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Communication Dans Un Congrès Année : 2015

Exploration of topologies of coupled nonlinear maps (Chaos theory)

René Lozi

Résumé

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
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Dates et versions

hal-01336429 , version 1 (23-06-2016)

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  • HAL Id : hal-01336429 , version 1

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René Lozi. Exploration of topologies of coupled nonlinear maps (Chaos theory). 21st International Conference on Soft Computing (MENDEL 2015), Matoušek Radek, Jun 2015, Brnö, Czech Republic. pp.223-236. ⟨hal-01336429⟩
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