title: Different types of critical behavior in conservatively coupled Hénon maps.
abstract: We study the dynamics of two conservatively coupled Hénon maps at different levels of dissipation. It is shown that the decrease of dissipation leads to changes in the structure of the parameter plane and the scenarios of transition to chaos compared to the case of infinitely strong dissipation. Particularly, the Feigenbaum line becomes divided into several fragments. Some of these fragments have critical points of different types, namely, of C and H type, as their terminal points. Also the mechanisms of formation of these Feigenbaum line ruptures are described.
authors.affiliation: Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrakhanskaya Street 83, 410012, Saratov, Russia.
authors.forename: Dmitry V
authors.initials: DV
authors.lastname: Savin
authors.affiliation: Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrakhanskaya Street 83, 410012, Saratov, Russia.|Kotel'nikov Institute of Radioengineering and Electronics of RAS, Saratov Branch, Zelenaya Street 38, 410019, Saratov, Russia.
authors.forename: Alexander P
authors.initials: AP
authors.lastname: Kuznetsov
authors.affiliation: Department of Nonlinear Processes, Chernyshevsky Saratov State University, Astrakhanskaya Street 83, 410012, Saratov, Russia.
authors.forename: Alexey V
authors.initials: AV
authors.lastname: Savin
authors.affiliation: Institute for Chemistry and Biology of the Marine Environment, Carl von Ossietzky University Oldenburg, Carl von Ossietzky Street 9-11, D-26111, Oldenburg, Germany.
authors.forename: Ulrike
authors.initials: U
authors.lastname: Feudel