title: Emergence of amplitude and oscillation death in identical coupled oscillators.
abstract: We deduce rigorous conditions for the onset of amplitude death (AD) and oscillation death (OD) in a system of identical coupled paradigmatic Stuart-Landau oscillators. A nonscalar coupling and high frequency are beneficial for the onset of AD. In strong contrast, scalar diffusive coupling and low intrinsic frequency are in favor of the emergence of OD. Our finding contributes to clearly distinguish intrinsic geneses for AD and OD, and further substantially corroborates that AD and OD are indeed two dynamically distinct oscillation quenching phenomena due to distinctly different mechanisms.
authors.affiliation: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Zou
authors.affiliation: Center for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613401, India.
authors.forename: D V
authors.initials: DV
authors.lastname: Senthilkumar
authors.affiliation: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Jinqiao
authors.initials: J
authors.lastname: Duan
authors.affiliation: Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14415, Germany and Institute of Physics, Humboldt University Berlin, Berlin D-12489, Germany and Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, United Kingdom and Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950, Nizhny Novgorod, Russia.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths
mesh_terms: D017711:Nonlinear Dynamics