A smooth-piecewise model to the Cord Attractor

Gleison F.V. Amaral and Erivelton G. Nepomuceno

Chaos, Solitons & Fractals, 2018, vol. 109, issue C, 31-35

Abstract: This paper reports a smooth-piecewise model to the Cord Attractor. The fact that the Cord Attractor has one real fixed point and two complex conjugate fixed points does not allow to use a technique based on the building of two affine subsystems, which requires at least two real fixed points [Chaos 16, 013115 (2006)]. In this work, we have presented a procedure to at least partially overcome this limitation using a virtual fixed point; the location of the fixed point is based on the topology of the original system. The switching function has been designed as a smooth function. The phase space and the local-finite largest Lyapunov exponent have been used to compare the resulting attractor with the original Cord Attractor.

Keywords: Piecewise approximation; Cord attractor; Chaos; Nonlinear dynamics; Virtual fixed point (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:109:y:2018:i:c:p:31-35

DOI: 10.1016/j.chaos.2018.02.001

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