.. _sphx_glr_api_gallery_chaos_maps:

Discrete Maps
-------------

Examples illustrating the two discrete chaotic maps in
:mod:`physicskit.chaos.systems.maps`: the Chirikov-Taylor Standard Map and the Henon
Map.


.. raw:: html

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


.. raw:: html

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

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The (generalized) baker&#x27;s map cuts the unit square [0,1) \times [0,1) at x=\alpha, stretches each piece horizontally back to unit width (contracting it vertically to match), and stacks the two pieces:">

.. only:: html

  .. image:: /api/gallery/chaos/maps/images/thumb/sphx_glr_plot_bakers_map_thumb.gif
    :alt:

  :doc:`/api/gallery/chaos/maps/plot_bakers_map`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Baker's Map: Stretch, Cut, and Stack</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The Henon map is a simple 2D quadratic map,">

.. only:: html

  .. image:: /api/gallery/chaos/maps/images/thumb/sphx_glr_plot_henon_map_thumb.png
    :alt:

  :doc:`/api/gallery/chaos/maps/plot_henon_map`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Henon Map</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The logistic map,">

.. only:: html

  .. image:: /api/gallery/chaos/maps/images/thumb/sphx_glr_plot_logistic_map_thumb.gif
    :alt:

  :doc:`/api/gallery/chaos/maps/plot_logistic_map`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Logistic Map: the Period-Doubling Route to Chaos</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The Chirikov-Taylor standard map is an area-preserving (symplectic) map on the cylinder (\theta, p) \in [0, 2\pi) \times [0, 2\pi), obtained by kicking a free rotor once per period with a torque k \sin\theta:">

.. only:: html

  .. image:: /api/gallery/chaos/maps/images/thumb/sphx_glr_plot_standard_map_thumb.gif
    :alt:

  :doc:`/api/gallery/chaos/maps/plot_standard_map`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Standard Map</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/chaos/maps/plot_bakers_map
   /api/gallery/chaos/maps/plot_henon_map
   /api/gallery/chaos/maps/plot_logistic_map
   /api/gallery/chaos/maps/plot_standard_map