In this paper,we prove that for holonomic nonconservative dynamical system the Poincare and Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants of Poincaré Car...In this paper,we prove that for holonomic nonconservative dynamical system the Poincare and Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants of Poincaré Cartan's type and of Poincaré's type for holonomie noneonservative dynamical systems,and use these 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.展开更多
基金Project supported by National Natural Science Foundation of China
文摘In this paper,we prove that for holonomic nonconservative dynamical system the Poincare and Poincaré-Cartan integral invariants do not exist.Instead of them,we introduce the integral variants of Poincaré Cartan's type and of Poincaré's type for holonomie noneonservative dynamical systems,and use these 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.
