Particular solutions of the Hamilton–Jacobi equation and their usage


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We show the possibility of using particular solutions of the Hamilton–Jacobi equation in problems of qualitative analysis of Lagrangian systems with cyclic first integrals. We present a procedure for finding and studying invariant manifolds of such systems. The efficiency of the suggested approach is illustrated by examples of the solution of specific problems.

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V. Irtegov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences

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Email: irteg@icc.ru
俄罗斯联邦, Irkutsk

T. Titorenko

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences

Email: irteg@icc.ru
俄罗斯联邦, Irkutsk

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