{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T01:46:52Z","timestamp":1743126412617,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":45,"publisher":"Springer New York","isbn-type":[{"type":"electronic","value":"9781461473206"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-1-4614-7320-6_439-2","type":"book-chapter","created":{"date-parts":[[2014,8,21]],"date-time":"2014-08-21T11:08:04Z","timestamp":1408619284000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Determining Network Structure from Data: Nonlinear Modeling Methods"],"prefix":"10.1007","author":[{"given":"Bjoern","family":"Schelter","sequence":"first","affiliation":[]},{"given":"Marco","family":"Thiel","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,7,10]]},"reference":[{"key":"439-2_CR1","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/PL00007990","volume":"84","author":"LA Baccala","year":"2001","unstructured":"Baccala LA, Sameshima K (2001) Partial directed coherence: a new concept in neural structure determination. Biol Cybern 84:463\u2013474","journal-title":"Biol Cybern"},{"key":"439-2_CR2","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1023\/B:CARE.0000025126.63253.43","volume":"4","author":"A Bandrivskyy","year":"2004","unstructured":"Bandrivskyy A, Bernjak A, McClintock PVE, Stefanovska A (2004) Wavelet phase coherence analysis: application to skin temperature and blood flow. Cardiovasc Eng 4:89\u201393","journal-title":"Cardiovasc Eng"},{"key":"439-2_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0370-1573(02)00137-0","volume":"366","author":"S Boccaletti","year":"2002","unstructured":"Boccaletti S, Kurths J, Osipov G, Valladares DL, Zhou CS (2002) The synchronization of chaotic systems. Phys Rep 366:1\u2013101","journal-title":"Phys Rep"},{"key":"439-2_CR4","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s001840000055","volume":"51","author":"R Dahlhaus","year":"2000","unstructured":"Dahlhaus R (2000) Graphical interaction models for multivariate time series. Metrika 51:157\u2013172","journal-title":"Metrika"},{"key":"439-2_CR5","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1002\/9783527609970.ch17","volume-title":"Handbook of time series analysis","author":"M Ding","year":"2006","unstructured":"Ding M, Chen Y, Bressler SL (2006) Granger causality: basic theory and application to neuroscience. In: Schelter B, Winderhalder M, Timmer J (eds) Handbook of time series analysis. Wiley-VCH, Weinheim, pp 437\u2013460"},{"key":"439-2_CR6","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1209\/0295-5075\/4\/9\/004","volume":"4","author":"J-P Eckmann","year":"1987","unstructured":"Eckmann J-P, Oliffson Kamphorst S, Ruelle D (1987) Recurrence plots of dynamical systems. Europhys Lett 4:973\u2013977","journal-title":"Europhys Lett"},{"key":"439-2_CR7","doi-asserted-by":"publisher","first-page":"953","DOI":"10.1098\/rstb.2005.1641","volume":"360","author":"M Eichler","year":"2005","unstructured":"Eichler M (2005) A graphical approach for evaluating effective connectivity in neural systems. Phil Trans R Soc B 360:953\u2013967","journal-title":"Phil Trans R Soc B"},{"key":"439-2_CR8","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/j.jeconom.2005.06.032","volume":"137","author":"M Eichler","year":"2007","unstructured":"Eichler M (2007) Granger-causality and path diagrams for multivariate time series. J Econom 137:334\u2013353","journal-title":"J Econom"},{"key":"439-2_CR9","doi-asserted-by":"publisher","first-page":"424","DOI":"10.2307\/1912791","volume":"37","author":"CWJ Granger","year":"1969","unstructured":"Granger CWJ (1969) Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37:424\u2013438","journal-title":"Econometrica"},{"key":"439-2_CR10","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1016\/S0140-6736(00)04044-7","volume":"357","author":"B Hellwig","year":"2001","unstructured":"Hellwig B, Haeussler S, Schelter B, Lauk M, Guschlbauer B, Timmer J, Luecking CH (2001) Tremor correlated cortical activity in essential tremor. Lancet 357:519\u2013523","journal-title":"Lancet"},{"key":"439-2_CR11","doi-asserted-by":"publisher","first-page":"1462","DOI":"10.1016\/S1388-2457(03)00116-0","volume":"114","author":"B