Exponential Synchronization Rate of Kuramoto Oscillators in the Presence of a Pacemaker

DOI10.1109/TAC.2012.2215772zbMath1369.34055arXiv1209.0811OpenAlexW2001694386WikidataQ42101926 ScholiaQ42101926MaRDI QIDQ5353182

Francis J. III. Doyle, Yong-Qiang Wang

Publication date: 8 September 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0811

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

Synchronization in Pulse-Coupled Oscillators with Delayed Excitatory/Inhibitory Coupling ⋮ Synchronization of Kuramoto-oscillator networks under event-triggered delayed impulsive control ⋮ Exponential synchronization for nonidentical high-dimensional Kuramoto model ⋮ Synchronization in complex networks of phase oscillators: a survey ⋮ Convergence of analytic gradient-type systems with periodicity and its applications in Kuramoto models ⋮ The influence of global cues and local coupling on the rate of synchronization in the presence of time delays ⋮ Adaptive feedback synchronisation of complex dynamical network with discrete-time communications and delayed nodes ⋮ Synchronization of Kuramoto Oscillators: Inverse Taylor Expansions ⋮ Synchronisation of heterogeneous Kuramoto oscillators with sampled information and a constant leader

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