Historic and physical wandering domains for wild blender-horseshoes
Historic and physical wandering domains for wild blender-horseshoes
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DOI：
10.1088/1361-6544/acda74
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发表时间：
2021-07
期刊：
影响因子：
1.7
通讯作者：
Shin Kiriki;Yushi Nakano;Teruhiko Soma
中科院分区：
文献类型：
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作者：
Shin Kiriki;Yushi Nakano;Teruhiko Soma
给出了具有两种类型的微分同态的野混合马蹄的微分同态，其中一种具有历史收缩游荡域，另一种具有由鞍形周期轨道支撑的非平凡Dirac物理测度，它们属于两种类型的Cr(1⩽r<；∞)闭.它是Colli-Vargas(Colli和Vargas，2001)模型的非平凡推广。理论上是这样。系统211657-81年)通过使用野生搅拌机马蹄铁来实现更高维度的动力学。
We present diffeomorphisms of wild blender-horseshoes which belong to Cr (1⩽r<∞) closures of two types of diffeomorphisms, one of which has a historic contracting wandering domain, and the other has a non-trivial Dirac physical measure supported by saddle periodic orbit. It is a non-trivial extension of Colli–Vargas’ model (Colli and Vargas 2001 Ergod. Theory Dyn. Syst. 21 1657–81) to the higher dimensional dynamics with the use of wild blender-horseshoes.