Synchronizing Hyperchaotic Maps to Encode/Decode Information

In this work we propose to use hyperchaotic maps synchronization to encode and decode information. The information to be encode is input to the transmitter as an external perturbation. The transmitted signal is used for synchronization and as the encode information carrier. Once the receiver is synchronized with the transmitter, the former decode the information by reconstruct the external perturbation. Roughly speaking, we design a simple schema to encode and decode data, as a simple inverse problem approach. The schema performance shows to be quite satisfactory, as assess from the numerical implementation. We use the results to build an application to establish secure on-line communication over Internet.