File:GM map phase space plot 5.png

English: A strange attractor of Gumowski-Mira map given by the 2-dimensional discrete dynamical system:

${\displaystyle x_{n+1}=y_{n}+\alpha y_{n}(1-\sigma y_{n}^{2})+g(x_{n}),}$

${\displaystyle y_{n+1}=-x_{n}+g(x_{n+1}).}$

Where,

${\displaystyle g(x)=\mu x+(1-\mu )x^{2}\exp({\frac {1-x^{2}}{4}}).}$

The parameters are α = 0.01, σ = 0.1, μ = 0.8. The initial values are x₀ = 0.1, y₀ = 0. The diagram is showing the plots of iterations from n = 2000 to n = 100000.