The Symmetry and Conserved Quantity for Singular Lagrangian Systems on Time Scales
SONG Chuanjing;ZHANG Yi;School of Mathematics & Physics,Suzhou University of Science and Technology;College of Civil Engineering,Suzhou University of Science and Technology;
Noether symmetry and conserved quantity for singular Lagrangian system on time scales are studied. Firstly,the differential equations of motion on time scales for singular Lagrangian system are presented. Secondly,the definitions and criteria of Noether symmetry and Noether quasi-symmetry for this system are studied. Lastly,conserved quantities deduced from Noether symmetry and Noether quasi-symmetry are obtained for singular Lagrangian system on time scales. And an example is given to illustrate the results.