  In this review, we present some advanced algorithms and programs used in our
scientific school with short description of types of astrophysical systems,
which we study. However, we discuss mainly mathematical methods, which may be
applied to analysis of signal of any nature - in computer science, engineering,
economics, social studies, decision making etc. The variety of types of signals
need a diversity of adequate complementary specific methods, in an addition to
common algorithms. As an example, one may refer to vibrations, stability of
mechanisms. Many mathematical equations are common in Science, Technics and
Humanities.
