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SOME STABILITY RESULTS FOR DELAYED LOGISTIC AND MATHIEU EQUATIONS

机译:延迟逻辑和Mathieu方程的一些稳定性结果

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摘要

The stability of the delay system guaranteed by a certain condition, which is popularly known as argument principle. This paper presents a novel method of investigation of a stability of the time delayed Logistic and Mathieu equations. Method of steps is employed to analyze the stability. Also, it may be noted that the proposed method is not only easier to analyze, but also avoids tedious calculations. Moreover, there is no need of solving the complete system in order to analyze the stability which may become demanding particularly if nonlinearity existing. Some insightful illustrations are proposed to validate of the given theory.
机译:通过一定条件保证延迟系统的稳定性,这是普遍称为论证原则的普遍称为论数。 本文介绍了一种新的调查时间延迟逻辑和Mathieu方程的稳定性方法。 采用步骤方法来分析稳定性。 此外,可能会指出的是,所提出的方法不仅更容易分析,而且还避免了繁琐的计算。 此外,不需要解决完整的系统,以便分析可能对苛刻的稳定性,特别是如果非线性存在。 提出了一些有洞察力的插图来验证给定的理论。

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