Controlling unstable chaos: stabilizing chimera states by feedback.
Controlling unstable chaos: stabilizing chimera states by feedback.
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DOI：
10.1103/physrevlett.112.054102
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发表时间：
2013-10
影响因子：
8.6
通讯作者：
J. Sieber;O. Omel’chenko;M. Wolfrum
中科院分区：
文献类型：
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作者：
J. Sieber;O. Omel’chenko;M. Wolfrum
我们提出了一个控制方案，能够找到并稳定一个不稳定的混沌政权在一个系统中有大量的相互作用的粒子。这使我们能够跟踪一个高维混沌吸引子通过分叉，它失去了吸引力。类似于经典的延迟反馈控制，该计划是非侵入性的，但只有在一个适当的放松的意义上考虑混沌政权作为一个统计平衡显示随机波动作为一个有限的尺寸效应。我们证明了所谓的嵌合态，这是耦合振荡器系统中的相干-非相干模式的控制方案。该控制使得嵌合体状态可观察到的接近相干，少量的振荡器，和随机的初始条件。
We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it loses its attractivity. Similar to classical delayed feedback control, the scheme is noninvasive, however only in an appropriately relaxed sense considering the chaotic regime as a statistical equilibrium displaying random fluctuations as a finite size effect. We demonstrate the control scheme for so-called chimera states, which are coherence-incoherence patterns in coupled oscillator systems. The control makes chimera states observable close to coherence, for small numbers of oscillators, and for random initial conditions.