On the Lyapunov quantities of two-dimensional autonomous systems of differential equations with a critical point of centre or focus type


Alexandru Șuba


Abstract

carpathian_1997_13_153_170_abstract

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carpathian_1997_13_153_170

Analytical two-dimensional system of differential equations with a weak focus are considered. It is shown how by using a given sequence of humogenous polynomials of even degree one can construct a function with the rate of change along trajectories of system to be a linear combination of them polynomials. The coefficiente of this linear combination are the Lyapunov quantities.

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Șubă, Alexandru