Amaral, Gleison F.V. and Nepomuceno, Erivelton (2018) A smooth-piecewise model to the Cord Attractor. Chaos, Solitons & Fractals, 109. pp. 31-35. ISSN 0960-0779

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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.

Item Type:	Article
Keywords:	Piecewise approximation; Cord attractor; Chaos; Nonlinear dynamics; Virtual fixed point;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16753
Identification Number:	https://doi.org/10.1016/j.chaos.2018.02.001
Depositing User:	Erivelton Nepomuceno
Date Deposited:	28 Nov 2022 15:56
Journal or Publication Title:	Chaos, Solitons & Fractals
Publisher:	Elsevier
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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