.. _sphx_glr_api_gallery_ode_dynamics_synchronization:

Synchronization
---------------

The Kuramoto model's transition from incoherence to collective synchrony.


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    <div class="sphx-glr-thumbcontainer" tooltip="A thousand oscillators with Lorentzian-distributed natural frequencies stay incoherent for weak coupling. Above the critical coupling K_c = 2\gamma a synchronized cluster forms, and the steady coherence follows Kuramoto&#x27;s exact result r = \sqrt{1 - K_c/K}.">

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  :doc:`/api/gallery/ode_dynamics/synchronization/plot_01_kuramoto`

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      <div class="sphx-glr-thumbnail-title">The Kuramoto synchronization transition</div>
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   /api/gallery/ode_dynamics/synchronization/plot_01_kuramoto