title: Transition from amplitude to oscillation death via Turing bifurcation.
abstract: Coupled oscillators are shown to experience two structurally different oscillation quenching types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and OD can occur in one system and find that the transition between them underlies a classical, Turing-type bifurcation, providing a clear classification of these significantly different dynamical regimes. The implications of obtaining a homogeneous (AD) or inhomogeneous (OD) steady state, as well as their significance for physical and biological applications and control studies, are also pointed out.
authors.affiliation: Institute of Physics, Humboldt-University, 10099 Berlin, Germany. aneta.koseska@mpi-dortmund.mpg.de
authors.forename: Aneta
authors.initials: A
authors.lastname: Koseska
authors.forename: Evgenii
authors.initials: E
authors.lastname: Volkov
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D001683:Biological Clocks; D008962:Models, Theoretical; D017711:Nonlinear Dynamics