Taming Hyperchaos with Exact Spectral Derivative Discretization Finite Difference Discretization of a Conformable Fractional Derivative Financial System with Market Confidence and Ethics Risk

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 usi...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical and computational applications 2022-01, Vol.27 (1), p.4
Main Authors: Clemence-Mkhope, Dominic P., Gibson, Gregory A.
Format: Article
Language:English
Subjects:
conformable calculus
Discretization
ESDDFD and NSFD methods
Ethics
ethics risk
Finite difference method
fractional-order financial system
hyperchaotic attractor
Impact factors
Interest rates
market confidence
Mathematical analysis
Mathematical functions
Variables
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 α=1, 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.
ISSN:2297-8747
1300-686X
2297-8747
DOI:10.3390/mca27010004