Bordyugov Grigory, Pikovsky Arkady, Rosenblum Michael
Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Straße 24/25, 14476 Potsdam, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Sep;82(3 Pt 2):035205. doi: 10.1103/PhysRevE.82.035205. Epub 2010 Sep 30.
We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e., a state with coexisting regions of complete and partial synchrony, emerges via a supercritical bifurcation from a homogeneous state. We develop a theory of chimera based on the Ott-Antonsen equations for the local complex order parameter. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to phase turbulence with persistent patches of synchrony.
我们报道了在非局部和非线性耦合振子的均匀链中出现的一种自涌现嵌合体状态。这种嵌合体，即一种存在完全同步和部分同步共存区域的状态，通过从均匀状态的超临界分岔出现。我们基于局部复序参量的奥 - 安东森方程发展了一种嵌合体理论。应用数值线性稳定性分析，我们还描述了嵌合体的不稳定性以及向具有持续同步斑块的相湍流的转变。
