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.
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页数：7
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