A numerical study of the Van der Pol model derived by the Caputo–Fabrizio operator-Reference-Cited by-同舟云学术

A numerical study of the Van der Pol model derived by the Caputo–Fabrizio operator

Published:2023-08-01 Issue:8 Volume:13 Page:
ISSN:2158-3226
Container-title:AIP Advances
language:en
Short-container-title:

Author:

Jafari H.¹²³^ORCID,Ganji R. M.¹^ORCID,Ramroodi N.⁴^ORCID,Salati S.¹^ORCID,Ganji D. D.⁵^ORCID

Affiliation:

1. Department of Applied Mathematics, University of Mazandaran 1 , Babolsar, Iran

2. Department of Mathematical Sciences, University of South Africa 2 , UNISA0003, South Africa

3. Department of Medical Research, China Medical University Hospital, China Medical University 3 , Taichung 110122, Taiwan

4. Faculty of Mathematical Sciences, Shahrood University of Technology 4 , Shahrood, Iran

5. Department of Mechanical Engineering, Babol University of Technology 5 , Babol, Iran

Abstract

The study of nonlinear oscillators is an important topic in the development of the theory of dynamical systems. In this research, a nonlinear fractional model is introduced, which is called the fractional Van der Pol model. This modified model is derived using the Caputo–Fabrizio operator. Achieving the solution of this model is not easy. Therefore, in this research, an efficient algorithm for solving this fractional model is evaluated. This algorithm is supported by the three-step Adams–Bashforth process. A significant feature of this research is the graphical presentation of achieving limit cycles for various parameters.

Funder

Saha Salati

Publisher

AIP Publishing

Subject

General Physics and Astronomy

Link

https://pubs.aip.org/aip/adv/article-pdf/doi/10.1063/5.0167878/18095067/085127_1_5.0167878.pdf

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