New class of chaotic systems with circular equilibrium

被引:0
|
作者
Tomas Gotthans
Jiří Petržela
机构
[1] Brno University of Technology,Department of Radio Electronics
来源
Nonlinear Dynamics | 2015年 / 81卷
关键词
Autonomous system; Attracting set; Circular equilibrium; Chaos; Nonlinear dynamics; Vector field;
D O I
暂无
中图分类号
学科分类号
摘要
This paper brings a new mathematical model of the third-order autonomous deterministic dynamical system with associated chaotic motion. Its unique property lies in the existence of circular equilibrium which was not, by referring to the best knowledge of the authors, so far reported. Both mathematical analysis and circuitry implementation of the corresponding differential equations are presented. It is shown that discovered system provides a structurally stable strange attractor which fulfills fractal dimensionality and geometrical density and is bounded into a finite state space volume.
引用
收藏
页码:1143 / 1149
页数:6
相关论文
共 50 条
  • [1] New class of chaotic systems with circular equilibrium
    Gotthans, Tomas
    Petrzela, Jiri
    NONLINEAR DYNAMICS, 2015, 81 (03) : 1143 - 1149
  • [2] New class of chaotic systems with equilibrium points like a three-leaved clover
    Mobayen, Saleh
    Volos, Christos K.
    Kacar, Sezgin
    Cavusoglu, Unal
    NONLINEAR DYNAMICS, 2018, 91 (02) : 939 - 956
  • [3] New class of chaotic systems with equilibrium points like a three-leaved clover
    Saleh Mobayen
    Christos K. Volos
    Sezgin Kaçar
    Ünal Çavuşoğlu
    Nonlinear Dynamics, 2018, 91 : 939 - 956
  • [4] Attraction/repulsion functions in a new class of chaotic systems
    Duan, ZS
    Wang, JZ
    Huang, L
    PHYSICS LETTERS A, 2005, 335 (2-3) : 139 - 149
  • [5] Stabilization for a Class of New Chaotic Systems with Adaptive Quantizer
    Zhai, Y. H.
    Wang, Y. H.
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTRICAL, AUTOMATION AND MECHANICAL ENGINEERING (EAME 2015), 2015, 13 : 628 - 631
  • [6] Control and Synchronization of a New Class of Finance Chaotic Systems
    Meng, Wenjing
    Zhang, Guoshan
    PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 200 - 205
  • [7] Hybrid Projective Synchronization of A Class of New Chaotic Systems
    Wang, Tao
    Jia, Nuo
    Zhang, Fengru
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 1278 - 1283
  • [8] A New Family of Chaotic Systems with Different Closed Curve Equilibrium
    Zhu, Xinhe
    Du, Wei-Shih
    MATHEMATICS, 2019, 7 (01):
  • [9] A new adaptive chaos synchronization principle for a class of chaotic systems
    Bowong, S
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (04) : 399 - 408
  • [10] A new class of discrete modular memristors and application in chaotic systems
    Yi Ding
    Wenhao Liu
    Huihai Wang
    Kehui Sun
    The European Physical Journal Plus, 138