Large coupled oscillator systems with heterogeneous interaction delays

Details Large coupled oscillator systems with heterogeneous interaction delays Large coupled oscillator systems with heterogeneous interaction delays

2009-03-07

arxiv.org/abs/0903.1372v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures; additional results reported in Fig.2, and increased comments in text

Scientific paper

In order to discover generic effects of heterogeneous communication delays on the dynamics of large systems of coupled oscillators, this paper studies a modification of the Kuramoto model incorporating a distribution of interaction delays. By focusing attention on the reduced dynamics on an invariant manifold of the original system, we derive governing equations for the system which we use to study stability of the incoherent states and the dynamical transitional behavior from stable incoherent states to stable coherent states. We find that spread in the distribution function of delays can greatly alter the system dynamics.

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