{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T18:18:19Z","timestamp":1788373099592,"version":"build-2803163510"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T00:00:00Z","timestamp":1787097600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T00:00:00Z","timestamp":1787097600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"name":"DGAPA-PASPA, UNAM"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Brain Topogr"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1007\/s10548-026-01245-z","type":"journal-article","created":{"date-parts":[[2026,8,19]],"date-time":"2026-08-19T16:36:58Z","timestamp":1787157418000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Pronounced Nonlinear Traits at Epileptic Seizure Onset and Offset"],"prefix":"10.1007","volume":"39","author":[{"given":"David Michel","family":"Serrano-Sol\u00eds","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alberto Isaac","family":"Aguilar-Hern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wady Alexander","family":"Rios-Herrera","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kaspar","family":"Schindler","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jos\u00e9 Fernando","family":"Zapata-Berruecos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Markus Franziskus","family":"M\u00fcller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,8,19]]},"reference":[{"key":"1245_CR1","first-page":"24","volume-title":"Seizure Prediction in Epilepsy from Basic Mechanism to Clinical Applications","author":"M-T Horstmann","year":"2008","unstructured":"Horstmann M-T, M\u00fcller A, Rothkegel A, Schwabedahl J, Elger C, Lehnertz K (2008) Impact of computational models for an improved understanding of octogenesis: From single neurons to networks of neurons. In: Schelter B, Timmer J, Schulz-Bohnhage A (eds) Seizure Prediction in Epilepsy from Basic Mechanism to Clinical Applications. first ed., WILEY-VCH, Germany, pp 24\u201344"},{"key":"1245_CR2","doi-asserted-by":"crossref","unstructured":"Buzs\u00e1ki G, Draguhn A (2004) Neuronal oscillations in cortical networks. Science. ; https:\/\/www.science.org\/doi\/abs\/10.1126\/science.1099745","DOI":"10.1126\/science.1099745"},{"key":"1245_CR3","doi-asserted-by":"crossref","unstructured":"Laughlin SB, Sejnowski TJ (2003) Communication in neuronal networks. Science. ; https:\/\/www.science.org\/doi\/abs\/10.1126\/science.1089662","DOI":"10.1126\/science.1089662"},{"key":"1245_CR4","doi-asserted-by":"publisher","DOI":"10.1089\/brain.2013.0192","author":"MF M\u00fcller","year":"2014","unstructured":"M\u00fcller MF, Rummel C, Goodfellow M (2014) Standing waves as an explanation for generic stationary correlation patterns in noninvasive EEG of focal onset seizures. Brain Connect. https:\/\/www.liebertpub.com\/doi\/abs\/https:\/\/doi.org\/10.1089\/brain.2013.0192","journal-title":"Brain Connect"},{"key":"1245_CR5","doi-asserted-by":"publisher","DOI":"10.1089\/brain.2018.0609","author":"PV Olgu\u00edn-Rodr\u00edguez","year":"2018","unstructured":"Olgu\u00edn-Rodr\u00edguez PV, Arzate-Mena JD (2018) Characteristic fluctuations around stable attractor dynamics extracted from highly nonstationary electroencephalographic recordings. Brain Connect. https:\/\/www.liebertpub.com\/doi\/abs\/https:\/\/doi.org\/10.1089\/brain.2018.0609","journal-title":"Brain Connect"},{"key":"1245_CR6","doi-asserted-by":"crossref","unstructured":"Apablaza-Yevenes DE, Corsi-Cabrera M (2024) Stationary stable cross-correlation pattern and task specific deviations in unresponsive wakefulness syndrome as well as clinically healthy subjects. PLoS ONE. ; https:\/\/journals.plos.org\/plosone\/article?id=10.1371\/journal.pone.0300075","DOI":"10.1371\/journal.pone.0300075"},{"key":"1245_CR7","doi-asserted-by":"crossref","unstructured":"Mar\u00edn-Garc\u00eda AO, Arzate-Mena JD, Corsi-Cabrera M (2024) Stationary correlation pattern in highly non-stationary MEG recordings of healthy subjects and its relation to former EEG studies. PLoS ONE. ; https:\/\/journals.plos.org\/plosone\/article?id=10.1371\/journal.pone.0307378","DOI":"10.1371\/journal.pone.0307378"},{"key":"1245_CR8","doi-asserted-by":"crossref","unstructured":"Henderson JA, Aquino KM, Robinson PA (2022) Empirical estimation of the eigenmodes of macroscale cortical dynamics: Reconciling neural field eigenmodes and resting-state networks. Neuroimage: Rep. ; https:\/\/www.sciencedirect.com\/science\/article\/pii\/S2666956022000277","DOI":"10.1016\/j.ynirp.2022.100103"},{"key":"1245_CR9","doi-asserted-by":"crossref","unstructured":"Arzate-Mena JD, Abela E, Olgu\u00edn-Rodr\u00edguez PV (2022) Stationary EEG pattern relates to large-scale resting state networks\u2013An EEG-fMRI study connecting brain networks across time-scales. NeuroImage. ; https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1053811921010351","DOI":"10.1016\/j.neuroimage.2021.118763"},{"key":"1245_CR10","unstructured":"Strogatz