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

Jing Yang, Xiaorong Hou, Xiaoxue Li and Min Luo

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: 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.

Keywords: Hopf bifurcation; Multiple-parameter; Fractional-order systems; Nonlinear system; Parameter space method (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010687

DOI: 10.1016/j.chaos.2021.111714

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