平均化方法在回旋动理学等离子体中的应用
Application of the averaging method to the gyrokinetic plasma
AI总结：
本文通过平均化方法将振荡奇异摄动常微分方程的解渐近展开为振荡项之和，并应用于强磁场中带电粒子的回旋动理学问题。
摘要：
我们证明了振荡奇异摄动常微分方程的解可以渐近展开为振荡项之和。每一项都写成一个振荡算子作用于一个非振荡常微分方程的解，并加上一个振荡修正项。非振荡常微分方程的表达式由递推关系定义。然后我们将这一结果应用于带电粒子受到强磁场作用的问题。
英文摘要：
we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms. Each of those terms writes as an oscillating operator acting on the solution to a non oscillating ordinary differential equation with an oscillating correction added to it. The expression of the non oscillating ordinary differential equations are defined by a recurrence relation. We then apply this result to problems where charged particles are submitted to large magnetic field.
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。
