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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0378-4347(91)80364-i

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1573-269X

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Noether theorem for nonconservative systems with

Authors: ShiXin Jin Yi Zhang
Publish Date: 2015/06/02
Volume: 82, Issue: 1-2, Pages: 663-676
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Abstract

In this paper we focus on discussing the fractional Noether symmetries and fractional conserved quantities for nonconservative Hamilton system with time delay Firstly the fractional Hamilton canonical equations of nonconservative system with time delay are established secondly based upon the invariance of the fractional Hamilton action with time delay under the infinitesimal transformations of group we obtain the definitions and criterion of fractional Noether symmetric transformations fractional Noether quasisymmetric transformations and fractional generalized Noether quasisymmetric transformations in phase space finally the relationship between the fractional Noether symmetries and fractional conserved quantities with time delay in phase space is established At the end of the paper some examples are given to illustrate the application of the results

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