How to detect Wada basins. (English) Zbl 1470.37103
Summary: We present a review of the different techniques available to study a special kind of fractal basins of attraction known as Wada basins, which have the intriguing property of having a single boundary separating three or more basins. We expose several approaches to identify this topological property that rely on different, but not exclusive, definitions of the Wada property.
MSC:
| 37M21 | Computational methods for invariant manifolds of dynamical systems |
| 37M05 | Simulation of dynamical systems |
| 65P40 | Numerical nonlinear stabilities in dynamical systems |
| 65P20 | Numerical chaos |
| 28A80 | Fractals |
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
Software:
DynamicsReferences:
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