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In this Letter, the ordered and disordered regions of the field variable of an oscillator chain are studied. For this purpose, the mean Lyapunov exponent (MLE) theory is applied to the helicoidal Peyrard–Bishop (hPB) model. Applying mean Lyapunov exponent theory introduced by Shibata [H. Shibata, Physica A 264 (1999) 226] on the model shows that, the system is very sensitive to the potential parameters...
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...
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