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dc.creatorKostić, Srdan
dc.creatorFranović, Igor
dc.creatorTodorović, Kristina
dc.creatorVasović, Nebojša
dc.date.accessioned2019-09-02T11:35:38Z
dc.date.available2019-09-02T11:35:38Z
dc.date.issued2013
dc.identifier.issn0924-090X
dc.identifier.urihttp://farfar.pharmacy.bg.ac.rs/handle/123456789/1972
dc.description.abstractIn present paper, an effect of delayed frictional healing on complex dynamics of simple model of earthquake nucleation is analyzed, following the commonly accepted assumption that frictional healing represents the main mechanism for fault restrengthening. The studied model represents a generalization of Burridge-Knopoff single-block model with Dieterich-Ruina's rate and state dependent friction law. The time-dependent character of the frictional healing process is modeled by introducing time delay tau in the friction term. Standard local bifurcation analysis of the obtained delay-differential equations demonstrates that the observed model exhibits Ruelle-Takens-Newhouse route to chaos. Domain in parameters space where the solutions are stable for all values of time delay is determined by applying the Rouch, theorem. The obtained results are corroborated by Fourier power spectra and largest Lyapunov exponents techniques. In contrast to previous research, the performed analysis reveals that even the small perturbations of the control parameters could lead to deterministic chaos, and, thus, to instabilities and earthquakes. The obtained results further imply the necessity of taking into account this delayed character of frictional healing, which renders complex behavior of the model, already captured in the case of more than one block.en
dc.publisherSpringer, Dordrecht
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/176016/RS//
dc.rightsrestrictedAccess
dc.sourceNonlinear Dynamics
dc.subjectSpring-block modelen
dc.subjectState variableen
dc.subjectTime delayen
dc.subjectQuasiperiodicityen
dc.subjectDeterministic chaosen
dc.titleFriction memory effect in complex dynamics of earthquake modelen
dc.typearticle
dc.rights.licenseARR
dcterms.abstractВасовић, Небојша; Костић, Срдан; Тодоровић, Кристина; Франовић, Игор;
dc.citation.volume73
dc.citation.issue3
dc.citation.spage1933
dc.citation.epage1943
dc.citation.other73(3): 1933-1943
dc.citation.rankaM21
dc.identifier.wos000322014200059
dc.identifier.doi10.1007/s11071-013-0914-8
dc.identifier.scopus2-s2.0-84880917220
dc.identifier.rcubconv_2877
dc.type.versionpublishedVersion


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