisms, and explain analyzing techniques for
new materials.
This book concisely expounds the fundamental concepts, phenomena,
theories and procedures in a complete and systematic sense. In this
book, not only almost all the important achievements from
predecessors but also the contributions from the author himself
have been summed up profoundly. Starting from the derivation of
fundamental equations, various classical acoustical phenomena such
as reflection, refraction, scattering diffraction and absorption in
atmosphere, as well as the influences of gravitation and rotation
of the earth on the behaviors of different atmospheric waves
including acoustic waves, have been discussed in viewpoints of wave
acoustics and geometrical acoustics respectively. The recent
developments of several computation methods in the field of
atmospheric acoustics have been introduced in some detail. As for
the application aspects, atmospheric remote sensing has been
discussed from the angle of inverse problems.
In 2008, November 23-28, the workshop of "Classical Problems on
Planar Polynomial Vector Fields " was held in the Banff
International Research Station, Canada. Called "classical
problems", it was concerned with the following: (1) Problems on
integrability of planar polynomial vector fields. (2) The problem
of the center stated by Poincare for real polynomial differential
systems, which asks us to recognize when a planar vector field
defined by polynomials of degree at most n possesses a singularity
which is a center. (3) Global geometry of specific classes of
planar polynomial vector fields. (4) Hilbert's 16th problem. These
problems had been posed more than 110 years ago. Therefore, they
are called "classical problems" in the studies of the theory of
dynamical systems. The qualitative theory and stability theory of
differential equations, created by Poincare and Lyapunov at the end
of the 19th century, had major developments as two branches of the
theory of dynamical systems during the 20th century. As a part of
the basic theory of nonlinear science, it is one of the very active
areas in the new millennium. This book presents in an elementary
way the recent significant developments in the qualitative theory
of planar dynamical systems. The subjects are covered as follows:
the studies of center and isochronous center problems, multiple
Hopf bifurcations and local and global bifurcations of the
equivariant planar vector fields which concern with Hilbert's 16th
problem. The book is intended for graduate students, post-doctors
and researchers in dynamical systems. For all engineers who are
interested in the theory of dynamical systems, it is also a
reasonable reference. It requires a minimum background of a
one-year course on nonlinear differential equations.
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