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

页码：345 / 354

页数：10

共 50 条

[41] Stability analysis in nuclear reactor using Lyapunov exponent
Khoda-bakhsh, R.
Behnia, S.
Jahanbakhsh, O.
ANNALS OF NUCLEAR ENERGY, 2008, 35 (07) : 1370 - 1372
[42] LYAPUNOV-STABILITY CLASSES OF DYNAMICAL-SYSTEMS OF PERTURBED MOTION
SHCHERBAKOV, BA
DIFFERENTIAL EQUATIONS, 1981, 17 (12) : 1395 - 1398
[43] On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
Hou, Ling
Michel, Anthony N.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (04) : 1021 - 1029
[44] Analysis of Lyapunov-Krasovskii stability for dynamical systems with time delay
Zhang, Xiaoyan
Sun, Jianqiao
Ding, Qian
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University, 2013, 47 (05): : 72 - 76
[45] Lyapunov regularity for random dynamical systems
Chu, Jifeng
Zhu, Hailong
BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (05): : 671 - 687
[46] Lyapunov problem in dynamical control systems
Zadorozhnyj, V.F.
Kibernetika i Sistemnyj Analiz, 2002, (06): : 133 - 142
[47] ON SELECTING AND RECONSTRUCTING LYAPUNOV FUNCTIONS FOR STABILITY ANALYSIS OF NONLINEAR DYNAMICAL SYSTEMS
Wei, Bin
PROCEEDINGS OF ASME 2023 INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, IDETC-CIE2023, VOL 10, 2023,
[48] On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
Hou, Ling
Michel, Anthony N.
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5097 - 5097
[49] ASYMPTOTIC STABILITY AND SMOOTH LYAPUNOV FUNCTION FOR A CLASS OF ABSTRACT DYNAMICAL SYSTEMS
Schoenlein, Michael
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (07) : 4053 - 4069
[50] Singularly impulsive or generalized impulsive dynamical systems: Lyapunov and asymptotic stability
Kablar, NA
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 173 - 175

← 1 2 3 4 5 →