Generalized Chaplygin equations for nonholonomic systems on time scales

doi:10.1088/1674-1056/27/2/020502

Abstract The generalized Chaplygin equations for nonholonomic systems on time scales are proposed and studied. The Hamilton principle for nonholonomic systems on time scales is established, and the corresponding generalized Chaplygin equations are deduced. The reduced Chaplygin equations are also presented. Two special cases of the generalized Chaplygin equations on time scales, where the time scales are equal to the set of real numbers and the integer set, are discussed. Finally, several examples are given to illustrate the application of the results.

Keywords: nonholonomic system generalized Chaplygin equations time scales

Received: 15 July 2017
Revised: 19 October 2017
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	11.10.Ef	(Lagrangian and Hamiltonian approach)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11572212 and 11272227) and the Innovation Program for Postgraduate in Higher Education Institutions of Jiangsu Province, China (Grant No. KYLX16-0414).

Corresponding Authors: Yi Zhang
E-mail: zhy@mail.usts.edu.cn

About author: 05.45.-a; 11.10.Ef; 02.30.Hq

Cite this article:

Shi-Xin Jin(金世欣), Yi Zhang(张毅) Generalized Chaplygin equations for nonholonomic systems on time scales 2018 Chin. Phys. B 27 020502

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