首页|Canonical Transformations and Poisson Theory for Dynamics with Non-Standard Lagrangians
Canonical Transformations and Poisson Theory for Dynamics with Non-Standard Lagrangians
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
万方数据
The canonical transformation and Poisson theory of dynamical systems with exponential,power-law,and logarithmic non-standard Lagrangians are studied,respectively.The criterion equations of canonical transformation are established,and four basic forms of canonical transformations are given.The dynamic equations with non-standard Lagrangians admit Lie algebraic structure.From this,we es-tablish the Poisson theory,which makes it possible to find new conservation laws through known conserved quantities.Some examples are put forward to demonstrate the use of the theory and verify its effectiveness.
non-standard Lagrangiansdynamical equationscanonical transformationPoisson theory
ZHU Lin、ZHANG Yi
展开 >
School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu,China
School of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,Jiangsu,China
National Natural Science Foundation of ChinaNational Natural Science Foundation of China
NETL
NSTL
万方数据
