[1] |
Neimark J I and Fufaev N A 1972 Dynamics of nonholonomic systems (Rhode Island: American Mathematical Society) pp. 3-6
|
[2] |
Mei F X 1990 Advanced analytical mechanics (Beijing: Beijing Institute of Technology Press) pp. 1-12 (in Chinese)
|
[3] |
Chen B 2012 Analytical dynamics, Vol. 2 (Beijing: Peking University Press) pp. 5-86 (in Chinese)
|
[4] |
Xu X X and Zhang Y 2019 Chin. Phys. B 28 120402
|
[5] |
Jin S X and Zhang Y 2018 Chin. Phys. B 27 020502
|
[6] |
Liu C, Liu S X and Mei F X 2016 Chin. Phys. B 25 124501
|
[7] |
Liu S X, Liu C, Hua W and Guo Y X 2016 Chin. Phys. B 25 114501
|
[8] |
Zhang F, Li W, Zhang Y Y, Xue X C and Jia L Q 2014 Acta Phys. Sin. 63 164501 (in Chinese)
|
[9] |
Zhao G L, Chen L Q, Fu J L and Hong F Y 2013 Chin. Phys. B 22 030201
|
[10] |
Song D, Liu C and Guo Y X 2013 Acta Phys. Sin. 62 094501 (in Chinese)
|
[11] |
Wu H B and Mei F X 2010 Chin. Phys. B 19 030303
|
[12] |
Bloch A M, Baillieul J, Crouch P and Marsden J E 2003 Nonholonomic Mechanics and Control (London: Springer) pp. 207-439
|
[13] |
Bullo F and Lewis A D 2005 Geometric Control of Mechanical Systems (New York: Springer) pp. 198-246
|
[14] |
Haddout S 2018 J. Geom. Phys. 123 495
|
[15] |
Zhang Y W, Wang J H, Xu Y and Yang D D 2019 Chin. Phys. B 28 030501
|
[16] |
Xu Z Y, Wang Q and Wang Q Y 2017 Appl. Math. Mech. Engl. Ed. 38 1733
|
[17] |
Chen J and Zhang Y 2015 Acta Phys. Sin. 64 034502 (in Chinese)
|
[18] |
Wu H B and Mei F X 2014 Appl. Math. Mech. 35 1293
|
[19] |
Fric B, Porez M and Mauny J 2017 J. Nonlinear Sci. 28 943
|
[20] |
Jorge C M 2002 Lec. Notes Math. 52 673
|
[21] |
Chitour Y, Molina M G, Kokkonen P and Markina I 2016 J. Geom. Anal. 26 2542
|
[22] |
Borisov A V, Kilin A A and Mamaev I S 2018 Regul. Chaotic Dyn. 23 339
|
[23] |
Benito H B 2018 J. Math. Phys. 59 062901
|
[24] |
Chhabra R and Emami M R 2014 Mech. Mach. Theory 82 231
|
[25] |
Mei F X 2013 Analytical Mechanics, Vol. 1 (Beijing: Beijing Institute of Technology Press) pp. 272-287 (in Chinese)
|
[26] |
Arnold V I 1978 Mathematical Methods of Classical Mechanics(New York: Spriner-Verlag) pp.161-271
|
[27] |
Westenholtz C N 1981 Differential Forms in Mathematical Physics (Amsterdam: North-Horland Publishing Company) pp. 389-439
|
[28] |
Vitagliano L 2012 Int. J. Geom. Methods Mod. Phys. 9 1260008
|
[29] |
de Len M and Vilari S 2014 Int. J. Geom. Methods Mod. Phys. 11 1450007
|
[30] |
Cambronero J and Javier P A 2019 J. Nonlinear Math. Phys. 26 650
|
[31] |
Wang Y, Mei F X, Xiao J and Guo Y X 2017 Acta Phys. Sin. 66 054501 (in Chinese)
|
[32] |
Xiao J, Liu C and Wang Y 2017 Appl. Math. Mech. 38 708 (in Chinese)
|
[33] |
Feng K and Qin M Z 2010 Symplectic geometric algorithms for Hamiltonian systems (New York: Spriner) pp. 165-212
|
[34] |
Guo Y X, Luo S K and Mei F X 2004 Adv. Mech. 34 477 (in Chinese)
|
[35] |
Mei F X 2013 Analytical Mechanics, Vol. 2 (Beijing: Beijing Institute of Technology Press) pp. 313-316 (in Chinese)
|
[36] |
Hamel G 1904 Z. Math. Phys. 50 1
|
[37] |
Block A M, Marsden J E and Zenkov D V 2009 Dynamical Systems 24 187
|
[38] |
Ball K and Zenkov D V 2015 Fields Institute Communications 73 477
|
[39] |
Crampin M and Mestdag T 2010 Dynamical Systems 25 159
|
[40] |
Wang Y and Guo Y X 2005 Acta Phys. Sin. 54 5517 (in Chinese)
|
[41] |
Wang Y, Guo Y X, Lv Q S and Liu C 2009 Acta Phys. Sin. 58 5142 (in Chinese)
|
[42] |
Wang Y, Liu C, Xiao J and Mei F X 2018 Appl. Math. Mech. Engl. Ed. 39 733
|
[43] |
Wang Y, Wu X D and Cao H Y 2019 J. Dyn. Control 17 1672
|
[44] |
Ohsawa T, Fermandez O E, Bloch A M and Zenkov D V 2011 J. Geom. Phys. 61 1263
|
[45] |
Bizyaev I A, Borisov A V and Mamaev I S 2015 Russ. J. Math. Phys. 22 444
|
[46] |
Balseiro P 2017 J. Nonlinear Sci. 27 2001
|
[47] |
Kleinert H 1990 Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets, 4th edn. (Singapore: World Scientific) pp. 1-88
|
[48] |
Kleinert H 1989 Gauge Fields in Condensed Matters II: Stresses and Defects (Singapore: World Scientific) pp. 1333-1433
|
[49] |
Kleinert H and Pelster A 1999 Gen. Relat. Gravit. 31 1439
|
[50] |
Kleinert H and Shabanov S V 1998 J. Phys. A: Math. Gen. 31 7005
|
[51] |
Shabanov S V 1998 J. Phys. A: Math. Gen. 31 5177
|
[52] |
Wang Y 2002 Construction of Riemann Cartan spaces and its application in the study of constrained systems, MS Thesis (Shenyang: Liaoning University) (in Chinese)
|
[53] |
Guo Y X, Wang Y, Chee Y G and Mei F X 2005 J. Math. Phys. 45 062902
|
[54] |
Guo Y X, Liu S X, Liu C, Luo S K and Wang Y 2007 J. Math. Phys. 48 082901
|
[55] |
Guo Y X, Liu C, Wang Y, Liu S X and Chang P 2010 Sci. China Phys. Mech. 2010 1707
|