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ON THE STABILITY OF EQUILIBRIA OF NONLINEAR NONHOLONOMIC SYSTEMS 被引量:3

ON THE STABILITY OF EQUILIBRIA OF NONLINEAR NONHOLONOMIC SYSTEMS
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摘要 Some achievements have been made on the stability of equilibrium of nonholonomic systems, but all these results do not deal with the nonlinear nonholonomic systems.This note studies the problem of the stability of equilibrium of nonlinear
作者 梅凤翔
出处 《Chinese Science Bulletin》 SCIE EI CAS 1992年第16期1397-1401,共5页
基金 Project supported by the National Natural Science Foundation of China.
关键词 ANALYTICAL MECHANICS NONHOLONOMIC system stability. ANALYTICAL MECHANICS NONHOLONOMIC SYSTEM STABILITY
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  • 1朱海平,梅凤翔.A Relation Between the Stability of a Nonholonomic System With Respect to Partial Variables and All Variables[J].Chinese Science Bulletin,1994,39(13):1081-1085. 被引量:1
  • 2朱海平,梅凤翔.关于非完整力学系统相对部分变量的稳定性[J].应用数学和力学,1995,16(3):225-233. 被引量:8
  • 3Karapetyan A V, Rumyantsev V V. Stability of conservative and dissipative systems[ J]. Itogi Nauki i Tekhniki, Obshchaya Mekh, 1983, 6: 3-128. (in Russian).
  • 4Karapetyan A V. Stability of Steady Motions [ M ]. Moscow: Editorial URSS, 1998: 165. (in Russian).
  • 5Shi R C, Mei F X, Zhu H P. On the stability of the motion of a Birkhoff system[ J ]. Mechanics Research Communications, 1994, 21 ( 3 ) : 259-272.
  • 6Luo S K, Chen X W, Fu J L. Stability theorems for the equilibrium state manifold of non-ho- lonomic systems in a noninertial reference frame [ J ]. Mechanics Research Communication, 2001, 28 (4): 463-469.
  • 7Kozlov V V. On the asymptotic motions of systems with dissipation [ J ]. Journal of Applied Mathematics and Mechanics, 1994, 58(5) : 787-792.
  • 8Kozlov V V, Furta S D. Asymptotics of Solutions for Strongly Nonlinear Systems of Differen- tial Equations[M]. Regular and Chaotic Dynamics. Moscow-Izhevsk: Institute of Computer Science, 2009 : 312. (in Russian).
  • 9Kozlov V V, Furta S D. Lyapunov' s first method for strongly non-linear systems[ JJ. Journal of Applied Mathematics and Mechanics, 1996, 60( 1 ) :7-18. (in Russian).
  • 10Neimark J I, Fufaev N A. Dynamics of Nonholonomic Systems [ M ]. Providence, Rhode Island: Am Math Society, 1972.

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