On Chaos in the Fractional-Order Discrete-Time Macroeconomic Systems

Ramzi B. Albadarneh; Abderrahmane Abbes; Adel Ouannas; Iqbal M. Batiha; Taki Eddine Oussaeif

doi:10.1063/5.0162686

On Chaos in the Fractional-Order Discrete-Time Macroeconomic Systems

Ramzi B. Albadarneh
, Abderrahmane Abbes
, Adel Ouannas
, Iqbal M. Batiha
, Taki Eddine Oussaeif

Nonlinear Dynamic Research Centre (NDRC)

Hashemite University
University of Jordan
University of Oum El Bouaghi
Irbid National University

Research output: Contribution to journal › Conference article › peer-review

15 Scopus citations

Abstract

This work proposes a new fractional-order form of a Discrete-time macroeconomic system based on the Caputo-like difference operator. The dynamics of the proposed system are explored by means of phase plots, bifurcations diagrams, and the largest Lyapunov exponent. In addition, the 0-1 test and approximate entropy are employed to assess the validity of the numerical results. Numerical results are used to illustrate the main findings of the study.

Original language	English
Article number	030014
Journal	AIP Conference Proceedings
Volume	2849
Issue number	1
DOIs	https://doi.org/10.1063/5.0162686
State	Published - 1 Sep 2023
Event	International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021 - Rhodes, Greece Duration: 20 Sep 2021 → 26 Sep 2021

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abstract = "This work proposes a new fractional-order form of a Discrete-time macroeconomic system based on the Caputo-like difference operator. The dynamics of the proposed system are explored by means of phase plots, bifurcations diagrams, and the largest Lyapunov exponent. In addition, the 0-1 test and approximate entropy are employed to assess the validity of the numerical results. Numerical results are used to illustrate the main findings of the study.",

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AU - Abbes, Abderrahmane

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

AU - Oussaeif, Taki Eddine

PY - 2023/9/1

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AB - This work proposes a new fractional-order form of a Discrete-time macroeconomic system based on the Caputo-like difference operator. The dynamics of the proposed system are explored by means of phase plots, bifurcations diagrams, and the largest Lyapunov exponent. In addition, the 0-1 test and approximate entropy are employed to assess the validity of the numerical results. Numerical results are used to illustrate the main findings of the study.

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On Chaos in the Fractional-Order Discrete-Time Macroeconomic Systems

Abstract

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