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Nonshifted Adiabatic Invariant on Time Scale

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Three aspects which include differential equation of motion,Noether symmetry and conserved quantity,perturbation to Noether symmetry and adiabatic invariant are investigated for the nonshifted Birkhoffian system,nonshifted Hamiltonian system and nonshifted Lagrangian system,respectively.Then,some relationships among the three mechanic systems and some special cases of the main results are presented.Finally,an example is given to illustrate the application of the methods and results.

time scaleconserved quantityadiabatic invariantBirkhoffian systemHamiltonian systemLagrangian system

SONG Chuanjing

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School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China

Department of Mechanical Engineering and Energy Processes,Southern Illinois University, Carbondale, Illinois 62901, USA

Supported by the National Natural Science Foundation of ChinaSupported by the National Natural Science Foundation of ChinaSupported by the National Natural Science Foundation of ChinaNatural Science Foundation of Jiangsu ProvinceNatural Science Foundation of the Jiangsu Higher Education Institutions of ChinaJiangsu Government Scholarship for Overseas Studies,the Science Research Foundation of Suzhou University of Science and TechnoloNatural Science Foundation of Suzhou University of Science and Technology

118021931197224111572212BK2019145418KJB130005331812137

2020

10.19823/j.cnki.1007-1202.2020.0036

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(4)
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