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An approximation with error \(O(\varepsilon ^{2})\) may be useful as qualitatively different phenomena may arise at second order. An example with mixed \(O(\varepsilon )\) and \(O(\varepsilon ^2)\) terms illustrates the theorem. Different timescales play a part and are discussed.

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Second Order Periodic Averaging

  • 章节

  • 发表日期：

    2026年

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  • Ferdinand Verhulst

摘要

An approximation with error \(O(\varepsilon ^{2})\) may be useful as qualitatively different phenomena may arise at second order. An example with mixed \(O(\varepsilon )\) and \(O(\varepsilon ^2)\) terms illustrates the theorem. Different timescales play a part and are discussed.