A novel approach for the potential parameters selection of Peyrard–Bishop model

The selection of the potential parameters is a very difficult question because the potentials entering the model are effective potentials. In this Letter, an approach for selecting potential parameters of the Peyrard–Bishop model by mean Lyapunov exponent is presented. Using the theory introduced by Shibata [H. Shibata, Physica A 264 (1999) 226] on the Peyrard–Bishop model shows that, the system is very sensitive to the parameters selection. The obtained results demonstrate that the best range for parameters are where the mean Lyapunov exponent has low values. Furthermore, there is a good correspondence between our results and other reports.