Experimental observation of chimeras in coupled-map lattices

Experimental observation of chimeras in coupled-map lattices
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DOI:
10.1038/nphys2372
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发表时间:
2012-09-01
期刊:
影响因子:
19.6
通讯作者:
Schoell, Eckehard
Schoell, Eckehard
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Hagerstrom, Aaron M.;Murphy, Thomas E.;Schoell, Eckehard

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非局域耦合相位振子网络(1)能够支持一种奇美拉态,在这种状态下,尽管存在均匀耦合,但相同的振子会演变成不同的群组,这些群组呈现出同步和非同步行为共存的现象(2 - 6)。在混沌迭代映射网络中采用的类似非局域耦合拓扑结构,也会产生呈现出相干和非相干空间域共存的动力学状态(7,8)。在这些离散时间系统中,相位不是一个连续变量,所以相对于更广义的非相干概念而言,这些状态是广义奇美拉态。奇美拉态仍然是深入理论研究的主题,但尚未在实验中实现(6,9 - 16)。在此我们表明,通过使用液晶空间光调制器在空间扩展的迭代映射系统中实现光学非线性,这些奇美拉态能够在实验中实现。我们通过实验、理论和模拟研究了产生这些奇美拉态的相干 - 非相干转变。
Networks of nonlocally coupled phase oscillators(1) can support chimera states in which identical oscillators evolve into distinct groups that exhibit coexisting synchronous and incoherent behaviours despite homogeneous coupling(2-6). Similar nonlocal coupling topologies implemented in networks of chaotic iterated maps also yield dynamical states exhibiting coexisting spatial domains of coherence and incoherence(7,8). In these discrete-time systems, the phase is not a continuous variable, so these states are generalized chimeras with respect to a broader notion of incoherence. Chimeras continue to be the subject of intense theoretical investigation, but have yet to be realized experimentally(6,9-16). Here we show that these chimeras can be realized in experiments using a liquid-crystal spatial light modulator to achieve optical nonlinearity in a spatially extended iterated map system. We study the coherence-incoherence transition that gives rise to these chimera states through experiment, theory and simulation.