A two-directional grid multiscroll hidden attractor based on piecewise linear system and its application in pseudo-random bit generator

Abstract

In this work, we present a methodology to design dynamical systems that display two-directional grid multiscroll hidden attractors. Self-excited attractors based on piecewise linear systems emerging from its equilibria in order to exhibit in one-directional (1D) and two-directional (2D) grid multiscroll hidden attractors. The particularity of this methodology is that the self-excited multiscroll attractor is separated into several double scroll self-excited attractors to allow the appearance of a hidden attractor. Next, the hidden attractor is used as the core of a cryptographic safe pseudo-random bit generator and statistical evidence is provided to ensure its convenience in cryptographic applications.