Exploration of topologies of coupled nonlinear maps (Chaos theory)

Description

We explore several topologies of network of 1-D coupled chaotic mapping (mainly tent map and logistic map) in order to obtain good Chaotic Pseudo Random Number Generators (CPRNG). We focus first on two-dimensional networks. Two coupled maps are studied: TTL(RC) non-alternative, and TTL(SC) alternative. In this case, those networks are equivalent to 2-D maps which achieve excellent random properties and uniform density in the phase plane, thus guaranteeing maximum security when used for chaos based cryptography.Moreover an extra new nonlinear CPRNG: MTTL(SC,2) is proposed. In addition, we explore higher dimension and the proposed ring coupling with injection mechanism enables us to achieve the strongest security requirements

Abstract

Published In 21th International Conference on Soft Computing MENDEL 2015, Brnö, Czech Republic, June 23-25, 2015, R. Matoušek (ed.), 223-236

Abstract

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