Articles | Volume 21, issue 6
https://doi.org/10.5194/npg-21-1113-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-21-1113-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
24 Nov 2014
Research article |
| 24 Nov 2014
Long-term changes in the north–south asymmetry of solar activity: a nonlinear dynamics characterization using visibility graphs
Y. Zou
CORRESPONDING AUTHOR
Department of Physics, East China Normal University, 200062 Shanghai, China
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany
R. V. Donner
CORRESPONDING AUTHOR
Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany
Max Planck Institute for Biogeochemistry, Hans-Knöll-Str. 10, 07745 Jena, Germany
N. Marwan
Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany
M. Small
School of Mathematics and Statistics, University of Western Australia, Crawley, WA 6009, Australia
J. Kurths
Potsdam Institute for Climate Impact Research, P.O. Box 60 12 03, 14412 Potsdam, Germany
Department of Physics, Humboldt University Berlin, Newtonstr. 15, 12489 Berlin, Germany
Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen, AB243UE, UK
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Cited
54 citations as recorded by crossref.
- Complex network approaches to nonlinear time series analysis Y. Zou et al. 10.1016/j.physrep.2018.10.005
- Visibility Graph Based Time Series Analysis M. Stephen et al. 10.1371/journal.pone.0143015
- Temporal pattern in Corinth rift seismicity revealed by visibility graph analysis G. Hloupis 10.1016/j.cnsns.2017.03.015
- Multiplex multivariate recurrence network from multi-channel signals for revealing oil-water spatial flow behavior Z. Gao et al. 10.1063/1.4977950
- Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures W. Xie et al. 10.1209/0295-5075/119/48008
- Reconstruction of the North–South Solar Asymmetry with a Kuramoto Model E. Blanter et al. 10.1007/s11207-017-1078-3
- Matching Intensity for Image Visibility Graphs: A New Method to Extract Image Features D. Zhu et al. 10.1109/ACCESS.2021.3050747
- Indications for a North Atlantic ocean circulation regime shift at the onset of the Little Ice Age C. Schleussner et al. 10.1007/s00382-015-2561-x
- Visibility graphs and symbolic dynamics L. Lacasa & W. Just 10.1016/j.physd.2018.04.001
- Complex network analysis of time series Z. Gao et al. 10.1209/0295-5075/116/50001
- The dynamic relation between activities in the Northern and Southern solar hemispheres D. Volobuev & N. Makarenko 10.1134/S0016793216070173
- Visibility Graphs for Image Processing J. Iacovacci & L. Lacasa 10.1109/TPAMI.2019.2891742
- Multiscale horizontal-visibility-graph correlation analysis of stock time series W. Li & X. Zhao 10.1209/0295-5075/122/40007
- Evaluating the Skill of Forecasts of the Near‐Earth Solar Wind Using a Space Weather Monitor at L5 S. Thomas et al. 10.1029/2018SW001821
- Irreversibility of financial time series: A graph-theoretical approach R. Flanagan & L. Lacasa 10.1016/j.physleta.2016.03.011
- Visibility graph analysis for re-sampled time series from auto-regressive stochastic processes R. Zhang et al. 10.1016/j.cnsns.2016.04.031
- Characterizing the Solar Activity Using the Visibility Graph Method T. Zurita-Valencia & V. Muñoz 10.3390/e25020342
- Horizontal visibility graphs from integer sequences L. Lacasa 10.1088/1751-8113/49/35/35LT01
- Network structure of multivariate time series L. Lacasa et al. 10.1038/srep15508
- Weighted multi-scale limited penetrable visibility graph for exploring atrial fibrillation rhythm W. Li et al. 10.1016/j.sigpro.2021.108288
- Visibility graph based temporal community detection with applications in biological time series M. Zheng et al. 10.1038/s41598-021-84838-x
- Multiscale complex network for analyzing experimental multivariate time series Z. Gao et al. 10.1209/0295-5075/109/30005
- Visibility graphs of random scalar fields and spatial data L. Lacasa & J. Iacovacci 10.1103/PhysRevE.96.012318
