brainpy.datasets.chaotic_systems.henon_map_series
brainpy.datasets.chaotic_systems.henon_map_series#
- brainpy.datasets.chaotic_systems.henon_map_series(num_step, a=1.4, b=0.3, inits=None, numpy_mon=False)[source]#
The Hénon map time series.
The Hénon map is a discrete-time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior.
\[\begin{split}\begin{split}\begin{cases}x_{n+1} = 1-a x_n^2 + y_n\\y_{n+1} = b x_n.\end{cases}\end{split}\end{split}\]The map depends on two parameters, a and b, which for the classical Hénon map have values of a = 1.4 and b = 0.3. For the classical values the Hénon map is chaotic.
References