Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Taming Hyperchaos with ESDDFD Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk

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)

How to cite: Gibson, G.; Clemence-Mkhope, D. Taming Hyperchaos with ESDDFD Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Preprints 2021, 2021110528 (doi: 10.20944/preprints202111.0528.v2). Gibson, G.; Clemence-Mkhope, D. Taming Hyperchaos with ESDDFD Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk. Preprints 2021, 2021110528 (doi: 10.20944/preprints202111.0528.v2).

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.

Keywords

Conformable calculus; Fractional-order financial system; ESDDFD and NSFD methods; Hyperchaotic attractor; Market confidence; Ethics risk

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

Comments (1)

Comment 1
Received: 6 December 2021
Commenter: Gregory Gibson
Commenter's Conflict of Interests: Author
Comment: Edited Reference and fixed minor errors in labelling of images, improved image quality to 300dpi.
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