论文标题
通过覆盖关系和锥条件来表征混合物
Characterising blenders via covering relations and cone conditions
论文作者
论文摘要
我们基于相结合的某些集合与锥体条件的拓扑结合，对搅拌机进行表征。重要的是，可以通过检查差异的单个迭代的特性来验证所需条件，这是通过找到形成合适对准序列的有限系列集来实现的。此表征适用于任意维度。此外，该方法自然扩展到建立C1持久性异二维周期。我们的设置是灵活的，可以基于间隔算术进行严格的计算机辅助验证。
We present a characterisation of a blender based on the topological alignment of certain sets in phase space in combination with cone conditions. Importantly, the required conditions can be verified by checking properties of a single iterate of the diffeomorphism, which is achieved by finding finite series of sets that form suitable sequences of alignments. This characterisation is applicable in arbitrary dimension. Moreover, the approach naturally extends to establishing C1-persistent heterodimensional cycles. Our setup is flexible and allows for a rigorous, computer-assisted validation based on interval arithmetic.
