Zou Wei, Senthilkumar D V, Koseska Aneta, Kurths Jürgen
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China.
Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14415, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):050901. doi: 10.1103/PhysRevE.88.050901. Epub 2013 Nov 7.
Amplitude death (AD) and oscillation death (OD) are two structurally different oscillation quenching types in coupled nonlinear oscillators. The transition from AD to OD has been recently realized due to the interplay between heterogeneity and coupling strength [A. Koseska et al., Phys. Rev. Lett. 111, 024103 (2013)]. We identify here the transition from AD to OD in nonlinear oscillators with couplings of distinct natures. It is demonstrated that the presence of time delay in the coupling cannot induce such a transition in identical oscillators, but it can indeed facilitate its occurrence with a low degree of heterogeneity. Moreover, it is further shown that the AD to OD transition is reliably observed in identical oscillators with dynamic and conjugate couplings. The coexistence of AD and OD and rich stable OD configurations after the transition are revealed, which are of great significance for potential applications in physics, biology, and control studies.
振幅死亡（AD）和振荡死亡（OD）是耦合非线性振荡器中两种结构不同的振荡猝灭类型。由于异质性和耦合强度之间的相互作用，最近实现了从AD到OD的转变[A. Koseska等人，《物理评论快报》111, 024103 (2013)]。我们在此识别具有不同性质耦合的非线性振荡器中从AD到OD的转变。结果表明，耦合中时间延迟的存在不能在相同振荡器中诱导这种转变，但它确实可以在低异质性程度下促进其发生。此外，进一步表明在具有动态和共轭耦合的相同振荡器中可靠地观察到了从AD到OD的转变。揭示了AD和OD的共存以及转变后丰富的稳定OD构型，这对于物理、生物学和控制研究中的潜在应用具有重要意义。
