论文标题
具有扩增的多层网络的动力学
Dynamics of multilayer networks with amplification
论文作者
论文摘要
我们研究了经受放大的混沌振荡器多层网络的动力学。先前的研究已经证明，多层网络呈现同步，群集和嵌合体状态等现象。在这里，我们考虑了一个具有两层Roessler混乱振荡器的网络，以及用于混乱混乱和Lienard振荡器的多层网络的应用。对于Roessler振荡器，用于混蛋振荡器的环和Lienard的全球平均场耦合的情况下，内部耦合被认为是所有人的全部，在Lienard的情况下，在这三种情况下，互层耦合都是单向的。第二层具有扩增系数。对使用主稳定性函数和顺序参数的Roessler振荡器网络的深入研究导致了几种现象，例如随着扩增的完整同步，广义，群集和相位同步。对于Roessler振荡器的情况，我们注意到，耦合参数的某些值和放大值不存在，或者同步可以存在，但可以存在，但没有扩增。使用其他具有不同拓扑结构的系统，我们获得了一些有趣的结果，例如具有扩增的嵌合体状态，具有扩增的群集状态和与扩增的完全同步。
We study the dynamics of a multilayer network of chaotic oscillators subject to an amplification. Previous studies have proven that multilayer networks present phenomena such as synchronization, cluster and chimera states. Here we consider a network with two layers of Roessler chaotic oscillators as well as applications to multilayer networks of chaotic jerk and Lienard oscillators. Intralayer coupling is considered to be all to all in the case of Roessler oscillators, a ring for jerk oscillators and global mean field coupling in the case of Lienard, the interlayer coupling is unidirectional in all these three cases. The second layer has an amplification coefficient. An in depth study on the case of a network of Roessler oscillators using master stability function and order parameter leads to several phenomena such as complete synchronization, generalized, cluster and phase synchronization with amplification. For the case of Roessler oscillators, we note that there are also certain values of coupling parameters and amplification where the synchronization does not exist or the synchronization can exist but without amplification. Using other systems with different topologies, we obtain some interesting results such as chimera state with amplification, cluster state with amplification and complete synchronization with amplification.
