Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes

W. A. Jiang*, K. Liu, G. L. Zhao, M. Chen

*此作品的通讯作者

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10 引用 (Scopus)

摘要

This paper is concerned with adiabatic invariants, applied to Noether symmetrical perturbation of disturbed non-material volumes. The disturbed equation of non-material volumes is proposed, the identity of Noether symmetry for the disturbed system is described, and the corresponding Noether exact invariant is derived. The perturbation to the Noether symmetry and adiabatic invariant for non-material volumes is employed by introducing the concept of adiabatic invariant. The Noether identity of symmetrical perturbation for the disturbed non-material volumes is reported, and Noether adiabatic invariant is obtained. Two examples are given to illustrate the application of the method, and the corresponding exact invariant and adiabatic invariant are obtained under the Noether symmetrical transformations.

源语言英语
页(从-至)4771-4778
页数8
期刊Acta Mechanica
229
12
DOI
出版状态已出版 - 1 12月 2018

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