title: Collective dynamics in two populations of noisy oscillators with asymmetric interactions.
abstract: We study two intertwined globally coupled networks of noisy Kuramoto phase oscillators that have the same natural frequency but differ in their perception of the mean field and their contribution to it. Such a give-and-take mechanism is given by asymmetric in- and out-coupling strengths which can be both positive and negative. We uncover in this minimal network of networks intriguing patterns of discordance, where the ensemble splits into two clusters separated by a constant phase lag. If it differs from π, then traveling wave solutions emerge. We observe a second route to traveling waves via traditional one-cluster states. Bistability is found between the various collective states. Analytical results and bifurcation diagrams are derived with a reduced system.
authors.affiliation: Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Bernard
authors.initials: B
authors.lastname: Sonnenschein
authors.affiliation: Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970 São Carlos, São Paulo, Brazil.|Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany.
authors.forename: Thomas K Dm
authors.initials: TK
authors.lastname: Peron
authors.affiliation: Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CP 668, 13560-970 São Carlos, São Paulo, Brazil.
authors.forename: Francisco A
authors.initials: FA
authors.lastname: Rodrigues
authors.affiliation: Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.|Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
authors.affiliation: Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Lutz
authors.initials: L
authors.lastname: Schimansky-Geier
mesh_terms: D008962:Models, Theoretical; D013997:Time Factors