论文标题
其他复杂的共轭反馈引起的爆炸性死亡和多危机
Additional complex conjugate feedback induced explosive death and multistabilities
论文作者
论文摘要
许多天然和人造系统都需要合适的反馈才能正常运行。在这项研究中，我们旨在研究其他复杂的共轭反馈对全球耦合Stuart-Landau振荡器的影响。我们发现，这种额外的反馈会导致对称性断裂群集和相位簇的开始。有趣的是，我们还发现存在爆炸性振幅死亡以及不同的多种状态。我们通过幅度顺序参数表征了向爆炸性死亡的一阶过渡，并表明从振荡到死亡状态的过渡确实显示出滞后性质。此外，我们将参数空间中的全局动态过渡映射。此外，为了了解多功能性及其过渡的存在，我们分析了减少模型的分叉场景，并探索其盆地稳定性。我们的研究将阐明在存在额外反馈的情况下新兴动态。
Many natural and man-made systems require suitable feedback to function properly. In this study, we aim to investigate the impact of additional complex conjugate feedback on globally coupled Stuart-Landau oscillators. We find that this additional feedback results in the onset of symmetry breaking clusters and out-of-phase clusters. Interestingly, we also find the existence of explosive amplitude death along with disparate multistable states. We characterize the first-order transition to explosive death through the amplitude order parameter and show that the transition from oscillatory to death state indeed shows a hysteresis nature. Further, we map the global dynamical transitions in the parametric spaces. In addition, to understand the existence of multistabilities and their transitions, we analyze the bifurcation scenarios of the reduced model and also explore their basin stability. Our study will shed light on the emergent dynamics in the presence of additional feedback.
