{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:06:40Z","timestamp":1760242000676,"version":"build-2065373602"},"reference-count":85,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A new measure for the characterization of interconnected dynamical systems coupling is proposed. The method is based on the representation of time series as weighted cross-visibility networks. The weights are introduced as the metric distance between connected nodes. The structure of the networks, depending on the coupling strength, is quantified via the entropy of the weighted adjacency matrix. The method has been tested on several coupled model systems with different individual properties. The results show that the proposed measure is able to distinguish the degree of coupling of the studied dynamical systems. The original use of the geodesic distance on Gaussian manifolds as a metric distance, which is able to take into account the noise inherently superimposed on the experimental data, provides significantly better results in the calculation of the entropy, improving the reliability of the coupling estimates. The application to the interaction between the El Ni\u00f1o Southern Oscillation (ENSO) and the Indian Ocean Dipole and to the influence of ENSO on influenza pandemic occurrence illustrates the potential of the method for real-life problems.<\/jats:p>","DOI":"10.3390\/e20110891","type":"journal-article","created":{"date-parts":[[2018,11,21]],"date-time":"2018-11-21T11:23:27Z","timestamp":1542799407000},"page":"891","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Improving Entropy Estimates of Complex Network Topology for the Characterization of Coupling in Dynamical Systems"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0012-4260","authenticated-orcid":false,"given":"Teddy","family":"Craciunescu","sequence":"first","affiliation":[{"name":"National Institute for Laser, Plasma and Radiation Physics, RO-077125 Magurele-Bucharest, Romania"}]},{"given":"Andrea","family":"Murari","sequence":"additional","affiliation":[{"name":"Consorzio RFX (CNR, ENEA, INFN, Universita\u2019 di Padova, Acciaierie Venete SpA), 35127 Padova, Italy"},{"name":"EUROfusion Consortium, JET, Culham Science Centre, Abingdon OX14 3DB, UK"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5158-7292","authenticated-orcid":false,"given":"Michela","family":"Gelfusa","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, University of Rome Tor Vergata, 00133 Rome, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1103\/PhysRevLett.64.821","article-title":"Synchronization in Chaotic Systems","volume":"64","author":"Pecora","year":"1990","journal-title":"Phys. Rev. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4528","DOI":"10.1103\/PhysRevE.53.4528","article-title":"Generalized synchronization of chaos: The auxiliary system approach","volume":"53","author":"Abarbanel","year":"1996","journal-title":"Phys. Rev. E"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4193","DOI":"10.1103\/PhysRevLett.78.4193","article-title":"From phase to lag synchronization in coupled chaotic oscillators","volume":"78","author":"Rosenblum","year":"1997","journal-title":"Phys. Rev. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1642","DOI":"10.1103\/PhysRevLett.80.1642","article-title":"Transition to phase synchronization of chaos","volume":"80","author":"Rosa","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/S0375-9601(99)00667-2","article-title":"On the Chaos Synchronization Phenomena","volume":"262","author":"Femat","year":"1999","journal-title":"Phys. Lett. A"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1063\/1.166500","article-title":"A unifying definition of synchronization for dynamical systems","volume":"10","author":"Brown","year":"2000","journal-title":"Chaos"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"066219","DOI":"10.1103\/PhysRevE.63.066219","article-title":"Unifying framework for synchronization of coupled dynamical systems","volume":"63","author":"Boccaletti","year":"2001","journal-title":"Phys. Rev. E"},{"key":"ref_8","unstructured":"Cover, T.M., and Thomas, J.A. (1991). Elements of Information Theory, Wiley."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1214\/aoms\/1177729694","article-title":"On information and sufficiency","volume":"22","author":"Kullback","year":"1951","journal-title":"Ann. Math. Statist."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1103\/PhysRevLett.85.461","article-title":"Measuring Information Transfer","volume":"85","author":"Schreiber","year":"2000","journal-title":"Phys Rev Lett"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2006.12.004","article-title":"Causality detection based on information-theoretic approaches in time series analysis","volume":"441","author":"Palub","year":"2007","journal-title":"Phys. Rep."