A fractional-order ship power system: chaos and its dynamical properties-Reference-Cited by-同舟云学术

A fractional-order ship power system: chaos and its dynamical properties

Published:2021-08-09 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Rajagopal Karthikeyan¹^ORCID,Duraisamy Prakash¹,Tadesse Goitom²,Volos Christos³,Nazarimehr Fahimeh⁴^ORCID,Hussain Iqtadar⁵^ORCID

Affiliation:

1. Centre for Nonlinear Systems , Chennai Institute of Technology , Chennai , India

2. Center for Nonlinear Dynamics, Institute of Research and Development , Defence University , Bishoftu , Ethiopia

3. Laboratory of Nonlinear Systems, Circuits & Complexity (LaNSCom), Department of Physics , Aristotle University of Thessaloniki , Thessaloniki , GR 54124 , Greece

4. Department of Biomedical Engineering , Amirkabir University of Technology , 350 Hafez Ave. , Tehran 1591634311 , Iran

5. Department of Mathematics, Statistics and Physics , Qatar University , Doha 2713 , Qatar

Abstract

Abstract In this research, the ship power system is studied with a fractional-order approach. A 2-D model of a two-generator parallel-connected is considered. A chaotic attractor is observed for particular parameter values. The fractional-order form is calculated with the Adam–Bashforth–Moulton method. The chaotic response is identified even for the order 0.99. Phase portrait is generated using the Caputo derivative approach. Wolf’s algorithm is used to calculate Lyapunov exponents. For the considered values of parameters, one positive Lyapunov exponent confirms the existence of chaos. Bifurcation diagrams are presented to analyze the various dynamical behaviors and bifurcation points. Interestingly, the considered system is multistable. Also, antimonotonicity, period-doubling, and period halving are observed in the bifurcation diagram. As the last step, a fractional-order controller is designed to remove chaotic dynamics. Time plots are simulated to show the effectiveness of the controller.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0127/pdf

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