Local synchronization in complex networks of coupled oscillators |
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Authors: | Stout John Whiteway Matthew Ott Edward Girvan Michelle Antonsen Thomas M |
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Institution: | Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA. jestout@ncsu.edu |
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Abstract: | We investigate the effects that network topology, natural frequency distribution, and system size have on the path to global synchronization as the overall coupling strength between oscillators is increased in a Kuramoto network. In particular, we study the scenario recently found by Go?mez-Garden?es et al. Phys. Rev. E 73, 056124 (2006)] in which macroscopic global synchronization emerges through a process whereby many small synchronized clusters form, grow, and merge, eventually leading to a macroscopic giant synchronized component. Our main result is that this scenario is robust to an increase in the number of oscillators or a change in the distribution function of the oscillators' natural frequencies, but becomes less prominent as the number of links per oscillator increases. |
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