Limit cycles in Lienard systems with saturation

被引:0
|
作者
Lathuiliere, Thomas [1 ]
Valmorbida, Giorgio [1 ]
Panteley, Elena [1 ,2 ]
机构
[1] Univ Paris Saclay, Univ Paris Sud, Cent Supelec, Lab Signaux & Syst,CNRS, 3 Rue Joliot Curie, F-91192 Gif Sur Yvette, France
[2] ITMO Univ, Kronverkskiy Av 49, St Petersburg 197101, Russia
来源
IFAC PAPERSONLINE | 2018年 / 51卷 / 33期
关键词
Lienard systems; limit cycles; saturation;
D O I
10.1016/j.ifacol.2018.12.105
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we present an extension of existing results on limit cycles for Lienard systems and formulate sufficient conditions for existence and uniqueness of limit cycles for Lienard systems with non-differentiable vector fields. As an application we consider the example of a linear systems with the saturation nonlinearity. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:127 / 131
页数:5
相关论文
共 50 条
  • [1] Limit cycles of Lienard systems
    Amar, M
    Sabrina, B
    [J]. PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, VOL 4, 2004, : 297 - 301
  • [2] Limit cycles of generalized Lienard systems
    Bouattia, Y.
    Makhlouf, A.
    [J]. MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE, 2009, 1124 : 60 - 70
  • [3] On the hyperelliptic limit cycles of Lienard systems
    Liu, Changjian
    Chen, Guoting
    Yang, Jiazhong
    [J]. NONLINEARITY, 2012, 25 (06) : 1601 - 1611
  • [4] Limit cycles of polynomial Lienard systems
    [J]. Phys Rev E., 4 (5185):
  • [5] Limit cycles in generalized Lienard systems
    Yu, P.
    Han, M.
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 30 (05) : 1048 - 1068
  • [6] Limit cycles of polynomial Lienard systems
    Llibre, J
    Pizarro, L
    Ponce, E
    [J]. PHYSICAL REVIEW E, 1998, 58 (04): : 5185 - 5187
  • [7] On the algebraic limit cycles of Lienard systems
    Llibre, Jaume
    Zhang, Xiang
    [J]. NONLINEARITY, 2008, 21 (09) : 2011 - 2022
  • [8] The hyperelliptic limit cycles of the Lienard systems
    Yu, Xiaolan
    Zhang, Xiang
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 376 (02) : 535 - 539
  • [9] On the Number of Hyperelliptic Limit Cycles of Lienard Systems
    Qian, Xinjie
    Yang, Jiazhong
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (01)
  • [10] Limit cycles of some polynomial Lienard systems
    Xu, Weijiao
    Li, Cuiping
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) : 367 - 378