biocircuits.phase_portrait

biocircuits.phase_portrait(du_dt, dv_dt, u_range, v_range, args_u=(), args_v=(), log=False, p=None, zoomable=False, **kwargs)

Plots the phase portrait for a 2D dynamical system in the u-v plane.

Parameters:

• du_dt (function) – A function to compute the right hand side of du/dt. Must have call signature du_dt(u, v, *args_u). Note that there can be no explicit time dependence.

• dv_dt (function) – A function to compute the right hand side of dv/dt. Must have call signature dv_dt(u, v, *args_v). Note that there can be no explicit time dependence.

• u_range (array_like, shape (2,)) – Minimum and maximum values of u to consider.

• v_range (array_like, shape (2,)) – Minimum and maximum values of v to consider.

• args_u (tuple, default ()) – Tuple of extra arguments to be passed to du_dt.

• args_v (tuple, default ()) – Tuple of extra arguments to be passed to dv_dt.

• log (bool, default False) – If True, plot u and v on a logarithmic scale.

• p (bokeh.plotting.Figure instance, default None) – Figure to use for the phase portrait. If None, a new one is created according to streamplot().

• zoomable (bool, default False) – If True, generates a zoomable plot where the streamlines will be redrawn to correspond for the level so zoom. This requires Python to be running for the plot to render.

• kwargs – All other kwargs are passed to streamplot.

Returns:

output

Return type:

bokeh.plotting.Figure instance populated with streamplot