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 seq
A new approach to controlling chaotic systems
✍ Scribed by Pawel Góra; Abraham Boyarsky
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 619 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
✦ Synopsis
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 of the global long term behavior of chaotic dynamical systems.
📜 SIMILAR VOLUMES
## Communicated by M. Efendiev A new chaotic system is found by feedback controlling method in this paper. According to the definition of the generalized Lorenz system, the new chaotic system does not belong to generalized Lorenz systems. We analyze the new system by means of phase portraits, Lyap