Hellwig","year":"2003","unstructured":"Hellwig B, Schelter B, Guschlbauer B, Timmer J, Luecking CH (2003) Dynamic synchronisation of central oscillators in essential tremor. Clin Neurophysiol 114:1462\u20131467","journal-title":"Clin Neurophysiol"},{"key":"439-2_CR12","volume-title":"Nonlinear time series analysis","author":"H Kantz","year":"1997","unstructured":"Kantz H, Schreiber T (1997) Nonlinear time series analysis. Cambridge University Press, Cambridge"},{"key":"439-2_CR13","doi-asserted-by":"publisher","first-page":"1816","DOI":"10.1103\/PhysRevLett.76.1816","volume":"76","author":"L Kocarev","year":"1996","unstructured":"Kocarev L, Parlitz U (1996) Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. Phys Rev Lett 76:1816\u20131819","journal-title":"Phys Rev Lett"},{"key":"439-2_CR14","doi-asserted-by":"publisher","first-page":"025104","DOI":"10.1063\/1.3597647","volume":"21","author":"B Kralemann","year":"2011","unstructured":"Kralemann B, Pikovsky A, Rosenblum M (2011) Reconstructing phase dynamics of oscillator networks. Chaos 21:025104","journal-title":"Chaos"},{"key":"439-2_CR15","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/S0140-6736(00)03591-1","volume":"357","author":"M Le van Quyen","year":"2001","unstructured":"Le van Quyen M, Martinerie J, Navarro V, Boon P, D\u2019Have M, Adam C, Renault B, Varela F, Baulac M (2001) Anticipation of epileptic seizures from standard EEG recordings. Lancet 357:183\u2013188","journal-title":"Lancet"},{"key":"439-2_CR16","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1002\/mds.870130508","volume":"13","author":"ED Louis","year":"1998","unstructured":"Louis ED, Ford B, Wendt KJ, Cameron G (1998) Clinical characteristics of essential tremor: data from a community-based study. Mov Disord 13:803\u2013808","journal-title":"Mov Disord"},{"key":"439-2_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61695-2","volume-title":"Introduction to multiple time series analysis","author":"H Luetkepohl","year":"1993","unstructured":"Luetkepohl H (1993) Introduction to multiple time series analysis. Springer, New York"},{"key":"439-2_CR18","volume-title":"Directional statistics","author":"K Mardia","year":"2000","unstructured":"Mardia K, Jupp P (2000) Directional statistics. Wiley, West Sussex"},{"key":"439-2_CR19","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.physrep.2006.11.001","volume":"438","author":"N Marwan","year":"2007","unstructured":"Marwan N, Carmen Romano M, Thiel M, Kurths J (2007) Recurrence plots for the analysis of complex systems. Phys Rep 438:237\u2013329","journal-title":"Phys Rep"},{"key":"439-2_CR20","doi-asserted-by":"publisher","first-page":"358","DOI":"10.1016\/S0167-2789(00)00087-7","volume":"144","author":"F Mormann","year":"2000","unstructured":"Mormann F, Lehnertz K, David P, Elger CE (2000) Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients. Physica D 144:358\u2013369","journal-title":"Physica D"},{"key":"439-2_CR21","doi-asserted-by":"publisher","first-page":"038701","DOI":"10.1103\/PhysRevLett.104.038701","volume":"104","author":"J Nawrath","year":"2010","unstructured":"Nawrath J, Romano MC, Thiel M, Kiss IZ, Wickramasinghe M, Timmer J, Kurths J, Schelter B (2010) Distinguishing direct and indirect interactions in oscillatory networks with multiple time scales. Phys Rev Lett 104:038701","journal-title":"Phys Rev Lett"},{"key":"439-2_CR22","doi-asserted-by":"publisher","first-page":"024101","DOI":"10.1103\/PhysRevLett.91.024101","volume":"91","author":"GV Osipov","year":"2003","unstructured":"Osipov GV, Hu B, Zhou C, Ivanchenko MV, Kurths J (2003) Three types of transitions to phase synchronization in chaotic oscillators. Phys Rev Lett 91:024101","journal-title":"Phys Rev Lett"},{"key":"439-2_CR23","doi-asserted-by":"publisher","first-page":"712","DOI":"10.1103\/PhysRevLett.45.712","volume":"45","author":"N Packard","year":"1980","unstructured":"Packard N, Crutchfield J, Farmer D, Shaw R (1980) Geometry from a time series. Phys Rev Lett 45:712","journal-title":"Phys Rev Lett"},{"key":"439-2_CR24","doi-asserted-by":"publisher","first-page":"055201","DOI":"10.1103\/PhysRevE.67.055201","volume":"67","author":"M