轨道约化与lambda对称性的推广
Orbital reducibility and a generalization of lambda symmetries
摘要：
我们回顾了约化的概念，并介绍和讨论了一阶自治常微分方程的轨道约化的概念。研究了（轨道）约化与（轨道）对称性之间的关系，并将其用于构造（轨道）约化系统。通过标准标识，这些概念扩展到一阶和高阶的非自治常微分方程。此外，我们从而获得了推广的λ对称的Muriel和Romero。给出了几个例子。
英文摘要：
We review the notion of reducibility and we introduce and discuss the notion of orbital reducibility for autonomous ordinary differential equations of first order. The relation between (orbital) reducibility and (orbital) symmetry is investigated and employed to construct (orbitally) reducible systems. By standard identifications, the notions extend to non-autonomous ODEs of first and higher order. Moreover we thus obtain a generalization of the lambda symmetries of Muriel and Romero. Several examples are given.
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