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/S0167-2789(01)00386-4","article-title":"Synchronization likelihood: An unbiased measure of generalized synchronization in multivariate data sets","volume":"163","author":"Stama","year":"2002","journal-title":"Physica D"},{"key":"ref_13","unstructured":"Pawelzik, K. (1991). Nichtlineare Dynamik und Hirnaktivit\u00e4t: Charaktesierung Nichtlinearer Experimenteller Systeme durch Instabile Periodische Orbits, Vorhersagen und Informationsfl\u00fcsse, Verlag Harri Deutsch. (In German)."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/0167-2789(83)90298-1","article-title":"Measuring the Strangeness of Strange Attractors","volume":"9","author":"Grassberger","year":"1983","journal-title":"Physica D"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2482","DOI":"10.1016\/j.physd.2008.03.003","article-title":"An approach for characterizing coupling in dynamical systems","volume":"237","author":"Janjarasjittab","year":"2008","journal-title":"Physica D"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"056215","DOI":"10.1103\/PhysRevE.65.056215","article-title":"Information theoretic approach to quantify complete and phase synchronization of chaos","volume":"65","author":"Shabunin","year":"2002","journal-title":"Phys. Rev. E"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"055201(R)","DOI":"10.1103\/PhysRevE.67.055201","article-title":"Direction of coupling from phases of interacting oscillators: An information-theoretic approach","volume":"67","author":"Palus","year":"2003","journal-title":"Phys. Rev. E"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"054101","DOI":"10.1103\/PhysRevLett.107.054101","article-title":"Inner Composition Alignment for Inferring Directed Networks from Short Time Series","volume":"107","author":"Hempel","year":"2011","journal-title":"PRL"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"041904","DOI":"10.1103\/PhysRevE.66.041904","article-title":"Event synchronization: A simple and fast method to measure synchronicity and time delay patterns","volume":"66","author":"Quiroga","year":"2002","journal-title":"Phys. Rev. E"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"980","DOI":"10.1103\/PhysRevE.51.980","article-title":"Generalized synchronization of chaos in directionally coupled chaotic systems","volume":"51","author":"Rulkov","year":"1995","journal-title":"Phys. Rev. E"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1126\/science.1227079","article-title":"Detecting Causality in Complex Ecosystems","volume":"338","author":"Sugihara","year":"2012","journal-title":"Science"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"052150","DOI":"10.1103\/PhysRevE.90.052150","article-title":"Unraveling the cause-effect relation between time series","volume":"90","year":"2014","journal-title":"Phys. Rev. E"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.physd.2006.09.039","article-title":"Measuring synchronization in coupled model systems: A comparison of different approaches","volume":"225","author":"Kreuz","year":"2007","journal-title":"Physica D"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"50011","DOI":"10.1209\/0295-5075\/103\/50011","article-title":"Coupling between time series: A network view","volume":"103","author":"Mehraban","year":"2015","journal-title":"EPL"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"238701","DOI":"10.1103\/PhysRevLett.96.238701","article-title":"Complex Network from Pseudoperiodic Time Series: Topology versus Dynamics","volume":"96","author":"Zhang","year":"2006","journal-title":"PRL"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2856","DOI":"10.1016\/j.physd.2008.05.008","article-title":"Characterizing Pseudoperiodic Time Series through Complex Network Approach","volume":"237","author":"Zhang","year":"2008","journal-title":"Physica D"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4972","DOI":"10.1073\/pnas.0709247105","article-title":"From time series to complex networks: The visibility graph","volume":"105","author":"Lacasa","year":"2008","journal-title":"PNAS"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"424","DOI":"10.2307\/1912791","article-title":"Investigating Causal Relations by Econometric Models and Cross-spectral Methods","volume":"37","author":"Granger","year":"1969","journal-title":"Econometrica"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.physa.2016.07.063","article-title":"Time series characterization via horizontal visibility graph and Information Theory","volume":"464","author":"Carpi","year":"2016","journal-title":"Physica A"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.cmpb.2014.04.001","article-title":"Epileptic seizure detection in EEGs signals using a fast weighted horizontal visibility algorithm","volume":"115","author":"Zhu","year":"2014","journal-title":"Comput. Methods Programs Biomed."