| Title |
Ascertaining when a basin is Wada: the merging method |
| Authors |
Daza, Alvar ; Wagemakers, Alexandre ; Sanjuán, Miguel A.F |
| DOI |
10.1038/s41598-018-28119-0 |
| Full Text |
|
| Is Part of |
Scientific reports.. London : Springer Nature. 2018, vol. 8, iss. 1, art. no. 9954, p. 1-8.. eISSN 2045-2322 |
| Keywords [eng] |
wada basins ; wada boundary ; wada property |
| Abstract [eng] |
Trying to imagine three regions separated by a unique boundary seems a difficult task. However, this is exactly what happens in many dynamical systems showing Wada basins. Here, we present a new perspective on the Wada property: A Wada boundary is the only one that remains unaltered under the action of merging the basins. This observation allows to develop a new method to test the Wada property, which is much faster than the previous ones. Furthermore, another major advantage of the merging method is that a detailed knowledge of the dynamical system is not required. |
| Published |
London : Springer Nature |
| Type |
Journal article |
| Language |
English |
| Publication date |
2018 |
