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Lag synchronization of hyperchaos with application to secure communications. (English) Zbl 1068.94004
Summary: Hyperchaotic lag synchronization is restated as a nonlinear and lag-in-time observer design issue. This approach leads to a systematic tool which guarantees the lag synchronization of a wide class of chaotic or hyperchaotic systems via a scalar signal. By exploiting this result, we propose a hyperchaos-based cryptosystem scheme that combines the conventional cryptographic methods and the lag synchronization of chaotic circuits. The computer simulation results show that the lag synchronization scheme and the cryptosystem proposed in this paper are both feasible.
MSC:
94A05Communication theory
37D45Strange attractors, chaotic dynamics
94A60Cryptography
94C05Analytic circuit theory