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"6554","DOI":"10.1109\/ACCESS.2016.2612242","article-title":"Weighted Visibility Graph with Complex Network Features in the Detection of Epilepsy","volume":"4","author":"Supriya","year":"2016","journal-title":"IEEE Access"},{"key":"ref_32","unstructured":"Amari, S.-I., and Nagaoka, H. (2000). Methods of Information Geometry, Oxford University Press and the American Mathematical Society."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Arwini, K., and Dodson, T.J. (2008). Information Geometry: Near Randomness and Near Independence, Springer.","DOI":"10.1007\/978-3-540-69393-2"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1007\/s11071-016-2915-x","article-title":"Geodesic distance on Gaussian Manifolds for the robust identification of chaotic systems","volume":"86","author":"Craciunescu","year":"2016","journal-title":"Nonlinear Dyn."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A Mathematical Theory of Communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"28005","DOI":"10.1209\/0295-5075\/81\/28005","article-title":"The entropy of randomized network ensembles","volume":"81","author":"Bianconi","year":"2007","journal-title":"EPL"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1109\/18.2639","article-title":"Random access communication and graph entropy","volume":"34","author":"Korner","year":"1998","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"8627","DOI":"10.1038\/ncomms9627","article-title":"Quantifying randomness in real networks","volume":"6","author":"Orsini","year":"2015","journal-title":"Nat. Commun."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/j.laa.2013.11.009","article-title":"Walk entropies in graphs","volume":"443","author":"Estrada","year":"2014","journal-title":"Linear Algebra Appl."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"012308","DOI":"10.1103\/PhysRevE.96.012308","article-title":"Low-algorithmic-complexity entropy-deceiving graphs","volume":"96","author":"Zenil","year":"2017","journal-title":"Phys. Rev. E"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"3250301","DOI":"10.1155\/2017\/3250301","article-title":"On Measuring the Complexity of Networks: Kolmogorov Complexity versus Entropy","volume":"2017","author":"Morzy","year":"2017","journal-title":"Complexity"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"41","DOI":"10.4236\/cmb.2016.63004","article-title":"Application of graph entropy in CRISPR and repeats detection in DNA sequences","volume":"6","author":"Sengupta","year":"2016","journal-title":"Comput. Mol. Biosci."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"559","DOI":"10.3390\/e14030559","article-title":"Entropy and the complexity of graphs revisited","volume":"14","author":"Mowshowitz","year":"2012","journal-title":"Entropy"},{"key":"ref_44","unstructured":"Albregtsen, F. (2018, November 07). Statistical Texture Measures Computed from Gray Level Coocurrence Matrices. Available online: https:\/\/www.uio.no\/studier\/emner\/matnat\/ifi\/INF4300\/h08\/undervisningsmateriale\/glcm.pdf."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"045002","DOI":"10.1088\/2057-1976\/2\/4\/045002","article-title":"Two-dimensional sample entropy: Assessing image texture through irregularity","volume":"2","author":"Silva","year":"2016","journal-title":"Biomed. Phys. Eng. Express"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/0375-9601(76)90101-8","article-title":"An Equation for Continuous Chaos","volume":"57","year":"1976","journal-title":"Phys. Lett. A"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1016\/S0167-2789(00)00087-7","article-title":"Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients","volume":"144","author":"Mormann","year":"2000","journal-title":"Physica D"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/BF01608556","article-title":"A two-dimensional mapping with a strange attractor","volume":"50","author":"Henon","year":"1976","journal-title":"Commun. Math. Phys."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"6708","DOI":"10.1103\/PhysRevE.54.6708","article-title":"Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble","volume":"54","author":"Schiff","year":"1996","journal-title":"Phys. Rev. E"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","article-title":"Deterministic Nonperiodic Flow","volume":"20","author":"Lorenz","year":"1963","journal-title":"J. Atmos. Sci."