supported by the National Natural Science Foundation of China (Grant No. 10372053)
This paper presents the Mei symmetries and new types of non-Noether conserved quantities for a higher-order nonholonomic constraint mechanical system. On the basis of the form invariance of differential equations of m...
supported by the National Natural Science Foundation of China (Grant No 10372053);the Natural Science Foundation of Henan Province,China (Grant Nos 082300410330 and 082300410370)
This paper discusses in detail the conformal invariance by infinitesimal transformations of a dynamical system of relative motion. The necessary and sufficient conditions of conformal invariance and Lie symmetry are g...
Project supported by the National Natural Science Foundation of China (Grant No 10372053)
Based on the definition of higher-order adiabatic invariants of a mechanical system, a new type of adiabatic invariants, i.e. generalized Lutzky adiabatic invariants, of a disturbed holonomic nonconservative mechanica...
Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10372053), and Fundamental Research Foundation of Beijing Institute of Technology, China (Grant No BIT-UBF-200507A4206)
In this paper symmetries and conservation laws for stochastic dynamical systems are discussed in detail. Determining equations for infinitesimal approximate symmetries of Ito and Stratonovich dynamical systems are der...