Multistability annihilation in the Hénon map through parameters modulation

We consider a situation in which the two parameters of a Hénon map are modulated by the output of another Hénon map. Two cases are considered. Firstly, we investigate the behavior of the Hénon map when its parameters are modulated by another Hénon map, this last working in a high dissipative regime. Secondly, we use a Hénon map working in a low dissipative regime as the modulation. We show that, regardless of the considered case, multistability can be suppressed by the modulation.

► We consider the modulation of the parameters of a Hénon map, by a second Hénon map. ► We consider the modulator Hénon map working in a high dissipative regime. ► The modulator Hénon map working in a low dissipative regime also is considered. ► Regardless the modulator regime, multistability may be suppressed in the Hénon map.