Version 1
: Received: 28 November 2021 / Approved: 29 November 2021 / Online: 29 November 2021 (11:59:42 CET)
Version 2
: Received: 4 December 2021 / Approved: 6 December 2021 / Online: 6 December 2021 (12:48:05 CET)
Clemence-Mkhope, D.P.; Gibson, G.A. Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Math. Comput. Appl.2022, 27, 4.
Clemence-Mkhope, D.P.; Gibson, G.A. Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Math. Comput. Appl. 2022, 27, 4.
Clemence-Mkhope, D.P.; Gibson, G.A. Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Math. Comput. Appl.2022, 27, 4.
Clemence-Mkhope, D.P.; Gibson, G.A. Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Math. Comput. Appl. 2022, 27, 4.
Abstract
Four discrete models using the exact spectral derivative discretization finite difference (ESDDFD) method are proposed for a chaotic five-dimensional, conformable fractional derivative financial system incorporating ethics and market confidence. Since the system considered was recently studied using the conformable Euler finite difference (CEFD) method and found to be hyperchaotic, and the CEFD method was recently shown to be valid only at fractional index , the source of the hyperchaos is in question. Through numerical experiments, illustration is presented that the hyperchaos previously detected is in part an artifact of the CEFD method as it is absent from the ESDDFD models.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Gregory Gibson
Commenter's Conflict of Interests: Author