研究了二次和三次齐次Hamiltonian系统的1:-2共振奇点的可线性化问题,并利用计算机代数系统求出原点作为鞍点的1:-2型系统可积性与可线性化的必要条件,得出系统可线性化的条件.
In this article, Linearizable conditions for secondary and three homogeneous Hamihonian systems with 1 : -2 resonant singular point are studied. Then following the computer algebra system, the sufficient conditions are proved, namely we obtains all integrable conditions and linearzable conditions for the system.