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.