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arXiv 2107.11642math-phmath.MPnlin.CD
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FitzHugh-Nagumo方程的渐近极限环分析

Asymptotic Limit-cycle Analysis of the FitzHugh-Nagumo Equations

Alain J. Brizard

摘要:

给出了FitzHugh-Nagumo方程的渐近极限环分析。在这项工作中,我们得到了一个明确的解析表达式的弛豫振荡周期是准确的数值的1%之内。此外,我们还导出了鸭翼爆炸和内爆在其相应极限环内的临界参数值。

英文摘要:

The asymptotic limit-cycle analysis of the FitzHugh-Nagumo equations is presented. In this work, we obtain an explicit analytical expression for the relaxation-oscillation period that is accurate within 1\% of their numerical values. In addition, we derive the critical parametric values leading to canard explosions and implosions in its associated limit cycles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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