Exploring some topologies of coupled chaotic networks

Oleg Garasym (1) , René Lozi (2) , Ina Taralova (1)

1 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
2 LJAD - Laboratoire Jean Alexandre Dieudonné

This paper is devoted to the design of new chaotic Pseudo Random Number Generator (CPRNG). Exploring several topologies of network of 1-D coupled chaotic mapping, we focus first on two dimensional networks. Two topologically coupled maps are studied: T T L RC non-alternate, and T T L SC alternate. The primary idea of the novel maps has been based on an original coupling of the tent and logistic maps to achieve excellent random properties and homogeneous /uniform/ density in the phase plane, thus guaranteeing maximum security when used for chaos base cryptography. In this aim two new nonlinear CPRNG: M T T L SC 2 and N T T L2 are proposed. The maps successfully passed numerous statistical, graphical and numerical tests, due to proposed ring coupling and injection mechanisms.

Mots clés: Chaos; tent-logistic map; randomness

Domaines: Systèmes dynamiques [math.DS]; Automatique; Cryptographie et sécurité [cs.CR]

Oleg Garasym, René Lozi, Ina Taralova. Exploring some topologies of coupled chaotic networks. NOMA'15, International Workshop on Nonlinear Maps and their Applications, Elena Blokhina, Orla Feely, Jun 2015, Dublin, Ireland. pp.34-39. ⟨hal-01170124⟩