title: Emergence and multistability of time-periodic states in a population of noisy passive rotators with time-lag coupling.
abstract: We study the onset of the time-periodic distribution of phases in a population of a large number of passive rotators in asymmetric potential and time-delayed antiferromagnetic mean-field coupling. The threshold between the stationary and the time-periodic states is found exactly by solving the linearized Fokker-Planck equation using the numerical continuation technique. A typical scenario of the reversal of the left- and right-running phases by the asymmetric potential is demonstrated. Analytical results are supported by numerical simulations of the Langevin equations.
authors.affiliation: Department of Mathematics and Applied Mathematics, University of Cape Town, Cape Town 7701, Rondebosch, South Africa.
authors.forename: A
authors.initials: A
authors.lastname: Pototsky
mesh_terms: D008962:Models, Theoretical; D010507:Periodicity; D012399:Rotation; D013997:Time Factors