Zou Wei, Senthilkumar D V, Duan Jinqiao, Kurths Jürgen
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.
Center for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur 613401, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Sep;90(3):032906. doi: 10.1103/PhysRevE.90.032906. Epub 2014 Sep 8.
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.
我们推导了相同耦合的典型斯图尔特 - 兰道振子系统中振幅死亡（AD）和振荡死亡（OD）发生的严格条件。非标量耦合和高频有利于AD的发生。形成强烈对比的是，标量扩散耦合和低固有频率有利于OD的出现。我们的发现有助于清晰地区分AD和OD的内在成因，并且进一步有力地证实了AD和OD确实是由于截然不同的机制而产生的两种动态不同的振荡猝灭现象。
