Practical numerical algorithms for chaotic systems
Practical numerical algorithms for chaotic systems
Cascading synchronized chaotic systems
Physica D
Cryptography and Secure Communications
Cryptography and Secure Communications
LoBa128, a Lorenz-based PRNG for wireless sensor networks
International Journal of Communication Networks and Distributed Systems
Chaotic cryptosystem based on inverse duffing circuit
NOLASC'06 Proceedings of the 5th WSEAS international conference on Non-linear analysis, non-linear systems and chaos
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The paper presents chaotic systems of difference equations that can effectively encrypt information. Two classes of systems are presented: The first one (Class 1) is optimized for secure communications over reliable channels, while the second (Class 2) tolerates transmission noise at the expense of reduced parameter space size. The nonlinearity of these systems is achieved by designing proper piecewise linear functions and by using modulo operations. The utilization of additional nonlinear terms can improve the enciphering efficiency. The encrypting performance of the algorithms is evaluated analytically and by simulation experiments. Also, the case of an imperfect transmission channel that inserts noise in the transmitted signal is addressed and the design is modified in order to offer reliable secure transmission over channels with very small Signal to Noise Ratios.