Bifurcation of rough heteroclinic loop with orbit and inclination flips

Nonresonant Bifurcations of Heteroclinic Loops With One Inclination Flip

“…Recently, some papers were devoted to the study on the bifurcations of the homoclinic or heteroclinic loops with an orbit flip or an inclination flip in higher dimensional vector fields, e.g. see Geng et al, 2009;Lu, 2009;Qiao et al, 2009;Shui & Zhu, 2004, 2005Wu & Sun, 2006;Xu et al, 2008;Xu et al, 2009;Zhang & Zhu, 2004, 2007, 2009. In this paper, we study the bifurcations of rough heteroclinic loops which are composed of two principal heteroclinic orbits but there is one stable foliation that involves the inclination flip in four-dimensional systems.…”