Stability and chaos in the fractional Chen system

Jan Čermák and Luděk Nechvátal

Chaos, Solitons & Fractals, 2019, vol. 125, issue C, 24-33

Abstract: The paper provides a theoretical analysis of some local bifurcations in the fractional Chen system. Contrary to the integer-order case, basic bifurcation properties of the fractional Chen system are shown to be qualitatively different from those described previously for the fractional Lorenz system. Further, the fractional Hopf bifurcation in the Chen system is expressed rigorously with respect to general entry parameters. Based on these observations, some particularities of the fractional dynamics of the Chen system are documented and its chaotic behavior for low derivative orders is discussed.

Keywords: Chen system; Fractional derivative; Stability; Fractional Hopf bifurcation; Chaos (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:125:y:2019:i:c:p:24-33

DOI: 10.1016/j.chaos.2019.05.007

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