Showing papers by "University of Patras published in 1968"
TL;DR: In this paper, it is reiterated that any suggestion of the existence of a third integral is at variance with Poincare's theorem on the non-existence of such integrals, and that even in a purely numerical approach no form of a new 'integral' can be constructed that is valid in every domain of the phase space; and it is devoid of meaning to use as a 'third integral' different forms of functions in various cases.
Abstract: It is reiterated that any suggestion of the existence of a ‘third integral’ is at variance with Poincare's theorem on the non-existence of such integrals. Even in a purely numerical approach no form of a new ‘integral’ can be constructed that is valid in every domain of the phase space; and it is devoid of meaning to use as a ‘third integral’ different forms of functions in various cases.