Integrals of generalized Hamilton systems with additional terms

doi:10.1088/1009-1963/14/9/004

Abstract

Abstract Two kinds of integrals of generalized Hamilton systems with additional terms are discussed. One kind is the integral deduced by Poisson method; the other is Hojman integral obtained by Lie symmetry.

Received: 04 March 2005
Revised: 04 April 2005
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation (Grant No 10272021) and Doctoral Programme Foundation of Institute of Higher Education of China (Grant No 20040007022).

Cite this article:

Shang Mei (尚玫), Mei Feng-Xiang (梅凤翔) Integrals of generalized Hamilton systems with additional terms 2005 Chinese Physics 14 1707

[1]	Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems Beibei Zhu(朱贝贝), Lun Ji(纪伦), Aiqing Zhu(祝爱卿), and Yifa Tang(唐贻发). Chin. Phys. B, 2023, 32(2): 020204.
[2]	Measure synchronization in hybrid quantum-classical systems Haibo Qiu(邱海波), Yuanjie Dong(董远杰), Huangli Zhang(张黄莉), and Jing Tian(田静). Chin. Phys. B, 2022, 31(12): 120503.
[3]	On superintegrable systems with a position-dependent mass in polar-like coordinates Hai Zhang(章海)†. Chin. Phys. B, 2020, 29(10): 100201.
[4]	Quasi-canonicalization for linear homogeneous nonholonomic systems Yong Wang(王勇), Jin-Chao Cui(崔金超), Ju Chen(陈菊), Yong-Xin Guo(郭永新). Chin. Phys. B, 2020, 29(6): 064501.
[5]	Discrete symmetrical perturbation and variational algorithm of disturbed Lagrangian systems Li-Li Xia(夏丽莉), Xin-Sheng Ge(戈新生), Li-Qun Chen(陈立群). Chin. Phys. B, 2019, 28(3): 030201.
[6]	Noether symmetry and conserved quantity for dynamical system with non-standard Lagrangians on time scales Jing Song(宋静), Yi Zhang(张毅). Chin. Phys. B, 2017, 26(8): 084501.
[7]	Fully nonlinear (2+1)-dimensional displacement shallow water wave equation Feng Wu(吴锋), Zheng Yao(姚征), Wanxie Zhong(钟万勰). Chin. Phys. B, 2017, 26(5): 054501.
[8]	Methods of reduction for Lagrange systems on time scaleswith nabla derivatives Shi-Xin Jin(金世欣), Yi Zhang(张毅). Chin. Phys. B, 2017, 26(1): 014501.
[9]	Stability analysis of a simple rheonomic nonholonomic constrained system Chang Liu(刘畅), Shi-Xing Liu(刘世兴), Feng-Xing Mei(梅凤翔). Chin. Phys. B, 2016, 25(12): 124501.
[10]	Generalized Birkhoffian representation of nonholonomic systems and its discrete variational algorithm Shixing Liu(刘世兴), Chang Liu(刘畅), Wei Hua(花巍), Yongxin Guo(郭永新). Chin. Phys. B, 2016, 25(11): 114501.
[11]	An application of a combined gradient system to stabilize a mechanical system Xiang-Wei Chen(陈向炜), Ye Zhang(张晔), Feng-Xiang Mei(梅凤翔). Chin. Phys. B, 2016, 25(10): 100201.
[12]	Birkhoffian symplectic algorithms derived from Hamiltonian symplectic algorithms Xin-Lei Kong(孔新雷), Hui-Bin Wu(吴惠彬), Feng-Xiang Mei(梅凤翔). Chin. Phys. B, 2016, 25(1): 010203.
[13]	Two kinds of generalized gradient representationsfor holonomic mechanical systems Feng-Xiang Mei(梅凤翔) and Hui-Bin Wu(吴惠彬). Chin. Phys. B, 2016, 25(1): 014502.
[14]	Dynamics of two polarized nanoparticles Duan Xiao-Yong (段晓勇), Wang Zhi-Guo (王治国). Chin. Phys. B, 2015, 24(11): 118106.
[15]	Skew-gradient representation of generalized Birkhoffian system Mei Feng-Xiang (梅凤翔), Wu Hui-Bin (吴惠彬). Chin. Phys. B, 2015, 24(10): 104502.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Integrals of generalized Hamilton systems with additional terms

Cite this article:

Online attention