In this paper we show, in terms of fracture-induced electromagnetic emissions (EME) that the Earth system around the focal areas came to critical condition a few days before the occurrence of each one of the two recent earthquakes of Kefalonia (Cephalonia), Greece. Specifically, EME were recorded two days prior to the first earthquake [(38.22o N, 20.53oE), 26 January 2014, M=6.1] & six days prior to the second one [(38.26o N, 20.39oE), 03 February 2014, M=6.0]. Specifically, the MHz EME recorded by the remote telemetric stations on the island of Kefalonia and the neighboring island of Zante came simultaneously to critical condition in both cases. The analysis was performed by means of the method of critical fluctuations (MCF) revealing critical features.

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