Montbrió Ernest, Blasius Bernd
Institut für Physik, Universität Potsdam, Postfach 601553, D-14415 Potsdam, Germany.
Chaos. 2003 Mar;13(1):291-308. doi: 10.1063/1.1525170.
We investigate the transition to synchronization in ensembles of coupled oscillators with quenched disorder. We find that small coupling is able to increase the frequency disorder and to induce a spread of oscillator frequencies. This new effect of anomalous desynchronization is studied with numerical and analytical means in a large class of systems including Rössler, Lotka-Volterra, Landau-Stuart, and Van-der-Pol oscillators. We show that anomalous effects arise due to an interplay between nonisochronicity and natural frequency of each oscillator and can either increase or inhibit synchronization in the ensemble. This provides a novel possibility to control the synchronization transition in nonidentical systems by suitably distributing the disorder among system parameters. We conjecture that our results are of relevance for biological systems.
我们研究了具有猝灭无序的耦合振子集合中的同步转变。我们发现，小耦合能够增加频率无序并诱导振子频率的扩散。在包括罗斯勒、洛特卡 - 沃尔泰拉、朗道 - 斯图尔特和范德波尔振子在内的一大类系统中，通过数值和分析方法研究了这种异常去同步的新效应。我们表明，异常效应是由于每个振子的非等时性和固有频率之间的相互作用而产生的，并且可以增加或抑制集合中的同步。这为通过在系统参数之间适当地分布无序来控制非相同系统中的同步转变提供了一种新的可能性。我们推测我们的结果与生物系统相关。
