Saint Petersburg State University, Saint Petersburg, Russia.
Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
Philos Trans A Math Phys Eng Sci. 2019 Sep 9;377(2153):20180128. doi: 10.1098/rsta.2018.0128. Epub 2019 Jul 22.
We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh-Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer. This article is part of the theme issue 'Nonlinear dynamics of delay systems'.
我们研究了具有非局部和分形连接的时滞耦合 FitzHugh-Nagumo 振子的复发性网络的时空动力学。除了嵌同状态外，还发现了一种新的慢和快振荡共存的状态。对这种共存的部分同步模式的出现给出了一个分析解释。此外，我们还提出了一种用于每层中快、慢神经元数量的控制方案。本文是“时滞系统的非线性动力学”主题的一部分。
