论文标题
领导者追随者切换动力学中的同步
Synchronization in leader-follower switching dynamics
论文作者
论文摘要
例如，在大规模的气候变化或感知到的威胁下，动物种群动态的特征，例如植入和迁移。这些相干现象已使用同步模型来解释。但是，此类模型并未考虑到每个人的状态的异步和自适应更新。在这里，我们根据振荡器在每个时间的角度速度，根据他们的领导者/追随者状态不对称地相互作用，通过将振荡器分类为领导者或追随者，通过将振荡器分类为领导者或追随者。随着振荡器的角速度更新，也可以重新分配领导者和追随者状态。由于这种适应性动力，振荡器可以通过轮流充当领导者或追随者来合作。这可能会导致同步过渡的有趣模式，包括混合相变，并在鸟类迁移模式中观察到领导者追随者开关模式。
The features of animal population dynamics, for instance, flocking and migration, are often synchronized for survival under large-scale climate change or perceived threats. These coherent phenomena have been explained using synchronization models. However, such models do not take into account asynchronous and adaptive updating of an individual's status at each time. Here, we modify the Kuramoto model slightly by classifying oscillators as leaders or followers, according to their angular velocity at each time, where individuals interact asymmetrically according to their leader/follower status. As the angular velocities of the oscillators are updated, the leader and follower status may also be reassigned. Owing to this adaptive dynamics, oscillators may cooperate by taking turns acting as a leader or follower. This may result in intriguing patterns of synchronization transitions, including hybrid phase transitions, and produce the leader-follower switching pattern observed in bird migration patterns.
