Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm |
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| Affiliation: | 1.College of Physics, Liaoning University, Shenyang 110036, China;2.College of Physics and Technology, Shenyang Normal University, Shenyang 110034, China;3.Eastern Liaoning University, Dandong 118001, China |
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| Abstract: | ![]()
By using the discrete variational method, we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework, and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm. Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework. |
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| Keywords: | nonholonomic system generalized Birkhoffian system conditions of self-adjointness self-adjoint-preserving algorithm |
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