Dependence of optimal disturbances on periodic solution phases for time-delay systems-Reference-Cited by-同舟云学术

Dependence of optimal disturbances on periodic solution phases for time-delay systems

Published:2023-03-01 Issue:2 Volume:38 Page:89-98
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Khristichenko Michael Yu.¹²,Nechepurenko Yuri M.¹²,Bocharov Gennady A.¹²

Affiliation:

1. Moscow Center for Fundamental and Applied Mathematics at Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , Gubkin str., 8 , Moscow , Russia

2. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , Gubkin str., 8 , Moscow , Russia

Abstract

Abstract The paper is focused on the dependence of optimal disturbances of stable periodic solutions of time-delay systems on phases of such solutions. The results of numerical experiments with the well-known model of the dynamics of infection caused by lymphocytic choriomeningitis virus are presented and discussed. A new more efficient method for computing the optimal disturbances of periodic solutions is proposed and used.

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2023-0008/pdf

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