麦基-格拉斯方程周期解向极限中继方程解的渐近收敛分析

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-08-26 DOI:10.1134/s0040577924080014

V. V. Alekseev, M. M. Preobrazhenskaia

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引用次数: 0

摘要

摘要在非线性分母指数为大参数的假设下，研究了麦基-格拉斯方程的弛豫自振荡。我们考虑了当大参数趋于无穷大时产生的极限中继方程具有周期上最小断裂点数的周期解的情况。在这种情况下，我们证明了麦基-格拉斯方程周期解的存在，该解在渐近上接近于极限方程的周期解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation

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Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation

Abstract

The relaxation self-oscillations of the Mackey–Glass equation are studied under the assumption that the exponent in the nonlinearity denominator is a large parameter. We consider the case where the limit relay equation, which arises as the large parameter tends to infinity, has a periodic solution with the smallest number of breaking points on the period. In this case, we prove the existence of a periodic solution of the Mackey–Glass equation that is asymptotically close to the periodic solution of the limit equation.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.