Multistability formation and synchronization loss in coupled Hénon maps: two sides of the single bifurcational mechanism.
We investigate phenomena of multistability and complete chaos synchronization in coupled Hénon maps, which is an invertible system. Multiparametric analysis of a selected family of periodic orbits for coupled Henon maps shows that a single bifurcational mechanism describes both a loss of chaos synchronization and multistability formation. The process of bubbling transition and riddle basins, and the multistability formation in invertible systems are described in detail.
Astakhov
V
V
Department of Physics, Saratov State University, Astrakhanskaya 83, 410071 Saratov, Russia.
Shabunin
A
A
Uhm
W
W
Kim
S
S