Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems

被引：27
|
作者：
Aniszewska, Dorota [1 ]
Rybaczuk, Marek [1 ]
机构：
[1] Wroclaw Univ Technol, Inst Mat Sci & Appl Mech, PL-50370 Wroclaw, Poland
来源：
NONLINEAR DYNAMICS | 2008年 / 54卷 / 04期
关键词：
Multiplicative calculus; Lyapunov stability; Lyapunov exponent;
D O I：
10.1007/s11071-008-9333-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents analysis of Lyapunov type stability for multiplicative dynamical systems. It has been formally defined and numerical simulations were performed to explore nonlinear dynamics. Chaotic behavior manifested for exemplary multiplicative dynamical systems has been confirmed by calculated Lyapunov exponent values.
引用
收藏
页码：345 / 354
页数：10
相关论文
共 50 条
  • [1] Lyapunov type stability and Lyapunov exponent for exemplary multiplicative dynamical systems
    Dorota Aniszewska
    Marek Rybaczuk
    Nonlinear Dynamics, 2008, 54 : 345 - 354
  • [2] Lyapunov exponent of random dynamical systems on the circle
    Malicet, Dominique
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (06) : 2080 - 2107
  • [3] The largest Lyapunov exponent of dynamical systems with time delay
    Stefanski, A
    Kapitaniak, T
    Dabrowski, A
    IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics, 2005, 122 : 493 - 500
  • [4] Lyapunov stability and attraction in dynamical systems
    Beijing Univ of Aeronautics and, Astronautics, Beijing, China
    Beijing Hangkong Hangtian Daxue Xuebao, 5 (618-622):
  • [5] Lyapunov stability and orbital stability of dynamical systems
    Kalitin, BS
    DIFFERENTIAL EQUATIONS, 2004, 40 (08) : 1096 - 1105
  • [6] Lyapunov Stability and Orbital Stability of Dynamical Systems
    B. S. Kalitin
    Differential Equations, 2004, 40 : 1096 - 1105
  • [7] The instantaneous Lyapunov exponent and its application to chaotic dynamical systems
    Shin, K
    Hammond, JK
    JOURNAL OF SOUND AND VIBRATION, 1998, 218 (03) : 389 - 403
  • [8] Evaluation of the largest Lyapunov exponent in dynamical systems with time delay
    Stefanski, A
    Dabrowski, A
    Kapitaniak, T
    CHAOS SOLITONS & FRACTALS, 2005, 23 (05) : 1651 - 1659
  • [9] Lyapunov Exponent based Stability Assessment of Power Systems
    Amiri, Mojtaba
    Dehghani, Maryam
    Khayatian, Alireza
    Mohammadi, Mohsen
    2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION AND AUTOMATION (ICCIA), 2019, : 281 - +
  • [10] ON THE LYAPUNOV STABILITY THEORY FOR IMPULSIVE DYNAMICAL SYSTEMS
    Bonotto, Everaldo Mello
    Souto, Ginnara M.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2019, 53 (01) : 127 - 150
12345