The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain-Reference-Cited by-同舟云学术

The Influence of the Perturbation of the Initial Data on the Analytic Approximate Solution of the Van der Pol Equation in the Complex Domain

Published:2023-06-03 Issue:6 Volume:15 Page:1200
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Orlov Victor¹,Chichurin Alexander²^ORCID

Affiliation:

1. Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Yaroslavskoe Shosse, 26, Moscow 129337, Russia

2. Department of Mathematical Modeling, The John Paul II Catholic University of Lublin, ul. Konstantynów 1H, 20-708 Lublin, Poland

Abstract

In this paper, we substantiate the analytical approximate method for Cauchy problem of the Van der Pol equation in the complex domain. These approximate solutions allow analytical continuation for both real and complex cases. We follow the influence of variation in the initial data of the problem in order to control the computational process and improve the accuracy of the final results. Several simple applications of the method are given. A numerical study confirms the consistency of the developed method.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/6/1200/pdf

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