Gjurchinovski Aleksandar, Schöll Eckehard, Zakharova Anna
Institute of Physics, Faculty of Natural Sciences and Mathematics, Sts. Cyril and Methodius University, P.O. Box 162, 1000 Skopje, Macedonia.
Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
Phys Rev E. 2017 Apr;95(4-1):042218. doi: 10.1103/PhysRevE.95.042218. Epub 2017 Apr 26.
We investigate the influence of time-delayed coupling in a ring network of nonlocally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We focus on amplitude chimeras, which exhibit incoherent behavior with respect to the amplitude rather than the phase and are transient patterns, and we show that their lifetime can be significantly enhanced by coupling delay. To characterize their transition to phase-lag synchronization (coherent traveling waves) and other coherent structures, we generalize the Kuramoto order parameter. Contrasting the results for instantaneous coupling with those for constant coupling delay, for time-varying delay, and for distributed-delay coupling, we demonstrate that the lifetime of amplitude chimera states and related partially incoherent states can be controlled, i.e., deliberately reduced or increased, depending upon the type of coupling delay.
我们研究了非局部耦合的斯图尔特 - 兰道振子环形网络中时滞耦合对奇异态的影响，即具有部分相干和部分非相干区域共存的时空模式。我们关注幅度奇异态，它在幅度而非相位方面表现出非相干行为且是瞬态模式，并且我们表明通过耦合延迟可以显著提高它们的寿命。为了表征它们向相位滞后同步（相干行波）和其他相干结构的转变，我们推广了仓本序参量。通过将瞬时耦合的结果与恒定耦合延迟、时变延迟以及分布式延迟耦合的结果进行对比，我们证明幅度奇异态和相关部分非相干态的寿命可以根据耦合延迟的类型进行控制，即有意地缩短或延长。