},{"key":"ref_51","first-page":"1550","article-title":"Dynamics and transitions of the coupled Lorenz system","volume":"56","author":"Ma","year":"1997","journal-title":"Phys. Rev."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"128701","DOI":"10.1103\/PhysRevLett.107.128701","article-title":"Distinguishing Anticipation from Causality: Anticipatory Bias in the Estimation of Information. Flow","volume":"107","author":"Hahs","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.physrep.2006.11.001","article-title":"Recurrence plots for the analysis of complex systems","volume":"438","author":"Marwan","year":"2007","journal-title":"Phys. Rep."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1007\/s00382-003-0335-3","article-title":"Comparing modern and Pleistocene ENSO-like influences in NW Argentina using nonlinear time series analysis methods","volume":"21","author":"Marwan","year":"2003","journal-title":"Clim. Dynam."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1007\/s00704-010-0342-3","article-title":"Exploring Granger causality between global average observed time series of carbon dioxide and temperature","volume":"104","author":"Kodra","year":"2011","journal-title":"Theor. Appl. Climatol."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"11571","DOI":"10.5194\/acp-15-11571-2015","article-title":"Granger causality from changes in level of atmospheric CO2 to global surface temperature and the El Ni\u00f1o\u2013Southern Oscillation, and a candidate mechanism in global photosynthesis","volume":"15","author":"Leggett","year":"2015","journal-title":"Atmos. Chem. Phys."},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Arjasakusuma, S., Yamaguchi, Y., Hirano, Y., and Zhou, X. (2018). ENSO- and Rainfall-Sensitive Vegetation Regions in Indonesia as Identified from Multi-Sensor Remote Sensing Data. ISPRS Int. J. Geo-Inf., 7.","DOI":"10.3390\/ijgi7030103"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"dzw002","DOI":"10.1093\/climsys\/dzw002","article-title":"Has natural variability a lagged influence on global temperature? A multi-horizon Granger causality analysis","volume":"1","author":"Attanasio","year":"2016","journal-title":"Dyn. Stat. Climate Syst."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"1945","DOI":"10.5194\/gmd-10-1945-2017","article-title":"A non-linear Granger-causality framework to investigate climate\u2013vegetation dynamics","volume":"10","author":"Papagiannopoulou","year":"2017","journal-title":"Geosci. Model Dev."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"L00F04","DOI":"10.1029\/2010GL045932","article-title":"Alternating mutual influence of El-Ni\u00f1o\/Southern Oscillation and Indian monsoon","volume":"38","author":"Mokhov","year":"2011","journal-title":"Geophys. Res. Lett"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"733","DOI":"10.5194\/cp-10-733-2014","article-title":"On the low-frequency component of the ENSO\u2013Indian monsoon relationship: A paired proxy perspective","volume":"10","author":"Berkelhammer","year":"2014","journal-title":"Clim. Past."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1038\/s41467-018-03306-9","article-title":"Resource acquisition and reproductive strategies of tropical forest in response to the El Ni\u00f1o\u2013Southern Oscillation","volume":"9","author":"Detto","year":"2018","journal-title":"Nat. Commun."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"1189","DOI":"10.1126\/science.222.4629.1189","article-title":"Oceanograhic events during El Nino","volume":"222","author":"Cane","year":"1983","journal-title":"Science"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"917","DOI":"10.1175\/1520-0442(1999)012<0917:RSSTVD>2.0.CO;2","article-title":"Remote Sea Surface Temperature Variations during ENSO: Evidence for a Tropical Atmospheric Bridge","volume":"12","author":"Klein","year":"1999","journal-title":"J. Clim."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1038\/43848","article-title":"Coupled ocean-atmosphere dynamics in the Indian Ocean during 1997-98","volume":"401","author":"Webster","year":"1999","journal-title":"Nature"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1038\/43854","article-title":"A dipole mode in the tropical Indian Ocean","volume":"401","author":"Saji","year":"1999","journal-title":"Nature"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"3428","DOI":"10.1175\/JCLI3478.1","article-title":"Two independent triggers for the Indian Ocean dipole zonal mode in a coupled GCM","volume":"18","author":"Fischer","year":"2005","journal-title":"J. Clim."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1175\/JCLI-3268.1","article-title":"Impact of Indian Ocean sea surface temperature on developing El Ni\u00f1o","volume":"18","author":"Annamalai","year":"2005","journal-title":"J. Clim."