Publications
References to peer-reviewed publications, theses and reports describing in
detail and applying the methods implemented in the pyunicorn package.
General complex networks
Further network papers
[Watts1998], [Newman2001], [Newman2002], [Arenas2003], [Newman2005],
[Soffer2005], [Holme2007], [Tsonis2008a], [Ueoka2008].
| [Watts1998] | D.J. Watts and S.H. Strogatz.
“Collective dynamics of small-world networks”.
In Nature vol. 393, 440–442 (1998)
doi:10.1038/30918 |
| [Arenas2003] | A. Arenas, A. Cabrales, A. Díaz-Guilera, R. Guimerà, F. Vega-Redondo.
“Search and Congestion in Complex Networks”.
In “Statistical Mechanics of Complex Networks”,
In Lecture Notes in Physics, vol. 625, p175-194 (2003)
doi:10.1007/978-3-540-44943-0_11 |
| [Holme2007] | P. Holme, S.M. Park, B.J. Kim, C.R. Edling.
“Korean university life in a network perspective: Dynamics of a large
affiliation network”.
In Physica A: Statistical Mechanics and its Applications,
vol. 373, p821-830 (2007)
doi:10.1016/j.physa.2006.04.066 |
| [Tsonis2008a] | A.A. Tsonis, K.L. Swanson, G. Wang.
“Estimating the clustering coefficient in scale-free networks on lattices
with local spatial correlation structure”.
In Physica A: Statistical Mechanics and its Applications,
vol. 387 (no. 21) p5287-5294 (2008)
doi:10.1016/j.physa.2008.05.048 |
Interacting/interdependent networks / networks of networks
Introduction to structural analysis of interacting networks
[Donges2011a].
| [Donges2011a] | (1, 2) J.F. Donges, H.C.H. Schultz, N. Marwan, Y. Zou, J. Kurths.
“Investigating the topology of interacting networks - Theory and
application to coupled climate subnetworks”.
In European Physical Journal B: Condensed Matter and Complex Systems,
vol. 84 (no. 4) p635-652 (2011)
doi:10.1140/epjb/e2011-10795-8 |
Node-weighted network measures / node-splitting invariance
Introduction
[Heitzig2012].
| [Heitzig2012] | J. Heitzig, J. F. Donges, Y. Zou, N. Marwan, J. Kurths.
“Node-weighted measures for complex networks with spatially embedded,
sampled, or differently sized nodes”.
In European Physical Journal B: Condensed Matter and Complex Systems,
vol. 85 p38 (2012)
doi:10.1140/epjb/e2011-20678-7 |
Random graph models and network surrogates for interacting networks
[Schultz2010].
| [Schultz2010] | (1, 2) H.C.H. Schultz.
“Coupled climate networks: Investigating the terrestrial atmosphere’s
dynamical structure”.
Diploma thesis, Free University, Berlin (2010) |
Analysis of node-weighted interacting networks
[Wiedermann2011], [Wiedermann2013].
| [Wiedermann2011] | (1, 2) M. Wiedermann.
“Coupled climate network analysis of multidecadal dynamics in the Arctic”.
Bachelor’s thesis, Humboldt University, Berlin (2011) |
| [Wiedermann2013] | M. Wiedermann, J.F. Donges, J. Heitzig, J. Kurths.
“Node-weighted interacting network measures improve the representation
of real-world complex systems”.
In Europhysics Letters, vol. 102.2, 28007 (2013)
doi:10.1209/0295-5075/102/28007 |
| [Zemp2014] | D.C. Zemp, M. Wiedermann, J. Kurths, A. Rammig, J.F. Donges.
“Node-weighted measures for complex networks with directed and weighted
edges for studying continental moisture recycling”.
In Europhysics Letters, vol. 107.5, p58005 (2014)
doi:10.1209/0295-5075/107/58005 |
Climate networks / Coupled climate networks
Comparing linear and nonlinear construction of climate networks
[Donges2009a].
Studying the dynamical structure of the surface air temperature field
[Donges2009b], [Radebach2010].
| [Radebach2010] | A. Radebach.
“Evolving climate networks: Investigating the evolution of correlation
structure of the Earth’s climate system”.
Diploma thesis, Humboldt University, Berlin (2010) |
Review of climate network analysis (in Chinese!)
[Zou2011].
| [Zou2011] | Y. Zou, J.F. Donges, J. Kurths.
“Recent advances in complex climate network analysis”.
