Scale-free topologies emerging from a dynamical entrainment of a complex network
published: Oct. 17, 2008, recorded: September 2008, views: 3591
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
I show that the topology and dynamics of a network of unsynchronized Kuramoto oscillators can be simultaneously controlled by means of a forcing mechanism which yields a phase locking of the oscillators to that of an external pacemaker in connection with the reshaping of the network's degree distribution. The entrainment mechanism is based on the addition, at regular time intervals, of unidirectional links from oscillators that follow the dynamics of a pacemaker to oscillators in the pristine graph whose phases hold a prescribed phase relationship. Such a dynamically based rule in the attachment process leads to the emergence of a power-law shape in the final degree distribution of the graph whenever the network is entrained to the dynamics of the pacemaker. I show that the arousal of a scale-free distribution in connection with the success of the entrainment process is a robust feature, characterizing different network's initial configurations and parameters.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !