Linked and knotted chimera filaments in oscillatory systems.
Linked and knotted chimera filaments in oscillatory systems.
复制标题
振荡系统中链接和打结的嵌合体丝。
DOI：
10.1103/physreve.94.010204
复制
发表时间：
2015
影响因子：
2.4
通讯作者：
J. Davidsen
中科院分区：
文献类型：
--
作者：
H. Lau;J. Davidsen
While the existence of stable knotted and linked vortex lines has been established in many experimental and theoretical systems, their existence in oscillatory systems and systems with nonlocal coupling has remained elusive. Here, we present strong numerical evidence that stable knots and links such as trefoils and Hopf links do exist in simple, complex, and chaotic oscillatory systems if the coupling between the oscillators is neither too short ranged nor too long ranged. In this case, effective repulsive forces between vortex lines in knotted and linked structures stabilize curvature-driven shrinkage observed for single vortex rings. In contrast to real fluids and excitable media, the vortex lines correspond to scroll wave chimeras [synchronized scroll waves with spatially extended (tubelike) unsynchronized filaments], a prime example of spontaneous synchrony breaking in systems of identical oscillators. In the case of complex oscillatory systems, this leads to a topological superstructure combining knotted filaments and synchronization defect sheets.
