On the stability by the first approximation of Lyapunov characteristic exponents in critical cases

被引:0
|
作者
T. M. Aldibekov
M. M. Aldazharova
机构
[1] Kazakh National University,
来源
Differential Equations | 2014年 / 50卷
关键词
Lyapunov Exponent; Small Neighborhood; Trivial Solution; Exponential Stability; Critical Case;
D O I
暂无
中图分类号
学科分类号
摘要
In terms of generalized Lyapunov exponents, we prove an analog of the Lyapunov theorem on the stability by the first approximation for the case in which the upper exponent is zero.
引用
收藏
页码:1384 / 1388
页数:4
相关论文
共 50 条
  • [21] Lyapunov exponents and stability in interval maps
    Koçak H.
    Palmer K.
    SeMA Journal, 2010, 51 (1): : 79 - 82
  • [22] Characteristic distributions of finite-time Lyapunov exponents
    Prasad, A
    Ramaswamy, R
    PHYSICAL REVIEW E, 1999, 60 (03): : 2761 - 2766
  • [23] Computation of Lyapunov characteristic exponents for continuous dynamical systems
    Udwadia, FE
    von Bremen, HF
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2002, 53 (01): : 123 - 146
  • [24] Computation of Lyapunov characteristic exponents for continuous dynamical systems
    F. E. Udwadia
    H. F. von Bremen
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 2002, 53 : 123 - 146
  • [25] Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents
    Ochs, G
    DYNAMICS AND STABILITY OF SYSTEMS, 1999, 14 (02): : 183 - 201
  • [26] On the reliability of computation of maximum Lyapunov characteristic exponents for asteroids
    Knezevic, Zoran
    Ninkovic, Slobodan
    DYNAMICS OF POPULATIONS OF PLANETARY SYSTEMS, 2005, 197 : 187 - 194
  • [27] COMPUTATION OF LYAPUNOV CHARACTERISTIC EXPONENTS USING PARALLEL COMPUTING
    von Bremen, Hubertus F.
    Bonilla, Michael J.
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2017, VOL 4B, 2018,
  • [28] Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents
    Institut für Dynamische Systeme, Universität Bremen, PF 330 440, 28334 Bremen, Germany
    Dyn. Syst., 2 (182-201):
  • [29] Tiltrotor Whirl-Flutter Stability Investigation using Lyapunov Characteristic Exponents and Multibody Dynamics
    Cassoni, Gianni
    Cocco, Alessandro
    Tamer, Aykut
    Zanoni, Andrea
    Masarati, Pierangelo
    48rd European Rotorcraft Forum, ERF 2022, 2022,
  • [30] Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents
    Institut für Dynamische Systeme, Universität Bremen, PF 330 440, 28334 Bremen, Germany
    Dyn Stab Syst, 2 (183-201):