In Complex Systems and Complexity Science, vol. 8 (no. 1), p27-38 (2011) |
Visualization of climate networks
[Tominski2011].
| [Tominski2011] | C. Tominski, J.F. Donges, T. Nocke.
“Information Visualization in Climate Research”.
In Proceedings of the International Conference on Information
Visualisation (IV), London, p298-305 (2011)
doi:10.1109/IV.2011.12 |
General
[Tsonis2004], [Tsonis2006], [Gozolchiani2008], [Tsonis2008b],
[Tsonis2008c], [Yamasaki2008], [Donges2009c], [Yamasaki2009].
| [Donges2009c] | J.F. Donges
“Complex networks in the climate system”.
Diploma thesis, University of Potsdam (2009)
Advisor: Prof. Dr. Dr. h.c. Juergen Kurths.
URN: urn:nbn:de:kobv:517-opus-49775. |
| [Yamasaki2009] | K. Yamasaki, A. Gozolchiani, S. Havlin.
“Climate Networks Based on Phase Synchronization Analysis Track El-Niño”.
In Progress Of Theoretical Physics Supplement, vol. 179, p178-188 (2009)
doi:10.1143/PTPS.179.178 |
Power Grids/Power Networks
Resistance based networks
[Schultz2014], [Schultz2014a].
| [Schultz2014] | P. Schultz “Stability Analysis of Power Grid Networks”.
M.Sc. Thesis, Humboldt-Universität zu Berlin (2014) |
| [Schultz2014a] | P. Schultz, J. Heitzig, J. Kurths
A Random Growth Model for Power Grids and Other
Spatially Embedded Infrastructure Networks”.
In Eur. Phys. J. Special Topics: Resilient Power Grids and Extreme Events (2014) |
Time series analysis and synchronization
General
[Pecora1998], [Schreiber2000], [Kraskov2004], [Kantz2006], [Thiel2006],
[Bergner2008], [Pompe2011], [Runge2012b].
| [Kantz2006] | H. Kantz and T. Schreiber.
“Nonlinear Time Series Analysis”.
Cambridge University Press, Cambridge, 2nd edition (2006) |
| [Bergner2008] | A. Bergner, R. Meucci, K. Al Naimee, M.C. Romano, M. Thiel,
J. Kurths, and F. T. Arecchi.
“Continuous wavelet transform in the analysis of burst synchronization in a
coupled laser system”.
In Physical Review E, vol. 78, 016211 (2008)
doi:10.1103/PhysRevE.78.016211 |
| [Runge2012b] | J. Runge, J. Heitzig, N. Marwan, J. Kurths.
“Quantifying causal coupling strength: A lag-specific measure for
multivariate time series related to transfer entropy”.
In Physical Review E, vol. 86(6), 1-15 (2012)
doi:10.1103/PhysRevE.86.061121 |
Event synchronization
[Quiroga2002], [Boers2014].
| [Quiroga2002] | R.Q. Quiroga, T. Kreuz, P. Grassberger.
“Event synchronization: a simple and fast method to measure synchronicity
and time delay patterns.”
In Physical Review E, vol. 66(4), 041904 (2002)
doi:10.1103/PhysRevE.66.041904 |
| [Boers2014] | N. Boers, B. Bookhagen, H.M.J. Barbosa, N. Marwan, J. Kurths.
J.A. Marengo.
“Prediction of extreme floods in the eastern Central Andes based on a
complex networks approach”.
In Nature communications, vol. 5, 1–7 (2014)
doi:10.1038/ncomms6199 |
Recurrence networks / quantification analysis / plots
Introduction and application of recurrence networks in the context of RQA
[Marwan2009].
A thorough introduction to recurrence network analysis
[Donner2010b].
| [Donner2010b] | R.V. Donner, Y. Zou, J.F. Donges, N. Marwan, J. Kurths.
“Recurrence networks – A novel paradigm for nonlinear time series
analysis”.
In New Journal of Physics, vol. 12 (no. 3), 033205 (2010)
doi:10.1088/1367-2630/12/3/033025 |
Discussion of choosing an appropriate recurrence threshold
[Donner2010a], [Zou2010].
| [Donner2010a] | R.V. Donner, Y. Zou, J.F. Donges, N. Marwan, J. Kurths.
“Ambiguities in recurrence-based complex network representations of time
series”.
In Physical Review E,
vol. 81 (no. 1), 015101(R) (2010)
doi:10.1103/PhysRevE.81.015101 |
| [Zou2010] | Y. Zou, R.V. Donner, J.F. Donges, N. Marwan, J. Kurths.
