由行走液滴动力学激发的奇异分岔
Exotic Bifurcations Inspired by Walking Droplet Dynamics
摘要：
我们确定了两个相当新颖的类型的（复合）动力学分岔主要是由一个不变的吸引子流形的相互作用与稳定和非稳定流形的双曲不动点。这些分叉类型-启发最近的调查步行液滴（先导波）现象的数学模型-进行了介绍和说明。详细分析了一些单参数分岔类型，并将其从平面扩展到高维空间。步行液滴动力学的几个应用进行了分析。
英文摘要：
We identify two rather novel types of (compound) dynamical bifurcations generated primarily by interactions of an invariant attracting submanifold with stable and unstable manifolds of hyperbolic fixed points. These bifurcation types - inspired by recent investigations of mathematical models for walking droplet (pilot-wave) phenomena - are introduced and illustrated. Some of the one-parameter bifurcation types are analyzed in detail and extended from the plane to higher-dimensional spaces. A few applications to walking droplet dynamics are analyzed.
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