by Wada. The research has been published in Discrete and Continuous Dynamical Systems – B as a guest article on the occasion of the publication of a special issue to commemorate 20 years of the journal. Wada basins are a special case in which three or more basins of attraction in a system share the same boundary. “This mathematical peculiarity, almost inconceivable as well as ubiquitous, makes that the slightest error in determining initial conditions close to a boundary with the Wada property can cause the system to end in any of the possible final destinations, either an attractor or an escape towards infinity ”, explains Miguel AF Sanjuán. The URJC group of physicists is a leader in the investigation of unpredictability in non-linear systems and, in

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particular, on the Wada property. “In recent years, Ecuador WhatsApp Number List we have developed different methods to detect and characterize the Wada property in different situations,” explains Alexandre Wagemakers. Precisely in this work these methods are collected and compared with each other and also with the original method developed almost 30 years ago by the group of Professor James Yorke, doctor honoris causa of the URJC. “For many years the investigations into the Wada property used only the Nusse-Yorke method, since there was nothing else,” emphasizes Professor Sanjuán. “We have developed three new methods (the grid method, the basin fusion method and thesaddle-straddle ), which allow to detect Wada borders much faster, in more situations

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and even in an automated way ”, he adds. New methods for predicting Wada boundaries Each of the methods developed by the URJC research group takes advantage of some particular aspect of the Wada property. On the one hand, the grid algorithm divides the phase space into a grid in which successive refinements are carried out, allowing the structure of the boundaries to be quantitatively characterized. On the other, the basin fusion method makes use of the ‘invariance’ of the Wada boundaries by merging the basins two by two, allowing the Wada property to be detected in an image in a matter of seconds. Finally, the saddle-straddle methodIt is based on the computation of the chaotic chair of the system, allowing to obtain the precision that is

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