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"1745","DOI":"10.1007\/s11434-008-0196-6","article-title":"Decadal variability of the IOD-ENSO relationship","volume":"53","author":"Yuan","year":"2008","journal-title":"Chin. Sci. Bull."},{"key":"ref_70","first-page":"2223","article-title":"Indian Ocean Dipole Modes Associated with Different Types of ENSO","volume":"30","author":"Fan","year":"2017","journal-title":"Development. J. Clim."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1175\/BAMS-84-9-1205","article-title":"The Changing Character of Precipitation","volume":"84","author":"Trenberth","year":"2003","journal-title":"Bull. Am. Meteor. Soc."},{"key":"ref_72","unstructured":"(2018, October 23). NOAA ESRL Physical Sciences Division Data, Available online: https:\/\/www.esrl.noaa.gov\/psd\/data\/gridded\/rsshelp.html."},{"key":"ref_73","unstructured":"(2018, October 23). Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Available online: http:\/\/www.jamstec.go.jp\/e\/."},{"key":"ref_74","doi-asserted-by":"crossref","unstructured":"Weinberger, D., Baroux, N., Grangeon, J.-P., Ko, A.I., and Goarant, C. (2014). El Ni\u00f1o Southern Oscillation and leptospirosis outbreaks in New Caledonia. PLoS Negl. Trop. Dis., 8.","DOI":"10.1371\/journal.pntd.0002798"},{"key":"ref_75","doi-asserted-by":"crossref","first-page":"5727","DOI":"10.1038\/s41598-018-24003-z","article-title":"ENSO-driven climate variability promotes periodic major outbreaks of dengue in Venezuela","volume":"8","author":"Tami","year":"2018","journal-title":"Sci. Rep."},{"key":"ref_76","first-page":"99","article-title":"El Nino and the Dynamics of Vector-Borne Disease Transmission","volume":"107","author":"Hales","year":"1999","journal-title":"EHP"},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"1766","DOI":"10.1126\/science.289.5485.1766","article-title":"Cholera Dynamics and El Ni\u00f1o Southern Oscillation","volume":"289","author":"Pascual","year":"2000","journal-title":"Science"},{"key":"ref_78","doi-asserted-by":"crossref","unstructured":"McGregor, G.R., and Ebi, K. (2018). El Ni\u00f1o Southern Oscillation (ENSO) and Health: An Overview for Climate and Health Researchers. Atmosphere, 9.","DOI":"10.20944\/preprints201807.0015.v1"},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"2044","DOI":"10.1175\/1520-0442(2000)013<2044:ICOTSO>2.0.CO;2","article-title":"Interdecadal change of the structure of the ENSO mode and its impact on the ENSO frequency","volume":"13","author":"An","year":"2000","journal-title":"J. Clim."},{"key":"ref_80","doi-asserted-by":"crossref","unstructured":"Lowen, A.C., Mubareka, S., Steel, J., and Palese, P. (2007). Influenza virus transmission is dependent on relative humidity and temperature. PLoS Pathog., 3.","DOI":"10.1371\/journal.ppat.0030151"},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"301","DOI":"10.3389\/fpubh.2017.00301","article-title":"Dynamic regimes of El Ni\u00f1o southern Oscillation and influenza Pandemic Timing","volume":"5","author":"Oluwole","year":"2017","journal-title":"Front Public Health."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1088\/0029-5515\/44\/1\/015","article-title":"Towards the realization on JET of an integrated H-mode scenario for ITER","volume":"44","author":"Ongena","year":"2004","journal-title":"Nucl. Fusion"},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"104006","DOI":"10.1088\/0029-5515\/49\/10\/104006","article-title":"Overview of JET results","volume":"49","author":"Romanelli","year":"2009","journal-title":"Nucl. Fusion"},{"key":"ref_84","doi-asserted-by":"crossref","first-page":"065030","DOI":"10.1088\/0029-5515\/49\/6\/065030","article-title":"Recent progress in fast ion studies on JET","volume":"49","author":"Kiptily","year":"2009","journal-title":"Nucl. Fusion"},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"1863","DOI":"10.1088\/0741-3335\/44\/9\/305","article-title":"Radiation pattern and impurity transport in argon seeded ELMy H-mode discharges in JET","volume":"44","author":"Puiatti","year":"2002","journal-title":"Plasma Phys. Control. Fusion"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/11\/891\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:30:55Z","timestamp":1760196655000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/11\/891"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,20]]},"references-count":85,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2018,11]]}},"alternative-id":["e20110891"],"URL":"https:\/\/doi.org\/10.3390\/e20110891","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2018,11,20]]}}}