In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

From the reviews:" The reading is very easy and pleasant for the non-mathematician, which
is really noteworthy. The two chapters enunciate the basic principles of the field,... indicate …

This is a study of a dynamical system depending on a parameter κ. Under the assumption
that the system has a family of equilibrium positions or periodic trajectories smoothly …

Let us consider an analytic vector field v defined on a neighbourhood of 0 in R71 and having
there an isolated singular point. We shall say that 0 is a stable singular point if it has a …

The inversion of the Lagrange-Dirichlet theorem is proved under the hypothesis that the
potential function U of the acting force is h-differentiable, h> 3, and the lack of a local …

The motions of natural mechanical systems which tend to an equilibrium position as time
increases without limit are studied. The degenerate case when several frequencies of small …

Instability is studied for a mechanical system with two degrees of freedom whose potential
has a non-strict local minimum at the origin. Under suitable conditions of smoothness it is …

In the past decade the generalized Riemann integral, introduced by Henstock ([5]) and
Kurzweil ([9]) some thirty years ago, has been elaborated on extensively in order to obtain …

In this paper we study mechanical systems with 2 degrees of freedom. Let the position of the
system at time t be (x (t), y (t)). Let the kinetic energy be T=+[qti (t)+ m $(t)] and the potential …