A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter

被引：9
|
作者：
Yang, Jing [1 ]
Hou, Xiaorong [1 ]
Li, Xiaoxue [1 ]
Luo, Min [2 ]
机构：
[1] Univ Elect Sci & Technol China, Chengdu 611731, Peoples R China
[2] Southwest Petr Univ, Chengdu 610500, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 155卷
关键词：
Hopf bifurcation; Multiple-parameter; Fractional-order systems; Nonlinear system; Parameter space method; STABILITY; NETWORK;
D O I：
10.1016/j.chaos.2021.111714
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hopf bifurcation analysis of fractional-order nonlinear systems with multiple-parameter is discussed in this paper. The regions and boundaries corresponding to Hopf bifurcation conditions are described in parameter space. Based on cylindrical algebraic decomposition, the parameter space is decomposed into finite number of connected regions by some boundaries. Then parameter space method is proposed to determine stable parameter region and Hopf bifurcation parameter hypersurface. One example illustrates the effectiveness of the method.(c) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter
    Gassara, Hamdi
    Rhaima, Mohamed
    Mchiri, Lassaad
    Ben Makhlouf, Abdellatif
    FRACTAL AND FRACTIONAL, 2024, 8 (12)
  • [42] Chaos detection and parameter identification in fractional-order chaotic systems with delay
    Yuan, Liguo
    Yang, Qigui
    Zeng, Caibin
    NONLINEAR DYNAMICS, 2013, 73 (1-2) : 439 - 448
  • [43] THE METHOD OF PARAMETER FUNCTIONALIZATION IN THE HOPF-BIFURCATION PROBLEM
    KOZJAKIN, VS
    KRASNOSELSKII, MA
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (02) : 149 - 161
  • [44] Robust Fractional-order PID Tuning Method for a Plant with an Uncertain Parameter
    Xu Li
    Lifu Gao
    International Journal of Control, Automation and Systems, 2021, 19 : 1302 - 1310
  • [45] Robust Fractional-order PID Tuning Method for a Plant with an Uncertain Parameter
    Li, Xu
    Gao, Lifu
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2021, 19 (03) : 1302 - 1310
  • [46] Parameter and State Estimation of Nonlinear Fractional-Order Model Using Luenberger Observer
    Marzougui, Soumaya
    Bedoui, Saida
    Atitallah, Asma
    Abderrahim, Kamel
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (10) : 5366 - 5391
  • [47] Parameter converting method for bifurcation analysis of nonlinear dynamical systems
    Asghari, H.
    Dardel, M.
    SCIENTIA IRANICA, 2020, 27 (01) : 310 - 329
  • [48] Parameter and State Estimation of Nonlinear Fractional-Order Model Using Luenberger Observer
    Soumaya Marzougui
    Saïda Bedoui
    Asma Atitallah
    Kamel Abderrahim
    Circuits, Systems, and Signal Processing, 2022, 41 : 5366 - 5391
  • [49] Hopf bifurcation and chaos in fractional-order modified hybrid optical system
    Mohammed-Salah Abdelouahab
    Nasr-Eddine Hamri
    Junwei Wang
    Nonlinear Dynamics, 2012, 69 : 275 - 284
  • [50] Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem
    Zhou, Xiaoli
    Wu, Zhaohua
    Wang, Zhiming
    Zhou, Tiejun
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
12345