How useful randomness for cryptography can emerge from multicore-implemented complex networks of chaotic maps

Description

We introduce a novel method revealing hidden bifurcations in the multispiral Chua attractorin the case where the parameter of bifurcation c which determines the number of spiral isdiscrete. This method is based on the core idea of the genuine Leonov and Kuznetsov methodfor searching hidden attractors (i.e. applying homotopy and numerical continuation) but used ina very different way. Such hidden bifurcations are governed by a homotopy parameter ε whereasc is maintained constant. This additional parameter which is absent from the initial problem isperfectly fitted to unfold the actual structure of the multispiral attractor. We study completelythe multispiral Chua attractor, generated via sine function, and check numerically our methodfor odd and even values of c from 1 to 12. In addition, we compare the shape of the attractorsobtained for the same value of parameter ε while varying the parameter c.

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