Palus","year":"2003","unstructured":"Palus M, Stefanovska A (2003) Direction of coupling from phases of interacting oscillators: an information theoretic approach. Phys Rev E 67:055201","journal-title":"Phys Rev E"},{"key":"439-2_CR25","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1103\/PhysRevLett.64.821","volume":"64","author":"LM Pecora","year":"1990","unstructured":"Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821\u2013824","journal-title":"Phys Rev Lett"},{"key":"439-2_CR26","doi-asserted-by":"crossref","first-page":"2291","DOI":"10.1142\/S0218127400001481","volume":"10","author":"A Pikovsky","year":"2000","unstructured":"Pikovsky A, Rosenblum M, Kurths J (2000) Phase synchronization in regular and chaotic systems. Int J Bifurc Chaos 10:2291\u20132305","journal-title":"Int J Bifurc Chaos"},{"key":"439-2_CR27","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755743","volume-title":"Synchronization \u2013 a universal concept in nonlinear sciences","author":"A Pikovsky","year":"2001","unstructured":"Pikovsky A, Rosenblum M, Kurths J (2001) Synchronization \u2013 a universal concept in nonlinear sciences. Cambridge University Press, Cambridge"},{"key":"439-2_CR28","first-page":"1","volume":"13","author":"H Poincare","year":"1890","unstructured":"Poincare H (1890) Sur les equations de la dynamique et le probleme de trois corps. Acta Mathematica 13:1\u2013270","journal-title":"Acta Mathematica"},{"key":"439-2_CR29","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/0375-9601(76)90101-8","volume":"57","author":"OE Roessler","year":"1976","unstructured":"Roessler OE (1976) An equation for continuous chaos. Phys Lett A 57:397\u2013398","journal-title":"Phys Lett A"},{"key":"439-2_CR30","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1209\/epl\/i2005-10095-1","volume":"71","author":"MC Romano","year":"2005","unstructured":"Romano MC, Thiel M, Kurths J, Kiss IZ, Hudson JL (2005) Detection of synchronization for non-phase-coherent and non-stationary data. Europhys Lett 71:466\u2013472","journal-title":"Europhys Lett"},{"key":"439-2_CR31","doi-asserted-by":"publisher","first-page":"1804","DOI":"10.1103\/PhysRevLett.76.1804","volume":"76","author":"MG Rosenblum","year":"1996","unstructured":"Rosenblum MG, Pikovsky AS, Kurths J (1996) Phase synchronization of chaotic oscillators. Phys Rev Lett 76:1804\u20131807","journal-title":"Phys Rev Lett"},{"key":"439-2_CR32","doi-asserted-by":"publisher","first-page":"4193","DOI":"10.1103\/PhysRevLett.78.4193","volume":"78","author":"MG Rosenblum","year":"1997","unstructured":"Rosenblum MG, Pikovsky AS, Kurths J (1997) From phase to lag synchronization in coupled chaotic oscillators. Phys Rev Lett 78:4193\u20134196","journal-title":"Phys Rev Lett"},{"key":"439-2_CR33","series-title":"Neuroinformatics","first-page":"279","volume-title":"Handbook of biological physics","author":"MG Rosenblum","year":"2001","unstructured":"Rosenblum MG, Pikovsky A, Kurths J, Schaefer C, Tass PA (2001) Phase synchronization: from theory to data analysis. In: Moss F, Gielen S (eds) Handbook of biological physics, vol 4, Neuroinformatics. Elsevier, Amsterdam, pp 279\u2013321"},{"key":"439-2_CR34","doi-asserted-by":"publisher","first-page":"061121","DOI":"10.1103\/PhysRevE.86.061121","volume":"86","author":"J Runge","year":"2012","unstructured":"Runge J, Heitzig J, Marwan N, Kurths J (2012) Quantifying causal coupling strength: a lag-specific measure for multivariate time series related to transfer entropy. Phys Rev E 86:061121","journal-title":"Phys Rev E"},{"key":"439-2_CR35","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1007\/BF01053745","volume":"65","author":"T Sauer","year":"1991","unstructured":"Sauer T, Yorke J, Casdagli M (1991) Embedology. J Stat Phys 65:579\u2013616","journal-title":"J Stat Phys"},{"volume-title":"Handbook of time series analysis","year":"2006","key":"439-2_CR36","unstructured":"Schelter B, Winterhalder M, Timmer J (eds) (2006a) Handbook of time series analysis. Wiley-VCH, Berlin"},{"key":"439-2_CR37","doi-asserted-by":"publisher","first-page":"208103","DOI":"10.1103\/PhysRevLett.96.208103","volume":"96","author":"B Schelter","year":"2006","unstructured":"Schelter B, Winterhalder