The book is dedicated to the construction of particular solutions
of systems of ordinary differential equations in the form of series
that are analogous to those used in Lyapunov's first method. A
prominent place is given to asymptotic solutions that tend to an
equilibrium position, especially in the strongly nonlinear case,
where the existence of such solutions can't be inferred on the
basis of the first approximation alone. The book is illustrated
with a large number of concrete examples of systems in which the
presence of a particular solution of a certain class is related to
special properties of the system's dynamic behavior. It is a book
for students and specialists who work with dynamical systems in the
fields of mechanics, mathematics, and theoretical physics.
General
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