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通过调整非局部耦合的斯图尔特-兰道振荡器中的耦合范围来增强相干性。

Enhancing coherence via tuning coupling range in nonlocally coupled Stuart-Landau oscillators.

作者信息

Zhao Nannan, Sun Zhongkui, Xu Wei

机构信息

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, 710129, P.R. China.

出版信息

Sci Rep. 2018 Jun 7;8(1):8721. doi: 10.1038/s41598-018-27020-0.

DOI:10.1038/s41598-018-27020-0
PMID:29880922
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5992225/
Abstract

Nonlocal coupling, as an important connection topology among nonlinear oscillators, has attracted increasing attention recently with the research boom of chimera states. So far, most previous investigations have focused on nonlocally coupled systems interacted via similar variables. In this work, we report the evolutions of dynamical behaviors in the nonlocally coupled Stuart-Landau oscillators by applying conjugate variables feedback. Through rigorous analysis, we find that the oscillation death (OD) can convert into the amplitude death (AD) via the cluster state with the increasing of coupling range, making the AD regions to be expanded infinitely along two directions of both the natural frequency and the coupling strength. Moreover, the limit cycle oscillation (OS) region and the mixed region of OD and OS will turn to anti-synchronization state through amplitude-mediated chimera. Therefore, the procedure from local coupling to nonlocal one implies indeed the continuous enhancement of coherence among neighboring oscillators in coupled systems.

摘要

非局部耦合作为非线性振荡器之间的一种重要连接拓扑结构，随着近年来对奇异态研究的蓬勃发展，受到了越来越多的关注。到目前为止，大多数先前的研究都集中在通过相似变量相互作用的非局部耦合系统上。在这项工作中，我们通过应用共轭变量反馈来报告非局部耦合的斯图尔特 - 兰道振荡器中动力学行为的演变。通过严格分析，我们发现随着耦合范围的增加，振荡死亡（OD）可以通过簇态转变为振幅死亡（AD），使得AD区域在自然频率和耦合强度的两个方向上无限扩展。此外，极限环振荡（OS）区域以及OD和OS的混合区域将通过振幅介导的奇异态转变为反同步状态。因此，从局部耦合到非局部耦合的过程确实意味着耦合系统中相邻振荡器之间相干性的不断增强。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ad2f3153367b/41598_2018_27020_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/5f507f3029d0/41598_2018_27020_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ef28ee56ec23/41598_2018_27020_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/158b71482d17/41598_2018_27020_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/edb6c777c5d2/41598_2018_27020_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/c6d6d8ee6628/41598_2018_27020_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/99e25d4c874a/41598_2018_27020_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/09f1a3d5d398/41598_2018_27020_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ef92a5db464e/41598_2018_27020_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/70db0bcf7722/41598_2018_27020_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/a71c81b22073/41598_2018_27020_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/e162e1e24525/41598_2018_27020_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ad2f3153367b/41598_2018_27020_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/5f507f3029d0/41598_2018_27020_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ef28ee56ec23/41598_2018_27020_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/158b71482d17/41598_2018_27020_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/edb6c777c5d2/41598_2018_27020_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/c6d6d8ee6628/41598_2018_27020_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/99e25d4c874a/41598_2018_27020_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/09f1a3d5d398/41598_2018_27020_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ef92a5db464e/41598_2018_27020_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/70db0bcf7722/41598_2018_27020_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/a71c81b22073/41598_2018_27020_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/e162e1e24525/41598_2018_27020_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e0f5/5992225/ad2f3153367b/41598_2018_27020_Fig12_HTML.jpg

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