We consider one-parameter families (general unfoldings) of two-dimensional reversible diffeomorphisms that contain a diffeomorphism with a symmetric non-transversal heteroclinic cycle. We show that in such families there exist Newhouse intervals of parameters such that the values corresponding to the co-existence of infinitely many stable, completely unstable, saddle and symmetric elliptic periodic orbits are generic (that is, they form Baire second-category sets). Also, the closures of the sets of orbits of different types have non-empty intersections.

中文翻译：

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具有对称非横向异宿循环的二维可逆微分混合的混合动力学

我们考虑二维可逆微分形的一参数族（一般展开），其中包含具有对称非横向异斜变周期的微分形。我们证明了在这类族中存在参数的纽豪斯区间，使得对应于无限多个稳定，完全不稳定，鞍形和对称椭圆周期轨道的并存的值是通用的（也就是说，它们形成了Baire第二类集） 。同样，不同类型的轨道集合的闭合具有非空相交。