title: Traveling phase waves in asymmetric networks of noisy chaotic attractors.
abstract: We explore identical Rössler systems organized into two equally sized groups, among which differing positive and negative in- and out-coupling strengths are allowed. With this asymmetric coupling, we analyze patterns in the phase dynamics that coexist with chaotic amplitudes. We specifically investigate traveling phase waves where the oscillators settle on a new rhythm different from their own. We show that these waves are possible even without coherence in the phase angles. It is further demonstrated that the emergence of these incoherent traveling waves depends on the type of coupling, not on the individual dynamics of the Rössler systems. Together with the study of noise effects, our results suggest a promising new avenue toward the interplay of chaotic, noisy, coherent, and incoherent collective dynamics.
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: Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany.|Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
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.
authors.forename: Lutz
authors.initials: L
authors.lastname: Schimansky-Geier
authors.affiliation: Department of Physics, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Bernard
authors.initials: B
authors.lastname: Sonnenschein