首页> 中文期刊> 《中国科学》 >Techniques for searching first integrals by Lie group and application to gyroscope system

Techniques for searching first integrals by Lie group and application to gyroscope system

         

摘要

[1]Arnold, V. I., Dynamical Systems Ⅲ, New York: Springer-Verlag, 1988, 120.[2]Arnold, V. I., Kozlov, V. V., Neishtadt, A. I., Mathematical Aspects of Classical and Celestial Mechanics, 2nd ed.,New York: Springer-Verlag, 1997, 120.[3]Arnold, V. I., Mathematical Methods of Classical Mechanics, 2nd ed., New York: Springer-Verlag, 1989.[4]Olver, P. J., Applications of Lie Groups to Differential Equations, 2nd ed., New York: Springer-Verlag, 1989.[5]Bluman, G. W., Kumei, S., Symmetrics and Differential Equations, 2nd ed., New York: Springer-Verlag, 1989.[6]Guan, K. Y, Liu, S, Lei, J. Z., The Lie algebra admitted by an ordinary differential equation system, Ann. of Diff.Eqs., 1998, 14(2): 131-142.[7]Mei, F. X., Liu, R., Luo, Y., Advanced Analytical Mechanics (in Chinese), Beijing: Beijing Institute of Technology University Press, 1991.[8]Hagihara, Y., Machanics, C., Vol. Ⅰ: Dynamical Principles and Transformation Theory, Boston: The MIT (Massachusettes Institute of Technology) Press, 1976.[9]Cooke, R., The Mathematics of Sonya Kovalevskaya, New York: Springer-Verlag, 1984.[10]Kovalevsky, S., Sur le problème de la rotayion d'un corps solide autour d'un point fixe, Acta Mathematica, 1889,12: 177-232.[11]McCauley, J. L., Classical Mechanics, London: Cambridge University Press, 1997, 238.[12]Guan, K. Hu, Y. X., Generalized Homogeneous Autonomous Systems and Kovalevskaya Gyroscope, toappear.[13]see footnote on p. 1136.

著录项

相似文献

  • 中文文献
  • 外文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号