1Research Institute for Global Change, JAMSTEC, Yokosuka, Japan
2Institute for Research on Earth Evolution, JAMSTEC, Yokohama, Japan
Received: 27 Sep 2013 – Revised: 13 Dec 2013 – Accepted: 28 Dec 2013 – Published: 24 Feb 2014
Abstract. A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical Hopf bifurcation. The two-oscillator system that has similar weakly coupled oscillators exhibits synchronization in a parameter range. The synchronization has an anti-phase nature for an identical pair. However, it tends to be more in-phase for a non-identical pair with a rather weak coupling. A system of three identical oscillators (1, 2, and 3) coupled in a line (with two springs k12=k23) exhibits synchronization with two of them (1 and 2 or 2 and 3) being nearly in-phase. These collective behaviours are systematically estimated using the phase reduction method.
Sugiura, N., Hori, T., and Kawamura, Y.: Synchronization of coupled stick-slip oscillators, Nonlin. Processes Geophys., 21, 251-267, doi:10.5194/npg-21-251-2014, 2014.