On Hopf bifurcation in fractional dynamical systems

Amey S. Deshpande, Varsha Daftardar-Gejji and Yogita V. Sukale

Chaos, Solitons & Fractals, 2017, vol. 98, issue C, 189-198

Abstract: Fractional order dynamical systems admit chaotic solutions and the chaos disappears when the fractional order is reduced below a threshold value [1]. Thus the order of the dynamical system acts as a chaos controlling parameter. Hence it is important to study the fractional order dynamical systems and chaos. Study of fractional order dynamical systems is still in its infancy and many aspects are yet to be explored.

Keywords: Fractional dynamics; Caputo derivative; Hopf bifurcation; Chaos (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:98:y:2017:i:c:p:189-198

DOI: 10.1016/j.chaos.2017.03.034

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