Synchronization in small-world networks.
In this paper we consider complete synchronization in small-world networks of identical Rössler oscillators. By applying a simple but effective dynamical optimization coupling scheme, we realize complete synchronization in networks with undelayed or delayed couplings, as well as ensuring that all oscillators have uniform intensities during the transition to synchronization. Further, we obtain the coupling matrix with much better synchronizability in a certain range of the probability p for adding long-range connections. Direct numerical simulations fully verify the efficiency of our mechanism.
Wu
Ye
Y
Center for Dynamics of Complex Systems, Potsdam Universität, Am Neuen Palais 10, D-14469 Potsdam, Germany.
Shang
Yun
Y
Chen
Maoyin
M
Zhou
Changsong
C
Kurths
Jürgen
J
D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback; D053858:Metabolic Networks and Pathways / Q000502:physiology*; D008962:Models, Theoretical; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*