Algorithms for investigations of nonlinear systems with first integrals
The paper presents the results of qualitative analysis [Poincare A., 1947] of conservative systems. The modified Routh-Lyapunov technique is used as a tool for their study. Special attention is paid to the algorithms of finding and the analysis of invariant manifolds on which the elements of algebra of problem’s first integrals assume a stationary value.
CYBERNETICS AND PHYSICS, Vol. 6, No. 4, pp.222-230