- A combinatorial framework to quantify peak/pit asymmetries in complex dynamics U. Hasson et al. 10.1038/s41598-018-21785-0
- Extracting time-delays from time series via statistical complexity measures based on multi-scale transition networks X. He et al. 10.1007/s11071-024-10468-3
- Ordinal partition transition network based complexity measures for inferring coupling direction and delay from time series Y. Ruan et al. 10.1063/1.5086527
- Cross and joint ordinal partition transition networks for multivariate time series analysis H. Guo et al. 10.1007/s11467-018-0805-0
- Sequential motif profile of natural visibility graphs J. Iacovacci & L. Lacasa 10.1103/PhysRevE.94.052309
- Nonlinear time series analysis of palaeoclimate proxy records N. Marwan et al. 10.1016/j.quascirev.2021.107245
- Multiscale Horizontal Visibility Graph Analysis of Higher-Order Moments for Estimating Statistical Dependency K. Dong et al. 10.3390/e21101008
- Multiscale online-horizontal-visibility-graph correlation analysis of financial market M. Han et al. 10.1016/j.physa.2022.128195
- Time-delay identification from chaotic time series via statistical complexity measures based on ordinal pattern transition networks X. He & Z. Sun 10.1007/s11071-023-09256-2
- Shopper intent prediction from clickstream e-commerce data with minimal browsing information B. Requena et al. 10.1038/s41598-020-73622-y
- Visibility graph analysis of economy policy uncertainty indices P. Dai et al. 10.1016/j.physa.2019.121748
- Network-based analysis of fluid flows: Progress and outlook K. Taira & A. Nair 10.1016/j.paerosci.2022.100823
- Visibility graph analysis of the grains and oilseeds indices H. Liu et al. 10.1016/j.physa.2024.130004
- An empirical study on network conversion of stock time series based on STL method F. Tian et al. 10.1063/5.0089059
- Hemispheric Sunspot Number Prediction for Solar Cycles 25 and 26 Using Spectral Analysis and Machine Learning Techniques J. Rodríguez et al. 10.1007/s11207-024-02363-2
- Tetradic motif profiles of horizontal visibility graphs W. Xie et al. 10.1016/j.cnsns.2019.01.012
- Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series Z. Gao et al. 10.1038/srep35622
- Canonical horizontal visibility graphs are uniquely determined by their degree sequence B. Luque & L. Lacasa 10.1140/epjst/e2016-60164-1
- Irreversibility and complex network behavior of stream flow fluctuations F. Serinaldi & C. Kilsby 10.1016/j.physa.2016.01.043
- A new estimator of heat periods for decadal climate predictions – a complex network approach M. Weimer et al. 10.5194/npg-23-307-2016
- Hemispheric Asymmetry in the Sunspot Cycle as a Nonextensive Phenomenon L. Batista et al. 10.1007/s11207-023-02179-6
- Multivariate weighted recurrence network analysis of EEG signals from ERP-based smart home system Z. Gao et al. 10.1063/1.5018824
- Characterization of river flow fluctuations via horizontal visibility graphs A. Braga et al. 10.1016/j.physa.2015.10.102
- Multivariate weighted recurrence network inference for uncovering oil-water transitional flow behavior in a vertical pipe Z. Gao et al. 10.1063/1.4954271
- Complex network view to solar flare asymmetric activity S. Taran et al. 10.1016/j.asr.2022.07.010
- Multilayer Network from Multivariate Time Series for Characterizing Nonlinear Flow Behavior Z. Gao et al. 10.1142/S0218127417500596
- Transient coupling relationships of the Holocene Australian monsoon F. McRobie et al. 10.1016/j.quascirev.2015.05.011
- The North–South Asymmetry of Sunspot Relative Numbers Based on Complex Network Technique H. Xu et al. 10.3390/sym13112228
- Constructing ordinal partition transition networks from multivariate time series J. Zhang et al. 10.1038/s41598-017-08245-x
- Time reversibility from visibility graphs of nonstationary processes L. Lacasa & R. Flanagan 10.1103/PhysRevE.92.022817
- Precursory signatures in the visibility graph analysis of seismicity: An application to the Kachchh (Western India) seismicity L. Telesca et al. 10.1016/j.pce.2015.02.008
53 citations as recorded by crossref.
