A parametrically modulated Hénon map

In this work we consider a situation in which the two parameters of a Hénon map are linearly modulated by the output of another Hénon map, whose parameters are constant in time but can be adjusted. More specifically, here we numerically investigate modifications in basins of attraction of coexisting states, and shift in the location of critical points in bifurcation diagrams of a Hénon map, by virtue of periodic parametric modulation from another Hénon map.