Trisha Shetty (Editor)

Bogdanov map

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In dynamical systems theory, the Bogdanov map is a chaotic 2D map related to the Bogdanov–Takens bifurcation. It is given by the transformation:

{ x n + 1 = x n + y n + 1 y n + 1 = y n + ϵ y n + k x n ( x n 1 ) + μ x n y n

The Bogdanov map is named after Rifkat Bogdanov.

References

Bogdanov map Wikipedia