[1] Neimark, J. I. and Fufaev, N. A. Dynamics of Nonholonomic Systems, AMS, Providence, Rhode Island (1972)
[2] Mei, F. X. Foundations of Mechanics of Nonholonomic Systems (in Chinese), Beijing Institute of Technology Press, Beijing (1985)
[3] Bloch, A. M., Krishnaprasad, P. S., Marsden, J. E., and Murray, R. M. Nonholonomic mechanical systems with symmetry. Archive for Rational Mechanics and Analysis, 136(1), 21-99 (1996)
[4] Papastavridis, J. G. A panoramic overview of the principles and equations of motion of advanced engineering dynamics. Applied Mechanics Reviews, 51(4), 239-265 (1998)
[5] Ostrovskaya, S, and Angels, J. Nonholonomic systems revisited within the framework of analytical mechanics. Applied Mechanics Reviews, 51(7), 415-433 (1998)
[6] Mei, F. X. Nonholonomic mechanics. Applied Mechanics Reviews, 53(11), 283-305 (2000)
[7] Guo, Y. X., Luo, S. K., and Mei, F. X. Progress of geometric dynamics of non-holonomic con- strained mechanical systems: Lagrange theory and others (in Chinese). Advances in Mechanics, 34(4), 477-492 (2004)
[8] Zegzhda, S. A., Soltakhanov, S. K., and Yushkov, M. P. Equations of motion of nonholonomic systems and variational principles of mechanics (in Russian). New Kind of Control Problems, FIMATLIT, Moscow (2005)
[9] Mei, F. X. Form invariance of Lagrange system. Journal of Beijing Institute of Technology, 9(2), 120-124 (2000)
[10] Wang, S. Y. and Mei, F. X. Form invariance and Lie symmetry of equations of non-holonomic systems. Chinese Physics, 11(1), 5-8 (2002)
[11] Zhang, H. B. and Gu, S. L. Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints. Chinese Physics, 11(8), 765-770 (2002)
[12] Mei, F. X. and Zhang, Y. Form invariance for systems of generalized classical mechanics. Chinese Physics, 12(10), 1058-1061 (2003)
[13] Wu, H. B. Lie-form invariance of the Lagrange system. Chinese Physics, 14(3), 452-454 (2005)
[14] Lou, Z. M. The parametric orbits and the form invariance of three-body in one-dimension. Chinese Physics, 14(4), 660-662 (2005)
[15] Jia, L. Q., Yu, H. S., and Zheng, S. W. Mei symmetry of Tzénoff equations of holonomic system. Chinese Physics, 15(7), 1399-1402 (2006)
[16] Luo, S. K. Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system (in Chi- nese). Acta Physica Sinica, 52(12), 2941-2944 (2003)
[17] Peng, Y., Liao, Y. P., and Fang, J. H. On Mei symmetry of Lagrangian system and Hamiltonian system (in Chinese). Acta Physica Sinica, 54(2), 496-499 (2005)
[18] Fu, J. L., Liu, H. J., and Tang, Y. F. A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems. Chinese Physics, 16(3), 599-604 (2007)
[19] Mei, F. X. Equations of motion for weak nonholonomic systems and their approximate solution (in Chinese). Journal of Beijing Institute of Technology, 9(3), 10-17 (1989)
[20] Mei, F. X. Canonical transformation for weak nonholonomic systems. Chinese Science Bulletin, 38(4), 281-285 (1993)
[21] Mei, F. X. On the stability of one type of weakly nonholonomic systems (in Chinese). Journal of Beijing Institute of Technology, 15(3), 237-242 (1995)
[22] Mei, F. X. Symmetries and Conserved Quantities of Constrained Mechanical Systems (in Chinese), Beijing Institute of Technology Press, Beijing (2004) |