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| Titel |
Dynamics of simple earthquake model with time delay and variation of friction strength |
| VerfasserIn |
S. Kostić, N. Vasović, I. Franović, K. Todorović |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 20, no. 5 ; Nr. 20, no. 5 (2013-10-29), S.857-865 |
| Datensatznummer |
250086061
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| Publikation (Nr.) |
 copernicus.org/npg-20-857-2013.pdf |
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| Zusammenfassung |
| We examine the dynamical behaviour of the phenomenological
Burridge–Knopoff-like model with one and two blocks, where the friction term
is supplemented by the time delay τ and the variable friction strength
c. Time delay is assumed to reflect the initial quiescent period of the fault
healing, considered to be a function of history of sliding. Friction
strength parameter is proposed to mimic the impact of fault gouge thickness
on the rock friction. For the single-block model, interplay of the
introduced parameters c and τ is found to give rise to oscillation
death, which corresponds to aseismic creeping along the fault. In the case
of two blocks, the action of c1, c2, τ1 and τ1
may result in several effects. If both blocks exhibit oscillatory motion
without the included time delay and frictional strength parameter, the model
undergoes transition to quasiperiodic motion if only c1 and c2 are
introduced. The same type of behaviour is observed when τ1 and
τ2 are varied under the condition c1 = c2. However, if
c1, and τ1 are fixed such that the given block would
lie at the equilibrium while c2 and τ2 are varied, the
(c2, τ2) domains supporting quasiperiodic motion are
interspersed with multiple domains admitting the stationary solution. On the
other hand, if (c1, τ1) warrant oscillatory behaviour of
one block, under variation of c2 and τ2 the system's
dynamics is predominantly quasiperiodic, with only small pockets of
(c2, τ2) parameter space admitting the periodic motion or
equilibrium state. For this setup, one may also find a transient chaos-like
behaviour, a point corroborated by the positive value of the maximal Lyapunov
exponent for the corresponding time series. |
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