- Complex network approaches to nonlinear time series analysis Y. Zou et al. 10.1016/j.physrep.2018.10.005
- Visibility Graph Based Time Series Analysis M. Stephen et al. 10.1371/journal.pone.0143015
- Temporal pattern in Corinth rift seismicity revealed by visibility graph analysis G. Hloupis 10.1016/j.cnsns.2017.03.015
- Multiplex multivariate recurrence network from multi-channel signals for revealing oil-water spatial flow behavior Z. Gao et al. 10.1063/1.4977950
- Analytic degree distributions of horizontal visibility graphs mapped from unrelated random series and multifractal binomial measures W. Xie et al. 10.1209/0295-5075/119/48008
- Reconstruction of the North–South Solar Asymmetry with a Kuramoto Model E. Blanter et al. 10.1007/s11207-017-1078-3
- Matching Intensity for Image Visibility Graphs: A New Method to Extract Image Features D. Zhu et al. 10.1109/ACCESS.2021.3050747
- Indications for a North Atlantic ocean circulation regime shift at the onset of the Little Ice Age C. Schleussner et al. 10.1007/s00382-015-2561-x
- Visibility graphs and symbolic dynamics L. Lacasa & W. Just 10.1016/j.physd.2018.04.001
- Complex network analysis of time series Z. Gao et al. 10.1209/0295-5075/116/50001
- The dynamic relation between activities in the Northern and Southern solar hemispheres D. Volobuev & N. Makarenko 10.1134/S0016793216070173
- Visibility Graphs for Image Processing J. Iacovacci & L. Lacasa 10.1109/TPAMI.2019.2891742
- Multiscale horizontal-visibility-graph correlation analysis of stock time series W. Li & X. Zhao 10.1209/0295-5075/122/40007
- Evaluating the Skill of Forecasts of the Near‐Earth Solar Wind Using a Space Weather Monitor at L5 S. Thomas et al. 10.1029/2018SW001821
- Irreversibility of financial time series: A graph-theoretical approach R. Flanagan & L. Lacasa 10.1016/j.physleta.2016.03.011
- Visibility graph analysis for re-sampled time series from auto-regressive stochastic processes R. Zhang et al. 10.1016/j.cnsns.2016.04.031
- Characterizing the Solar Activity Using the Visibility Graph Method T. Zurita-Valencia & V. Muñoz 10.3390/e25020342
- Horizontal visibility graphs from integer sequences L. Lacasa 10.1088/1751-8113/49/35/35LT01
- Network structure of multivariate time series L. Lacasa et al. 10.1038/srep15508
- Weighted multi-scale limited penetrable visibility graph for exploring atrial fibrillation rhythm W. Li et al. 10.1016/j.sigpro.2021.108288
- Visibility graph based temporal community detection with applications in biological time series M. Zheng et al. 10.1038/s41598-021-84838-x
- Multiscale complex network for analyzing experimental multivariate time series Z. Gao et al. 10.1209/0295-5075/109/30005
- Visibility graphs of random scalar fields and spatial data L. Lacasa & J. Iacovacci 10.1103/PhysRevE.96.012318
- A combinatorial framework to quantify peak/pit asymmetries in complex dynamics U. Hasson et al. 10.1038/s41598-018-21785-0
- Extracting time-delays from time series via statistical complexity measures based on multi-scale transition networks X. He et al. 10.1007/s11071-024-10468-3
- Ordinal partition transition network based complexity measures for inferring coupling direction and delay from time series Y. Ruan et al. 10.1063/1.5086527
- Cross and joint ordinal partition transition networks for multivariate time series analysis H. Guo et al. 10.1007/s11467-018-0805-0
- Sequential motif profile of natural visibility graphs J. Iacovacci & L. Lacasa 10.1103/PhysRevE.94.052309
- Nonlinear time series analysis of palaeoclimate proxy records N. Marwan et al. 10.1016/j.quascirev.2021.107245
