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.

我们研究了由相同的Chua电路通过非局部扩散，双向耦合连接的环形星网络中振幅和频率嵌合态的出现。我们首先在非本地耦合方案下在环形网络中识别单井嵌合体模式。当将中央节点添加到网络中形成一个环形网络时，中央节点将充当信息的分发者，从而增加了同步的机会。数值模拟表明，中心节点与外围节点之间的径向耦合强度k为从低频域到高频域的阶次参数。域之间的过渡发生于中间耦合值\（0.5 <k <2 \），以频率嵌合体状态为准。过渡区域（宽度和边界）取决于Chua振荡器参数和网络特性。恒星连通性的潜在应用可以在Chua网络的控制和其他耦合的混沌动力学系统中找到。通过添加一个中心节点并且无需对各个网络参数进行进一步修改，就有可能将系统带入特定应用所需的低频或高频域。