Journal article

A complex systems analysis of stick-slip dynamics of a laboratory fault

David M Walker, Antoinette Tordesillas, Michael Small, Robert P Behringer, Chi K Tse

CHAOS | AMER INST PHYSICS | Published : 2014

Abstract

We study the stick-slip behavior of a granular bed of photoelastic disks sheared by a rough slider pulled along the surface. Time series of a proxy for granular friction are examined using complex systems methods to characterize the observed stick-slip dynamics of this laboratory fault. Nonlinear surrogate time series methods show that the stick-slip behavior appears more complex than a periodic dynamics description. Phase space embedding methods show that the dynamics can be locally captured within a four to six dimensional subspace. These slider time series also provide an experimental test for recent complex network methods. Phase space networks, constructed by connecting nearby phase spa..

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Grants

Awarded by US ARO


Awarded by ARC


Awarded by HKUGC


Awarded by ARC Future Fellowship


Funding Acknowledgements

We thank the anonymous referees whose comments helped improve the manuscript. This work was supported by US ARO (W911NF-11-1-0175), the ARC (DP0986876 and DP120104759), and the Melbourne Energy Institute (AT, DMW) and HKUGC grant number PolyU 5262/11E. M.S. was supported by an ARC Future Fellowship (FT110100896) and thanks the Melbourne Energy Institute for travel support. We thank R. Xiang, X. Xu, and Y. Chang for discussions during the preparation of this manuscript.