Project supported by the National Natural Science Foundation of China (Grant Nos. 11072218 and 60575055)
This paper presents extensions to the traditional calculus of variations for mechanico-electrical systems containing fractional derivatives. The Euler Lagrange equations and the Hamilton formalism of the mechanico-ele...
supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055)
We investigate Noether symmetries and conservation laws of the discrete mechanico-electrical systems with nonregular lattices.The operators of discrete transformation and discrete differentiation to the right and left...
supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055)
We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation v...
supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055)
In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinite...
supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055)
We investigate Noether symmetries and conservation laws of the discrete nonconserved systems with nonregular lattices. The operators of discrete transformation and discrete differentiation to the right and left are in...
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055)
The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation ot concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentrati...
Project supported by the National Natural Science Foundation of China (Grants Nos 10672143 and 60575055);State Key Laboratory of Scientific and Engineering Computing,Chinese Academy of Sciences;Tang Yi-Fa acknowledges the support under Sabbatical Program (SAB2006-0070) of the Spanish Ministry of Education and Science;Jimnez S and Vzquez L acknowledge support of the Spanish Ministry of Education and Science (Grant No MTM2005-05573)
This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems,which leave invuriant the set of solutions of the corresponding diffe...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200)
This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton act...
Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200)
A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplec...