标题： Levy噪声对耦合Chialvo神经元网络的影响：拓扑结构的作用 显示英文标题

标题： Effect of Levy noise on the network of coupled Chialvo neurons: Impact of topology

摘要： 本研究探讨了在利夫噪声影响下，Chialvo神经元映射在三种不同网络拓扑结构中的复杂时空行为，这三种网络拓扑结构分别是环形网络、受电磁通量影响的二维格点网络以及延迟耦合格点网络。 在环形结构上，我们展示了添加非均匀利夫噪声会诱导形成新的集体动力学，如驻波和行波。 这些涌现模式的频率和类型对内在兴奋性参数和噪声强度非常敏感，揭示了通过噪声调制来控制同步行为的新途径。 在二维格点网络中，我们展示了电磁通量和噪声共同作用下会产生从同步波到非同步状态的多种行为。 最引人注目的是，在适度噪声下，螺旋波凝聚态出现，其中相干区域和非相干区域共存，突显了外部强迫与随机扰动之间的微妙平衡。 最后，在格点结构中引入延迟后，系统表现出丰富的动态状态，如迷宫图案、旋转螺旋和靶向波，其稳定性和转换很大程度上受到延迟和耦合强度的影响。 显示英文摘要

摘要： This research investigates the complex spatiotemporal behaviors of Chialvo neuron maps under the influence of Levy noise on three different network topologies that is a ring network, a two dimensional lattice affected by electromagnetic flux, and a delayed coupled lattice. On the ring structure, we show that adding non uniform Levy noise induces the formation of new collective dynamics like standing and traveling waves. The frequency and type of these emergent patterns depend sensitively on the intrinsic excitability parameter and the noise intensity, revealing new pathways to control synchronization behavior through noise modulation. In the 2D lattice network, we show that electromagnetic flux and noise together induce a diverse range of behaviors, from synchronized waves to desynchronized states. Most strikingly, spiral wave chimeras emerge under moderate noise, with coherent and incoherent regions coexisting, highlighting the fine balance between external forcing and stochastic perturbations. Finally, upon introducing delay in the lattice structure, the system displays a rich variety of dynamical regimes such as labyrinth patterns, rotating spirals, and target waves whose stability and transitions are greatly affected by both delay and coupling strength.