https://doi.org/10.1140/epjp/s13360-022-02384-5
Regular Article
Complex dynamic of two-block model for earthquake induced by periodic stress disturbances
1
Unity of Research of Mechanics and Modelling of Physical Systems, Department of Physics, Faculty of Science, University of Dschang, PO Box 69, Dschang, Cameroon
2
Unity of Research of Condensed Matter, Electronic and Signal Processing, Department of Physics, Faculty of Science, University of Dschang, PO Box 69, Dschang, Cameroon
3
Higher Technical Teachers Training College, University of Bamenda, PO.Box 39, Bambili, Cameroon
4
Laboratoire de Mecanique, Faculté des sciences, Université de Yaoundé I, BP 812, Yaoundé, Cameroun
Received:
13
September
2021
Accepted:
9
January
2022
Published online:
27
January
2022
In this paper, we study the effect of perturbation stress on the train model of Burridge–Knopoff. We consider periodic perturbation of the periodic normal pressure and the friction parameter. Unlike the undisturbed case where the loading velocity is constant, the “apparent” loading velocity varies with time and with disturbance parameters. It emerges from this study that the disturbances of the parameters can considerably affect the duration of the inter-seismic phase. The conditions of the flid bifurcation and flod bifurcation are defined. The periodic perturbation can induce complex dynamics in the system. We show that the blocks can exhibit periodic stick–slip motion (period-1, period-2, and period-3) and the irregular (chaos) stick–slip motion when the disturbance frequency varies. The results show that even a small variation of a parameter can lead to drastic changes of the dynamics, providing new insight into the fault dynamics.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
