Bick Christian, Sebek Michael, Kiss István Z
Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, OX2 6GG Oxford , United Kingdom.
Centre for Systems Dynamics and Control and Department of Mathematics, University of Exeter, EX4 4QF Exeter, United Kingdom.
Phys Rev Lett. 2017 Oct 20;119(16):168301. doi: 10.1103/PhysRevLett.119.168301. Epub 2017 Oct 19.
We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two populations of (at least) two elements using a general method based on a delayed interaction with linear and quadratic terms. The coupling design yields robust chimeras through a phase-model-based design of the delay and the ratio of linear and quadratic components of the interactions. We demonstrate the method in the Brusselator model and experiments with electrochemical oscillators. The technique opens the way to directly bridge chimera dynamics in phase models and real-world oscillator networks.
我们提出了一种方法，利用基于线性和二次项延迟相互作用的通用方法，在具有两个（至少）两个元素种群的振荡器网络中生成嵌合动力学（局部频率同步）。通过基于相位模型的延迟设计以及相互作用的线性和二次分量的比率，耦合设计产生了稳健的嵌合体。我们在布鲁塞尔振子模型和电化学振荡器实验中演示了该方法。该技术为直接连接相位模型中的嵌合动力学与实际振荡器网络开辟了道路。
