Chimera states are spatial patterns in which coherent and incoherent patterns coexist. It was reported that small populations of coupled oscillators can exhibit chimera with transient nature. This spatial coexistence has been observed in various network topologies of coupled systems, such as coupled pendula, coupled chemical oscillators, and neuronal networks. In this work, we build two-dimensional neuronal networks with regular and fractal topologies to study chimera states. In the regular network, we consider a coupling between the nearest neighbours neurons, while the fractal network is constructed according to the square Cantor set. Our networks are composed of coupled adaptive exponential integrate-and-fire neurons, that can exhibit spike or burst activities. Depending on the parameters, we find spiral wave chimeras in both regular and fractal networks. The spiral wave chimeras arise for different values of the intensity of the excitatory synaptic conductance. In our simulations, we verify the existence of multicore chimera states. The cores are made up of neurons with desynchronous behaviour and the spiral waves rotates around them. The cores can be related to bumps or spatially localised pulses of neuronal activities. We also show that the initial value of the adaptation current plays an important role in the existence of spiral wave chimera states.

嵌合体状态是相干和不相干模式共存的空间模式。据报道，耦合振荡器的小群体可以表现出具有瞬时性质的嵌合体。在耦合系统的各种网络拓扑结构（例如耦合摆，耦合化学振荡器和神经元网络）中已经观察到这种空间共存。在这项工作中，我们建立具有规则和分形拓扑的二维神经元网络来研究嵌合体状态。在常规网络中，我们考虑最邻近的神经元之间的耦合，而分形网络是根据方形Cantor集构造的。我们的网络由耦合的自适应指数积分和发射神经元组成，可以表现出尖峰或爆发活动。根据参数，我们在常规和分形网络中都发现了螺旋波嵌合体。螺旋波嵌合体产生于兴奋性突触电导强度的不同值。在我们的仿真中，我们验证了多核嵌合状态的存在。核心由具有不同步行为的神经元组成，螺旋波围绕它们旋转。核心可能与神经元活动的颠簸或空间局部脉冲有关。我们还表明，适应电流的初始值在螺旋波嵌合状态的存在中起着重要作用。核心由具有不同步行为的神经元组成，螺旋波围绕它们旋转。核心可能与神经元活动的颠簸或空间局部脉冲有关。我们还表明，适应电流的初始值在螺旋波嵌合状态的存在中起着重要作用。核心由具有不同步行为的神经元组成，螺旋波围绕它们旋转。核心可能与神经元活动的颠簸或空间局部脉冲有关。我们还表明，适应电流的初始值在螺旋波嵌合状态的存在中起着重要作用。