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Bogdanov Map

A two-dimensional map which is conjugate to the Hénon map in its nondissipative limit. It is given by

x^'=x+y^'
(1)
y^'=y+epsilony+kx(x-1)+muxy.
(2)

See also

Hénon Map

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References

Arrowsmith, D. K.; Cartwright, J. H. E.; Lansbury, A. N.; and Place, C. M. "The Bogdanov Map: Bifurcations, Mode Locking, and Chaos in a Dissipative System." Int. J. Bifurcation Chaos 3, 803-842, 1993.Bogdanov, R. "Bifurcations of a Limit Cycle for a Family of Vector Fields on the Plane." Selecta Math. Soviet 1, 373-388, 1981.

Referenced on Wolfram|Alpha

Bogdanov Map

Cite this as:

Weisstein, Eric W. "Bogdanov Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BogdanovMap.html

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