title: The role of asymmetrical and repulsive coupling in the dynamics of two coupled van der Pol oscillators.
abstract: A system of two asymmetrically coupled van der Pol oscillators has been studied. We show that the introduction of a small asymmetry in coupling leads to the appearance of a "wideband synchronization channel" in the bifurcational structure of the parameter space. An increase of asymmetry and transition to repulsive interaction leads to the formation of multistability. As the result, the tip of the Arnold's tongue widens due to the formation of folds defined by saddle-node bifurcation curves for the limit cycles on the torus.
authors.affiliation: Information Security of Automated Systems Department, Yuri Gagarin State Technical University of Saratov, Politekhnitcheskaya st. 77, Saratov 410054, Russia.
authors.forename: Sergey
authors.initials: S
authors.lastname: Astakhov
authors.affiliation: Radioelectronics and Telecommunications Department, Yuri Gagarin State Technical University of Saratov, Politekhnitcheskaya st. 77, Saratov 410054, Russia.
authors.forename: Artem
authors.initials: A
authors.lastname: Gulai
authors.affiliation: Center for Spatial Information Science, The University of Tokyo, 277-8568 Chiba, Japan.
authors.forename: Naoya
authors.initials: N
authors.lastname: Fujiwara
authors.affiliation: Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths