Geometric Dynamics Used in the Study of Mechanical Methods

Abstract

In this paper some methods for obtaining the Lagrange functions are pointed out. These methods can be used in general dynamical systems but they are especially useful in the study of autonomous systems. The obtained Lagrange functions is used in dynamical systems with applications in mechanics.

Dynamic Systems - Applications in Economy and in Technology

“…For this system, the Hurwitz matrix method cannot be applied because of the solutions with null real part [1][2][3]. On the other hand, the prime integral is to be found…”

“…For this differential system, the Hurwitz matrix method cannot be applied because of having solutions with null real part [1][2][3]. For the first approximation system…”