M, Dahlhaus R, Kurths J, Timmer J (2006b) Partial phase synchronization for multivariate synchronizing system. Phys Rev Lett 96:208103","journal-title":"Phys Rev Lett"},{"key":"439-2_CR38","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1016\/j.jneumeth.2005.09.001","volume":"152","author":"B Schelter","year":"2006","unstructured":"Schelter B, Winterhalder M, Eichler M, Peifer M, Hellwig B, Guschlbauer B, Luecking CH, Dahlhaus R, Timmer J (2006c) Testing for directed influences among neural signals using partial directed coherence. J Neurosci Methods 152:210\u2013219","journal-title":"J Neurosci Methods"},{"key":"439-2_CR39","doi-asserted-by":"publisher","first-page":"013111","DOI":"10.1063\/1.2430639","volume":"17","author":"D Smirnov","year":"2007","unstructured":"Smirnov D, Schelter B, Winterhalder M, Timmer J (2007) Revealing direction of coupling between neuronal oscillators from time series: phase dynamics modeling versus partial directed coherence. Chaos 17:013111","journal-title":"Chaos"},{"key":"439-2_CR40","series-title":"Lecture notes in mathematics","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1007\/BFb0091924","volume-title":"Dynamical systems and turbulence (Warwick 1980)","author":"F Takens","year":"1981","unstructured":"Takens F (1981) Detecting strange attractors in turbulence. In: Rand DA, Young L-S (eds) Dynamical systems and turbulence (Warwick 1980), vol 898, Lecture notes in mathematics. Springer, Berlin, pp 366\u2013381"},{"key":"439-2_CR41","doi-asserted-by":"publisher","first-page":"3291","DOI":"10.1103\/PhysRevLett.81.3291","volume":"81","author":"PA Tass","year":"1998","unstructured":"Tass PA, Rosenblum MG, Weule J, Kurths J, Pikovsky A, Volkmann J, Schnitzler A, Freund HJ (1998) Detection of n : m phase locking from noisy data: application to magnetoencephalography. Phys Rev Lett 81:3291\u20133295","journal-title":"Phys Rev Lett"},{"key":"439-2_CR42","doi-asserted-by":"publisher","first-page":"700","DOI":"10.1080\/14786442208633932","volume":"43","author":"B van der Pol","year":"1922","unstructured":"van der Pol B (1922) On oscillation-hysteresis in a simple triode generator. Phil Mag 43:700\u2013719","journal-title":"Phil Mag"},{"key":"439-2_CR43","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1212\/WNL.46.5.1359","volume":"46","author":"J Volkmann","year":"1996","unstructured":"Volkmann J, Joliot M, Mogilner A, Ioannides AA, Lado F, Fazzini E, Ribary U, Llinas R (1996) Central motor loop oscillations in Parkinsonian resting tremor revealed by magnetoencephalography. Neurology 46:1359\u20131370","journal-title":"Neurology"},{"key":"439-2_CR44","doi-asserted-by":"crossref","unstructured":"Wibral M, Wollstadt P, Meyer U, Pampu N, Priesemann V, Vicente R (2012) Revisiting Wiener\u2018s principle of causality \u2013 interaction-delay reconstruction using transfer entropy. In: Proceedings of the 34th annual international conference of the IEEE EMBS (EMBC 2012), San Diego","DOI":"10.1109\/EMBC.2012.6346764"},{"key":"439-2_CR45","doi-asserted-by":"publisher","first-page":"2217","DOI":"10.1142\/S0218127401003231","volume":"11","author":"M Wiesenfeldt","year":"2001","unstructured":"Wiesenfeldt M, Parlitz U, Lauterborn W (2001) Mixed state analysis of multivariate time series. Int J Bifurc Chaos 11:2217\u20132226","journal-title":"Int J Bifurc Chaos"}],"container-title":["Encyclopedia of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4614-7320-6_439-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,16]],"date-time":"2023-02-16T22:38:48Z","timestamp":1676587128000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4614-7320-6_439-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9781461473206"],"references-count":45,"URL":"https:\/\/doi.org\/10.1007\/978-1-4614-7320-6_439-2","relation":{},"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"27 February 2014, 18:04:47","order":1,"name":"received","label":"Received","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"27 February 2014, 18:04:47","order":2,"name":"accepted","label":"Accepted","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"10 July 2014","order":3,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}