Henon族大扰动的倍周期级联
Period-doubling cascades for large perturbations of Henon families
摘要：
Henon家族已被证明具有倍周期级联。我们在这里表明，同样的情况发生在一个更大的类：大扰动不破坏级联。此外，我们可以根据级联包含的轨道集对级联的周期进行分类，并计算每个周期的级联数。这类族扩展了解释为什么会发生级联的一般理论。
英文摘要：
The Henon family has been shown to have period-doubling cascades. We show here that the same occurs for a much larger class: Large perturbations do not destroy cascades. Furthermore, we can classify the period of a cascade in terms of the set of orbits it contains, and count the number of cascades of each period. This class of families extends a general theory explaining why cascades occur.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
