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Cryptography with chaos. (English) Zbl 0936.94013

Summary: It is possible to encrypt a message (a text composed by some alphabet) using the ergodic property of the simple low-dimensional and chaotic logistic equation. The basic idea is to encrypt each character of the message as the integer number of iterations performed in the logistic equation, in order to transfer the trajectory from an initial condition towards an \(\varepsilon\)-interval inside the logistic chaotic attractor.

MSC:

94A60 Cryptography
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N99 Applications of dynamical systems
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