46 citations · 69 across the 3 of their papers we have counts for
7 papers
A test for fractal boundaries based on the basin entropy
Andreu Puy, Alvar Daza, Alexandre Wagemakers +1
In dynamical systems, basins of attraction connect a given set of initial conditions in phase space to their asymptotic states. The basin entropy and related tools quantify the unp…
From Branched Flow to Superwires in Periodic Potentials
Alvar Daza, Eric J. Heller, Anton M. Graf +1
We report unexpected classical and quantum dynamics of a wave propagating in a periodic potential in high Brilloiun zones. Branched flow appears at wavelengths shorter than the typ…
How to detect Wada Basins
Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuan
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…
The saddle-straddle method to test for Wada basins
Alexandre Wagemakers, Alvar Daza, Miguel A. F. Sanjuán
First conceived as a topological construction, Wada basins abound in dynamical systems. Basins of attraction showing the Wada property possess the particular feature that any small…
Computing complex horseshoes by means of piecewise maps
Álvaro G. López, Álvar Daza, Jesús M. Seoane +1
A systematic procedure to numerically compute a horseshoe map is presented. This new method uses piecewise functions and expresses the required operations by means of elementary tr…
Ascertaining when a basin is Wada: the merging method
Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán
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…