First Integrals of Discrete System Based on the Principle of Jourdain

Ning Zhang; Gang Ling Zhao

doi:10.4028/www.scientific.net/AMR.479-481.711

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First Integrals of Discrete System Based on the Principle of Jourdain

Abstract:

In this paper, we investigate first integrals of discrete dynamical systems with the variational principle of Jourdain. The operators of discrete transformation are introduced for the system. Based on the Jourdainian generalized variational formula, we derive the discrete analog of Noether-type identity, and then we obtain the first integrals of discrete dynamical system. We discuss an example to illustrate these results.