Designing Chaotic Mathematical Circuits for Solving Practical Problems

René Lozi (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

We introduce the paradigm of chaotic mathematical circuitry which shows some similarity to the paradigm of electronic circuitry, especially in the frame of chaotic attractors for solving practical problems (generating hyperchaos; developing chaos based pseudo random number generator (CPRNG) and chaotic multistream PRNG; secure communication via synchronization). They can also be used in cryptography, generic algorithms in optimization, control, etc.

Mots clés: Chaotic mathematical circuit; circuit modeling; chaos; Chuas circuit; pseudo-random number generator

Domaines: Mathématiques [math]; Systèmes dynamiques [math.DS]; Dynamique Chaotique [nlin.CD]; Automatique / Robotique

René Lozi. Designing Chaotic Mathematical Circuits for Solving Practical Problems. International Journal of Automation and Computing, 2014, Recent Advances on Complex Systems Control, Modelling and Prediction II, 11 (6), pp.588-597. ⟨10.1007/s11633-014-0839-9⟩. ⟨hal-01326725⟩