- Multiscale Horizontal Visibility Graph Analysis of Higher-Order Moments for Estimating Statistical Dependency K. Dong et al. 10.3390/e21101008
- Multiscale online-horizontal-visibility-graph correlation analysis of financial market M. Han et al. 10.1016/j.physa.2022.128195
- Time-delay identification from chaotic time series via statistical complexity measures based on ordinal pattern transition networks X. He & Z. Sun 10.1007/s11071-023-09256-2
- Shopper intent prediction from clickstream e-commerce data with minimal browsing information B. Requena et al. 10.1038/s41598-020-73622-y
- Visibility graph analysis of economy policy uncertainty indices P. Dai et al. 10.1016/j.physa.2019.121748
- Network-based analysis of fluid flows: Progress and outlook K. Taira & A. Nair 10.1016/j.paerosci.2022.100823
- Visibility graph analysis of the grains and oilseeds indices H. Liu et al. 10.1016/j.physa.2024.130004
- An empirical study on network conversion of stock time series based on STL method F. Tian et al. 10.1063/5.0089059
- Hemispheric Sunspot Number Prediction for Solar Cycles 25 and 26 Using Spectral Analysis and Machine Learning Techniques J. Rodríguez et al. 10.1007/s11207-024-02363-2
- Tetradic motif profiles of horizontal visibility graphs W. Xie et al. 10.1016/j.cnsns.2019.01.012
- Multiscale limited penetrable horizontal visibility graph for analyzing nonlinear time series Z. Gao et al. 10.1038/srep35622
- Canonical horizontal visibility graphs are uniquely determined by their degree sequence B. Luque & L. Lacasa 10.1140/epjst/e2016-60164-1
- Irreversibility and complex network behavior of stream flow fluctuations F. Serinaldi & C. Kilsby 10.1016/j.physa.2016.01.043
- A new estimator of heat periods for decadal climate predictions – a complex network approach M. Weimer et al. 10.5194/npg-23-307-2016
- Hemispheric Asymmetry in the Sunspot Cycle as a Nonextensive Phenomenon L. Batista et al. 10.1007/s11207-023-02179-6
- Multivariate weighted recurrence network analysis of EEG signals from ERP-based smart home system Z. Gao et al. 10.1063/1.5018824
- Characterization of river flow fluctuations via horizontal visibility graphs A. Braga et al. 10.1016/j.physa.2015.10.102
- Multivariate weighted recurrence network inference for uncovering oil-water transitional flow behavior in a vertical pipe Z. Gao et al. 10.1063/1.4954271
- Complex network view to solar flare asymmetric activity S. Taran et al. 10.1016/j.asr.2022.07.010
- Multilayer Network from Multivariate Time Series for Characterizing Nonlinear Flow Behavior Z. Gao et al. 10.1142/S0218127417500596
- Transient coupling relationships of the Holocene Australian monsoon F. McRobie et al. 10.1016/j.quascirev.2015.05.011
- The North–South Asymmetry of Sunspot Relative Numbers Based on Complex Network Technique H. Xu et al. 10.3390/sym13112228
- Constructing ordinal partition transition networks from multivariate time series J. Zhang et al. 10.1038/s41598-017-08245-x
- Time reversibility from visibility graphs of nonstationary processes L. Lacasa & R. Flanagan 10.1103/PhysRevE.92.022817
Saved (final revised paper)
Latest update: 21 Nov 2024
Short summary
We use visibility graphs to characterize asymmetries in the dynamics of sunspot areas in both solar hemispheres. Our analysis provides deep insights into the potential and limitations of this method, revealing a complex interplay between effects due to statistical versus dynamical properties of the observed data. Temporal changes in the hemispheric predominance of the graph connectivity are found to lag those directly associated with the total hemispheric sunspot areas themselves.
We use visibility graphs to characterize asymmetries in the dynamics of sunspot areas in both...
