时滞微分方程周期解的最优扰动

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2022-08-01 DOI:10.1515/rnam-2022-0017

M. Y. Khristichenko, Y. Nechepurenko

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引用次数: 1

摘要

摘要定义了一类时滞微分方程组周期解的最优扰动概念。提出并证明了一种计算最优扰动的算法。该算法在已知的四个非线性时滞微分方程组上进行了测试，该方程组模拟了淋巴细胞性脉络膜脑膜炎病毒引起的实验性感染的动力学。讨论了数值实验的结果。

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Optimal disturbances for periodic solutions of time-delay differential equations

Abstract A concept of optimal disturbances of periodic solutions for a system of time-delay differential equations is defined. An algorithm for computing the optimal disturbances is proposed and justified. This algorithm is tested on the known system of four nonlinear time-delay differential equations modelling the dynamics of the experimental infection caused by the lymphocytic choriomeningitis virus. The results of numerical experiments are discussed.

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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.