束流传输网络中束晕-混沌的控制与同步方法的若干进展

Advances in Synchronization and Control of Halo-Chaos in Beam Transport Network

强流质子加速器的束流传输是国内外关注的一个重要课题。总结了一类规则网络——传统的规则束流输运网络中束晕-混沌的控制与同步方法的研究进展。着重综述混合网络——具有小世界和无标度拓扑结构的的束流输运网络中束晕-混沌的控制与同步方法的研究新进展,介绍线性耦合控制法和噪声驱动法,着重总结全局耦合与局部反馈结合的多目标分区控制与同步方法,该思想方法适用于任何由混沌节点耦合的复杂网络的控制与同步,具有应用潜力。

In this review article, the advances in control and synchronization methods of beam halo-chaos in the beam transport networks （BTN） is reviewed and summarized. First of all, we summarize several effective methods of control and synchronization of halo-chaos in the traditional regular BTN. Then, from a newest viewpoint of network science, we investigate the synchronization and control of halo-chaos in hybrid BTN network with the small-world （SW） and scale-free （SF） topological properties respectively. We developed some methods, including linear feedback control and noise driving, especially we adopt the combination of global linear coupling with local linear feedback method to realize the multi-goal control and synchronization of halo-chaos in different sub-networks of the BTN with SW and SF topology. The method can be extended to any chaotic coupling dynamical networks, and has a potential of application for the secure communication and others.