Given a piecewise monotonic transformation r which is strongly transitive and preserves an invariant probability density function f, a construction is described which modifies r very slightly but which changes f significantly in order to possess desired properties. This construction permits control
New approach to chaotic encryption
✍ Scribed by E. Alvarez; A. Fernández; P. Garcı́a; J. Jiménez; A. Marcano
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 35 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
We describe a computational procedure to encrypt a message, provided that the transmitter and the receiver dispose of identical, but otherwise not synchronized, chaotic dynamical systems. The technique is based upon the fact that the symbolic dynamics of these two systems can be used in order to sequentially construct data blocks which reproduce those from the input file.
📜 SIMILAR VOLUMES
We prove that a class of problems containing the classical periodically forced pendulum equation displays the main features of chaotic dynamics. The approach is based on the construction of multibump type heteroclinic solutions to periodic orbits by the use of global variational methods. © 2000 Édit