ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

period-doublings

Dynamic regimes and multistability in the system of non-symmetrically coupled two-dimensional maps with period-doubling and Neimark–Sacker bifurcations

The phenomenon of multistability in the system of coupled universal two-dimensional maps which shows period-doubling and Neimark–Sacker bifurcations is investigated. The decreasing of possible coexisting attractors number, the evolution of the attractor basins, the disappearance of hyperchaos and three-dimensional torus while putting coupling asymmetry are exposed.

Multistable regimes in asymmetrically coupled period-­doubling systems

Multistable regimes in asymmetrically coupled logistic maps are investigated. The evolution of the multistability regions in the parameter plane and the basins of coexisting attractors are revealed.