Necessary condition for frequency synchronization in network structures
F Mori - Physical review letters, 2010 - APS
Physical review letters, 2010•APS
We present the necessary condition for complete frequency synchronization of phase-
coupled oscillators in network structures. The surface area of a set of sites is defined as the
number of links between the sites within the set and those outside the set. The necessary
condition is that the surface area of any set of c N (0< c< 1) oscillators in the N-oscillator
system must exceed N in the limit N→∞. We also provide the necessary condition for
macroscopic frequency synchronization. Thus, we identify networks in which one or both of …
coupled oscillators in network structures. The surface area of a set of sites is defined as the
number of links between the sites within the set and those outside the set. The necessary
condition is that the surface area of any set of c N (0< c< 1) oscillators in the N-oscillator
system must exceed N in the limit N→∞. We also provide the necessary condition for
macroscopic frequency synchronization. Thus, we identify networks in which one or both of …
We present the necessary condition for complete frequency synchronization of phase-coupled oscillators in network structures. The surface area of a set of sites is defined as the number of links between the sites within the set and those outside the set. The necessary condition is that the surface area of any set of () oscillators in the -oscillator system must exceed in the limit . We also provide the necessary condition for macroscopic frequency synchronization. Thus, we identify networks in which one or both of the above mentioned types of synchronization do not occur.
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