Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rossler Toroidal System

被引：2
|
作者：
Zhu, Huijian [1 ,2 ]
机构：
[1] S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China
[2] Guangdong Polytech Normal Univ, Sch Electromech, Guangzhou 510635, Guangdong, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2013年 / 2013卷
关键词：
DIFFERENTIAL-EQUATIONS;
D O I：
10.1155/2013/593856
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the problem of determining the conditions under which fractional order Rossler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical simulations are performed to verify the theoretical analysis by straightforward computations.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Chaos in a fractional-order Rossler system
    Zhang, Weiwei
    Zhou, Shangbo
    Li, Hua
    Zhu, Hao
    CHAOS SOLITONS & FRACTALS, 2009, 42 (03) : 1684 - 1691
  • [2] Chaotic Dynamics of Fractional-Order Liu System
    Gao, Xin
    RECENT TRENDS IN MATERIALS AND MECHANICAL ENGINEERING MATERIALS, MECHATRONICS AND AUTOMATION, PTS 1-3, 2011, 55-57 : 1327 - 1331
  • [3] The global dynamics of a new fractional-order chaotic system
    Liu, Ping
    Zhang, Yulan
    Mohammed, Khidhair Jasim
    Lopes, Antonio M.
    Saberi-Nik, Hassan
    CHAOS SOLITONS & FRACTALS, 2023, 175
  • [4] Analysing chaos in fractional-order systems with the harmonic balance method
    Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
    Chin. Phys., 2006, 6 (1201-1207):
  • [5] Analysing chaos in fractional-order systems with the harmonic balance method
    Wu Zheng-Mao
    Lu Jun-Guo
    Xie Jian-Ying
    CHINESE PHYSICS, 2006, 15 (06): : 1201 - 1207
  • [6] Complex Dynamics of the Fractional-Order Rossler System and Its Tracking Synchronization Control
    Wang, Huihai
    He, Shaobo
    Sun, Kehui
    COMPLEXITY, 2018,
  • [7] HYPERCHAOS IN THE FRACTIONAL-ORDER ROSSLER SYSTEM WITH LOWEST-ORDER
    Cafagna, Donato
    Grassi, Giuseppe
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (01): : 339 - 347
  • [8] A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system
    Si Gang-Quan
    Sun Zhi-Yong
    Zhang Yan-Bin
    CHINESE PHYSICS B, 2011, 20 (08)
  • [9] Chaotic Dynamics of Fractional-order Volta System and Its Synchronization
    Fu, Xiuli
    Yu, Youming
    INTERNATIONAL CONFERENCE ON CONTROL SYSTEM AND AUTOMATION (CSA 2013), 2013, : 58 - 61
  • [10] Dynamics of Fractional-Order Chaotic Rocard Relaxation Econometric System
    Yao, Zhao
    Sun, Kehui
    He, Shaobo
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (13):
12345