brainpy.datasets.chaos.henon_map_series#

brainpy.datasets.chaos.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

1

https://brainpy-examples.readthedocs.io/en/latest/classical_dynamical_systems/henon_map.html

1

https://en.wikipedia.org/wiki/H%C3%A9non_map