Highly-difficult-to-break but fast digital communication scheme based on inverse mapping of chaos periodic orbits

In order to enhance the anti-breaking performance of a digital communication scheme, we propose a new method based on the inverse mapping of chaos periodic orbits. In the full paper, we explain our new method in detail. In this abstract, we just add some pertinent remarks to listing the two topics of explanation. The first topic is: the new scheme of digital coding. Our new method's important feature is switching from one chaos periodic orbit to another. Because our new digital coding scheme utilizes this important switching feature, we must incorporate certain changes in it, which are fully explained in the first topic, to make such utilization possible. The second topic is: the inverse mapping of chaos trajectory. The sequence obtained from evolving the system parameters of these chaos orbits through another nonlinear system is the key for reconstructing the orbits. To restore the system parameters, we adopt the inverse mapping of chaos trajectory based on the modified Newton-Raphson algorithm. Owing to its fast convergence, the algorithm shortens the parameter evolution sequence needed to reconstruct chaos periodic orbits, thus effectively speeding up information transmission. Finally we give as illustrative example a complete experiment on how to do coding and decoding according to our new method. The results of this experiment do show preliminarily that our new method is a highly-difficult-to-break but fast digital communication scheme.