论文部分内容阅读
According to the Herglotz variational principle and differential variational principle of Herglotz type,we study the adiabatic invariants for a non-conservative nonholonomic system.Firstly,the differential equations of motion of the non-conservative nonholonomic system based upon the generalized variational principle of Herglotz type are given,and the exact invariant for the non-conservative nonholonomic system is introduced.Secondly,a new type of adiabatic invariant for the system under the action of a small perturbation is obtained.Thirdly,the inverse theorem of the adiabatic invariant is given.Finally,an example is given.