title: Amplitude death in nonlinear oscillators with mixed time-delayed coupling.
abstract: Amplitude death (AD) is an emergent phenomenon whereby two or more autonomously oscillating systems completely lose their oscillations due to coupling. In this work, we study AD in nonlinear oscillators with mixed time-delayed coupling, which is a combination of instantaneous and time-delayed couplings. We find that the mixed time-delayed coupling favors the onset of AD for a larger set of parameters than in the limiting cases of purely instantaneous or completely time-delayed coupling. Coupled identical oscillators experience AD under instantaneous coupling mixed with a small proportion of time-delayed coupling. Our work gives a deeper understanding of delay-induced AD in coupled nonlinear oscillators.
authors.affiliation: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Institute of Physics, Humboldt University Berlin, Berlin D-12489, Germany and Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14415, Germany.
authors.forename: Wei
authors.initials: W
authors.lastname: Zou
authors.forename: D V
authors.initials: DV
authors.lastname: Senthilkumar
authors.forename: Yang
authors.initials: Y
authors.lastname: Tang
authors.forename: Ye
authors.initials: Y
authors.lastname: Wu
authors.forename: Jianquan
authors.initials: J
authors.lastname: Lu
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths