Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2009-08-31
Acta Phys. Pol. B [Proceedings Supplement 3] (2010), 453
Nonlinear Sciences
Adaptation and Self-Organizing Systems
10 pages, 5 figures, presented at the Summer Solstice 2009 International Conference on Discrete Models of Complex Systems, sub
Scientific paper
A modified Kuramoto model of synchronization in a finite discrete system of locally coupled oscillators is studied. The model consists of N oscillators with random natural frequencies arranged on a ring. It is shown analytically and numerically that finite-size systems may have many different synchronized stable solutions which are characterised by different values of the winding number. The lower bound for the critical coupling is given, as well as an algorithm for its exact calculation. It is shown that in general phase-locking does not lead to phase coherence in 1D.
Gora Pawel F.
Ochab J.
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