.. _sphx_glr_auto_examples_states:

States
======

Common synchronization states generated with :func:`~hypersynchronization.generate_state`.
Each example shows the phase distribution on a circle (left) and phase
values ordered by node index (right).


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="In a splay state phases are evenly distributed on the circle. The order parameter R1 = 0. Phases increase linearly with node index.">

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  .. image:: /auto_examples/states/images/thumb/sphx_glr_plot_splay_thumb.png
    :alt:

  :doc:`/auto_examples/states/plot_splay`

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      <div class="sphx-glr-thumbnail-title">Splay state</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In a synchronized state all oscillators share the same phase. The order parameter R1 = 1.">

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  .. image:: /auto_examples/states/images/thumb/sphx_glr_plot_sync_thumb.png
    :alt:

  :doc:`/auto_examples/states/plot_sync`

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      <div class="sphx-glr-thumbnail-title">Sync state</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In a q-twisted state the phases wind q times around the circle with node index. For q=2 the phase-vs-index plot shows two full cycles, distinguishing it from the splay state (q=1).">

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  .. image:: /auto_examples/states/images/thumb/sphx_glr_plot_2_twisted_thumb.png
    :alt:

  :doc:`/auto_examples/states/plot_2_twisted`

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      <div class="sphx-glr-thumbnail-title">Two-twisted state</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In a 2-cluster state oscillators split into two groups separated by π. The order parameter R1 reflects the imbalance between cluster sizes, and R2 = 1.">

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  .. image:: /auto_examples/states/images/thumb/sphx_glr_plot_2_cluster_thumb.png
    :alt:

  :doc:`/auto_examples/states/plot_2_cluster`

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      <div class="sphx-glr-thumbnail-title">Two-cluster state</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /auto_examples/states/plot_splay
   /auto_examples/states/plot_sync
   /auto_examples/states/plot_2_twisted
   /auto_examples/states/plot_2_cluster