Low-dimensional behavior of Kuramoto model with inertia in complex networks

Abstract

Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we generalize the Ott-Antonsen ansatz to second-order Kuramoto models in complex networks. With an additional inertia term, we find a low-dimensional behavior similar to the first-order Kuramoto model, derive a self-consistent equation and seek the time-dependent derivation of the order parameter. Numerical simulations are also conducted to verify our analytical results.

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References in corpus (3)

• Synchronization in complex networks
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Determining the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations

Cited by in corpus (6)

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• Cyclops states in repulsive Kuramoto networks: the role of higher-order coupling
• Stability of rotatory solitary states in Kuramoto networks with inertia
• Bifurcations and patterns in the Kuramoto model with inertia
• Influence of cumulative damage on synchronization of Kuramoto oscillators on networks
• Synchronization structures in the chain of rotating pendulums