This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturb......

讨论了E3^1系统中一类属于广义Liénard型方程xe＋f1（x）x＋f2（x）x^2＋g（x）=0的系统{x=y y=-x＋δy＋nx^2＋mxy＋ly^2＋bxy^2在m,n,l同号及b≠0情况下......

用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性.同宿轨道存在的主要条件是奇异势能函数满足强力条件和有唯一最大值.......

用动力系统分支方法研究非线性方程ut+a(1+bu2)u2ux+δuxxx=0 (a>0,δ>0,b∈R) 给出了参数空间的划分;在各种参数条件下得到孤立波......

含有二階幂零鞍点的双同宿环附近的极限环分支...

通过对一个二次Hamilton系统的四参数的开折,得到一个保证系统存在极限环的四维参数区域,区域的部分边界为庞加莱分枝、同宿环分枝......

通过讨论对称可积二次系统的同宿环为代数的条件,得到平面参数区域中对应代数曲线同宿环的点集具有稠密性, 进一步给出代数曲线同......

By applying the second order Melnikov function,the chaos behaviors of a bistable piezoelectric cantilever power generati......

Comments on 'Non-existence of Shilnikov chaos in continuous-time systems' are given.An error has been found in t......

Comments on 'Non-existence of Shilnikov chaos in continuous-time systems' are given.An error has been found in t......