.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/chaos/interactive_and_animation/plot_plotly_trajectory.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_api_gallery_chaos_interactive_and_animation_plot_plotly_trajectory.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_api_gallery_chaos_interactive_and_animation_plot_plotly_trajectory.py:


Interactive Plotly Figures
============================

Alongside the Matplotlib helpers, :mod:`physicskit.chaos.visualizers.dynamic_plots`
provides interactive `Plotly <https://plotly.com/python/>`_ figures: a
trajectory you can pan and zoom, and an interactive Poincare section you can
hover over to inspect individual bounce points. The billiard used here is
the Sinai billiard: a square cell, :math:`|x|\le L/2,\ |y|\le L/2`, with a
circular scatterer of radius :math:`r_s` removed from its center,
:math:`x^2+y^2=r_s^2`, off of which the particle undergoes specular
reflection, :math:`\mathbf{v}' = \mathbf{v} - 2(\mathbf{v}\cdot\mathbf{n})
\,\mathbf{n}`, whenever it strikes the boundary.

.. GENERATED FROM PYTHON SOURCE LINES 15-21

.. code-block:: Python


    from physicskit.chaos.systems.billiards import SinaiBilliard
    from physicskit.chaos.visualizers.dynamic_plots import plotly_billiard_trajectory, plotly_poincare_section

    billiard = SinaiBilliard(cell_size=2.0, scatterer_radius=0.5)








.. GENERATED FROM PYTHON SOURCE LINES 22-24

Trajectory
----------

.. GENERATED FROM PYTHON SOURCE LINES 24-27

.. code-block:: Python

    fig_traj = plotly_billiard_trajectory(billiard, pos=billiard.sample_interior_point(), vel=(0.4, 0.9), n_bounces=150)
    fig_traj.show()








.. GENERATED FROM PYTHON SOURCE LINES 28-30

Poincare section
-----------------

.. GENERATED FROM PYTHON SOURCE LINES 30-32

.. code-block:: Python

    fig_poincare = plotly_poincare_section(billiard, n_rays=40, n_bounces=200, seed=0)
    fig_poincare.show()








.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.499 seconds)


.. _sphx_glr_download_api_gallery_chaos_interactive_and_animation_plot_plotly_trajectory.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_plotly_trajectory.ipynb <plot_plotly_trajectory.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_plotly_trajectory.py <plot_plotly_trajectory.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_plotly_trajectory.zip <plot_plotly_trajectory.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_