时滞系统最优扰动与周期解相的关系

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2023-03-01 DOI:10.1515/rnam-2023-0008

M. Y. Khristichenko, Y. Nechepurenko, G. Bocharov

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引用次数: 0

摘要

研究了时滞系统稳定周期解的最优扰动与周期解相位的关系。本文介绍并讨论了著名的淋巴细胞性脉络丛脑膜炎病毒感染动力学模型的数值实验结果。提出并应用了一种新的更有效的周期解最优扰动计算方法。

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

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.

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来源期刊

Russian Journal of Numerical Analysis and Mathematical Modelling 数学-工程：综合

CiteScore

1.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.