The Bogdanov map is a two-dimensional map which is conjugate to the Hénon map in its nondissipative limit. It is given by
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Bogdanov Map
See also
Hénon MapExplore with Wolfram|Alpha
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 MapCite this as:
Weisstein, Eric W. "Bogdanov Map." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BogdanovMap.html