The intersection of an orbit in the state space of a continuous dynamical system with a certain lower dimensional subspace, called the Poincaré cross-section, transversal to the flow of the system.
Published in Chapter:
Random Bit Generator Based on Non-Autonomous Chaotic Systems
Christos Volos (Aristotle University of Thessaloniki, Greece), Ioannis Kyprianidis (Aristotle University of Thessaloniki, Greece), Ioannis Stouboulos (Aristotle University of Thessaloniki, Greece), and Sundarapandian Vaidyanathan (Vel Tech University, India)
Copyright: © 2015
|Pages: 27
DOI: 10.4018/978-1-4666-7248-2.ch007
Abstract
In the last decade, a very interesting relationship between cryptography and chaos theory was developed. As a result of this close relationship, several chaos-based cryptosystems, especially using autonomous chaotic dynamical systems, have been put forward. However, this chapter presents a novel Chaotic Random Bit Generator (CRBG), which is based on the Poincaré map of a non-autonomous dynamical system. For this reason, the very-well known Duffing-van der Pol system has been used. The proposed CRBG also uses the X-OR function for improving the “randomness” of the produced bit streams, which are subjected to the most stringent statistical tests, the FIPS-140-2 suite tests, to detect the specific characteristics that are expected from random bit sequences.