Chaos in a fractional order modified Duffing system

Zheng-Ming Ge and Chan-Yi Ou

Chaos, Solitons & Fractals, 2007, vol. 34, issue 2, 262-291

Abstract: In this paper, the chaotic behaviors in a fractional order modified Duffing system are studied numerically by phase portraits, Poincaré maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0,1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0 and 2.1.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:2:p:262-291

DOI: 10.1016/j.chaos.2005.11.059

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