摘要
本文应用同伦技术和摄动技术，提出了一种新的摄动理论。这方法有别于传统的摄动理论，它不依赖于小参数，而是应用同伦技术，构造一个含嵌入参数ｐ∈（０，１）的方程，然后把嵌入参数作为“小参数”，因此这种新方法可以克服传统摄动理论的不足，而又可以充分应用各种摄动方法。其结果显示这种方法简单而有效，并且其一阶近似往往具有很高的精度。
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