In the present work we prove some existence results of heteroclinic orbits and heteroclinic chains for a second order di......

Bifurcations of nontwisted and fine heteroclinic loops are studied for higher dimensional systems. The existence and its......

The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on......

A geometrical method using the exponential dichotomy and the invariant manifold thoery is given to set up the criteria f......

如果系统让 asymptotically 稳定的 heteroclinic 骑车，那么，它让 asymptotically 稳定的 homoclinic 削尖哪个暗示空间混乱，这被证明......

在具余维２奇点的四维系统的两参数开折的研究中出现一类三点异宿环的扰动分支，对此异宿环产生极限环的唯一性一直未得到完整的解决，本......

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