“Identifying complex periodic windows in continuous-time dynamical systems
using recurrence-based methods”.
In Chaos, vol. 20 (no. 4), 043130 (2010)
doi:10.1063/1.3523304 |
Review of various methods for network-based time series analysis
[Donner2011a].
| [Donner2011a] | R.V. Donner, M. Small, J.F. Donges, N. Marwan, Y. Zou, R.
Xiang, J. Kurths.
“Recurrence-based time series analysis by means of complex network
methods”.
In International Journal of Bifurcation and Chaos, vol. 21 (no. 4),
p1019-1046 (2011)
doi:10.1142/S0218127411029021 |
Introduction to measures of (fractal) transitivity dimensions
[Donner2011b].
| [Donner2011b] | R.V. Donner, J. Heitzig, J.F. Donges, Y. Zou, J. Kurths.
“The geometry of chaotic dynamics – A complex network perspective”.
In European Physical Journal B: Condensed Matter and Complex Systems,
vol. 84 (no. 4), p653-672 (2011)
doi:10.1140/epjb/e2011-10899-1 |
Applications of recurrence network analysis to paleoclimate data
[Donges2011b], [Donges2011c], [Feldhoff2012].
| [Donges2011b] | J.F. Donges, R.V. Donner, K. Rehfeld, N. Marwan, M.H.
Trauth, J. Kurths.
“Identification of dynamical transitions in marine palaeoclimate records
by recurrence network analysis”.
In Nonlinear Processes in Geophysics, vol. 18 (no. 5), p545-562 (2011)
doi:10.5194/npg-18-545-2011 |
| [Donges2011c] | J.F. Donges, R.V. Donner, M.H. Trauth, N. Marwan, H.J.
Schellnhuber, J. Kurths.
“Nonlinear detection of paleoclimate-variability transitions possibly
related to human evolution”.
In Proceedings of the National Academy of Sciences of the United States of
America, vol. 108 (no. 51), p20422-20427 (2011)
doi:10.1073/pnas.1117052108 |
Theory of recurrence networks
[Donges2012], [Zou2012].
| [Donges2012] | J.F. Donges, J. Heitzig, R.V. Donner, J. Kurths.
“Analytical framework for recurrence network analysis of time series”.
In Physical Review E: Statistical, Nonlinear, and Soft Matter Physics,
vol. 85, 046105 (2012)
doi:10.1103/PhysRevE.85.046105 |
| [Zou2012] | Y. Zou, J. Heitzig, R.V. Donner, J.F. Donges, J.D. Farmer, R.
Meucci, S. Euzzor, N. Marwan, J. Kurths.
“Power-laws in recurrence networks from dynamical systems”.
In Europhysics Letters, vol. 98, 48001 (2012)
doi:10.1209/0295-5075/98/48001 |
Multivariate extensions of recurrence network analysis
[Feldhoff2012], [Feldhoff2013].
| [Feldhoff2012] | (1, 2) J.H. Feldhoff, R.V. Donner, J.F. Donges, N. Marwan,
J. Kurths.
“Geometric detection of coupling directions by means of inter-system
recurrence networks”.
In Physics Letters A, vol. 376, 3504-3513 (2012),
doi:10.1016/j.physleta.2012.10.008 |
General
[Ngamga2007], [Xu2008], [Schinkel2009].
| [Ngamga2007] | E.J. Ngamga, A. Nandi, R. Ramaswamy, M.C. Romano, M. Thiel, J. Kurths.
“Recurrence analysis of strange nonchaotic dynamics”.
In Physical Review E, vol. 75, 036222 (2007)
doi:10.1103/PhysRevE.75.036222 |
| [Xu2008] | X. Xu, J. Zhang, M. Small.
“Superfamily phenomena and motifs of networks induced from time series”.
In Proceedings of the National Academy of Sciences of the United States of
America, vol. 105 (no. 50) p19601-19605 (2008)
doi:10.1073/pnas.0806082105 |
Visibility graph analysis
Introduction
[Lacasa2008].
| [Lacasa2008] | L. Lacasa, B. Luque, F. Ballesteros, J. Luque, J.C. Nuno.
“From time series to complex networks: The visibility graph”.
In Proceedings of the National Academy of Sciences of the United States of
America, vol. 105 (no. 13), p4972-4975 (2008)
doi:10.1073/pnas.0709247105 |
