论文标题
一对同层面的关联中的普遍分叉模式
Universal bifurcation patterns in the unfolding of a pair of homoclinic tangencies
论文作者
论文摘要
我们研究了强烈耗散系统中的一对二次同层切换的一对轨道的通用两参数的展开。我们证明，定期轨道的相应稳定窗口具有各种通用形式：所谓的“虾”（跨道区）以及弹簧和鞍形区域，以及（在三参数展开）“怀孕的虾”（在虾和春季和春季或春季或春季或春季或春季或弹簧和春季或春季或弹簧之间的特定类型）。
We study generic two- and three-parameter unfoldings of a pair of orbits of quadratic homoclinic tangency in strongly dissipative systems. We prove that the corresponding stability windows for periodic orbits have various universal forms: the so-called "shrimps" (cross-road areas), as well as spring and saddle areas, and (in three-parameter unfoldings) "pregnant shrimps" (specific types of transitions between the shrimps and spring or saddle areas).
