This article is cited in 2 papers

Construction of the first integrals for a special class of nonlinear systems

A. A. Kosov^a, A. V. Sinitsyn<sup>b

a</sup> Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (ISD&CT SB RAS); Post Box 292, 134, Lermontov Str., Irkutsk, 664033, Russia
^b Universidad Nacional de Colombia, Bogota, Colombia

Abstract: Existence conditions of the first integrals of a certain type for a class of nonlinear systems including vacuum diode model and its generalizations are obtained. The integrability of these diode models is justified.

Keywords: unresolved systems, first integrals, integrability, vacuum diode.

UDC: 517.9