论文标题
Chua电路环网络中的嵌合体州
Chimera states in ring-star network of Chua circuits
论文作者
论文摘要
我们研究了由通过非局部扩散,双向耦合连接的相同CHUA电路组成的环形球网络中振幅和频率嵌合体状态的出现。我们首先在非局部耦合方案下识别环网络中的单孔嵌合体模式。当将中央节点添加到网络并形成环形网络时,中央节点充当信息的分布式,增加了同步的机会。数值模拟表明,中央和外围节点之间的径向耦合强度$ k $充当从较低到较高频域导致的订单参数。域之间的过渡是针对中间耦合值进行的,$ 0.5 <k <2 $,频率嵌合体盛行。过渡区域(宽度和边界)取决于CHUA振荡器参数和网络细节。恒星连通性的潜在应用可以在CHUA网络和其他耦合混乱动力学系统的控制中找到。通过添加一个中央节点,而没有对单个网络参数进行进一步修改,则可以根据特定应用程序的要求将系统夹带到降低或更高的频域。
We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional coupling. We first identify single-well chimera patterns in a ring network under nonlocal coupling schemes. When a central node is added to the network, forming a ring-star network, the central node acts as the distributor of information, increasing the chances of synchronization. Numerical simulations show that the radial coupling strength $k$ between the central and the peripheral nodes acts as an order parameter leading from a lower to a higher frequency domain. The transition between the domains takes place for intermediate coupling values, $0.5 <k< 2$, where the frequency chimera states prevail. The transition region (width and boundaries) depends on the Chua oscillator parameters and the network specifics. Potential applications of star connectivity can be found in the control of Chua networks and in other coupled chaotic dynamical systems. By adding one central node and without further modifications to the individual network parameters it is possible to entrain the system to lower or higher frequency domains as desired by the particular applications.