Cascade Chaotic System With Applications

TLDR

Chaotic maps are widely used in different applications. The paper introduces the cascade chaotic system (CCS) and applies it to a pseudo‑random number generator and a data encryption system. CCS uses two 1‑D chaotic maps as seeds and a cascade structure to generate many new chaotic maps, enabling its use in PRNG and encryption. The CCS produces robust, more unpredictable maps with better performance, and its PRNG and encryption system achieve high randomness quality and strong data protection.

Abstract

Chaotic maps are widely used in different applications. Motivated by the cascade structure in electronic circuits, this paper introduces a general chaotic framework called the cascade chaotic system (CCS). Using two 1-D chaotic maps as seed maps, CCS is able to generate a huge number of new chaotic maps. Examples and evaluations show the CCS's robustness. Compared with corresponding seed maps, newly generated chaotic maps are more unpredictable and have better chaotic performance, more parameters, and complex chaotic properties. To investigate applications of CCS, we introduce a pseudo-random number generator (PRNG) and a data encryption system using a chaotic map generated by CCS. Simulation and analysis demonstrate that the proposed PRNG has high quality of randomness and that the data encryption system is able to protect different types of data with a high-security level.