Böhm Fabian, Zakharova Anna, Schöll Eckehard, Lüdge Kathy
Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
Institut für Theoretische Physik, Freie Universität Berlin, 14195 Berlin, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):040901. doi: 10.1103/PhysRevE.91.040901. Epub 2015 Apr 22.
For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the amplitude, phase, and inversion of the coupled lasers. These chimera states defy several of the previously established existence criteria. While chimera states in phase oscillators generally demand nonlocal coupling, large system sizes, and specially prepared initial conditions, we find chimera states that are stable for global coupling in a network of only four coupled lasers for random initial conditions. The existence is linked to a regime of multistability between the synchronous steady state and asynchronous periodic solutions. We show that amplitude-phase coupling, a concept common in different fields, is necessary for the formation of the chimera states.
对于具有延迟光反馈的全局耦合半导体激光器网络，我们证明了奇异态的存在。发现耦合激光器的振幅、相位和反转存在奇异态典型的相干和非相干区域。这些奇异态违背了几个先前确立的存在标准。虽然相位振荡器中的奇异态通常需要非局部耦合、大系统规模和特殊准备的初始条件，但我们发现对于仅由四个耦合激光器组成的网络中的随机初始条件，奇异态在全局耦合下是稳定的。其存在与同步稳态和异步周期解之间的多稳态区域有关。我们表明，振幅 - 相位耦合（一个在不同领域常见的概念）对于奇异态的形成是必要的。
