In this paper,we prove that for holonomic nonconservative dynamical system the Poincareand Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants ofPoincaré Cartan’s type and of Poincaré’s type for holonomie noneonservative dynamical systems,and usethese variants to solve the problem of nonlinear vibration.We also prove that the integral invariants intro-duced in references[1]and[2]are merely the basic integral variants given by this paper.
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