SH (2001) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity). Chemistry-And-Engineering-%20Sec.pdf. https:\/\/www.academia.edu\/download\/62876622\/Nonlinear-Dynamics -%20And-Chaos-With-Applications-To-Physics-Biology-"},{"key":"1245_CR11","unstructured":"Kantz H, Schreiber T; Nonlinear time series analysis; 2003. https:\/\/books.google.com\/books?hl=en&lr=&id=1kUhAwAAQBAJ&oi=fnd&pg=PR11&dq=Nonlinear+Time+Series+Analysis&ots=q0W38UG1Qz&sig=49NeaNc_LKHQ2xqD69E1-LEBfgA"},{"key":"1245_CR12","doi-asserted-by":"publisher","DOI":"10.1111\/j.1528-1167.2011.03202.x","author":"K Schindler","year":"2011","unstructured":"Schindler K, Gast H, Stieglitz L, Stibal A, Hauf M (2011) Forbidden ordinal patterns of periictal intracranial EEG indicate deterministic dynamics in human epileptic seizures. Epilepsia. https:\/\/onlinelibrary.wiley.com\/doi\/abs\/https:\/\/doi.org\/10.1111\/j.1528-1167.2011.03202.x","journal-title":"Epilepsia"},{"key":"1245_CR13","doi-asserted-by":"crossref","unstructured":"Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D. ; https:\/\/www.sciencedirect.com\/science\/article\/pii\/0167278983902981","DOI":"10.1016\/0167-2789(83)90298-1"},{"key":"1245_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.80.5019","author":"K Lehnertz","year":"1998","unstructured":"Lehnertz K, Elger CE (1998) Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity. Phys Rev Lett. https:\/\/journals.aps.org\/prl\/abstract\/https:\/\/doi.org\/10.1103\/PhysRevLett.80.5019","journal-title":"Phys Rev Lett"},{"key":"1245_CR15","doi-asserted-by":"crossref","unstructured":"Martinerie J, Adam C, Quyen M, Baulac M (1998) Epileptic seizures can be anticipated by non-linear analysis. Nat Med. ; https:\/\/www.nature.com\/articles\/nm1098_1173","DOI":"10.1038\/2667"},{"key":"1245_CR16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.64.061907","author":"RG Andrzejak","year":"2001","unstructured":"Andrzejak RG, Lehnertz K, Mormann F, Rieke C (2001) Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state. Phys Rev E. https:\/\/journals.aps.org\/pre\/abstract\/https:\/\/doi.org\/10.1103\/PhysRevE.64.061907","journal-title":"Phys Rev E"},{"key":"1245_CR17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.90.032913","author":"D Naro","year":"2014","unstructured":"Naro D, Rummel C, Schindler K, Andrzejak RG (2014) Detecting determinism with improved sensitivity in time series: Rank-based nonlinear predictability score. Phys Rev E. https:\/\/journals.aps.org\/pre\/abstract\/https:\/\/doi.org\/10.1103\/PhysRevE.90.032913","journal-title":"Phys Rev E"},{"key":"1245_CR18","doi-asserted-by":"publisher","unstructured":"Mart\u00ednez CGB, Niediek J, Mormann F (2020) Seizure Onset Zone Lateralization Using a Non-linear Analysis of Micro vs. Macro Electroencephalographic Recordings During Seizure-Free Stages of the Sleep-Wake Cycle from Epilepsy Patients Frontiers in Neurology. ; https:\/\/www.frontiersin.org\/articles\/https:\/\/doi.org\/10.3389\/fneur.2020.553885\/full","DOI":"10.3389\/fneur.2020.553885\/full"},{"key":"1245_CR19","doi-asserted-by":"publisher","DOI":"10.1186\/s12911-021-01439-4","author":"M Ma","year":"2021","unstructured":"Ma M, Wei X, Cheng Y, Chen Z, Zhou Y (2021) Spatiotemporal evolution of epileptic seizure based on mutual information and dynamic brain network. BMC Med Inf and. https:\/\/link.springer.com\/article\/https:\/\/doi.org\/10.1186\/s12911-021-01439-4","journal-title":"BMC Med Inf and"},{"key":"1245_CR20","doi-asserted-by":"publisher","DOI":"10.1111\/j.1528-1167.2012.03588.x","author":"K Schindler","year":"2012","unstructured":"Schindler K, Gast H, Goodfellow M, Rummel C (2012) On seeing the trees and the forest: Single-signal and multisignal analysis of periictal intracranial eeg. Epilepsia. https:\/\/onlinelibrary.wiley.com\/doi\/abs\/https:\/\/doi.org\/10.1111\/j.1528-1167.2012.03588.x","journal-title":"Epilepsia"},{"key":"1245_CR21","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/S0304-3940(98)00435-2","volume":"250","author":"E Pereda","year":"1998","unstructured":"Pereda E, Gamundi A, Rial R, Gonz\u00e1lez J (1998) Nonlinear behaviour of human EEG: fractal exponent versus correlation dimension in awake and sleep stages. Neurosci Lett 250:91","journal-title":"Neurosci Lett"},{"key":"1245_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.144101","author":"C R\u00e4th","year":"2012","unstructured":"R\u00e4th C, Gliozzi M, Papadakis IE, Brinkmann W (2012) Revisiting algorithms for generating surrogate time series. Phys Rev Lett. https:\/\/journals.aps.org\/prl\/abstract\/https:\/\/doi.org\/10.1103\/PhysRevLett.109.144101","journal-title":"Phys Rev Lett"},{"key":"1245_CR23","unstructured":"Martinez-Guerrero A, Aguado-Garcia A On Fourier phases and their relevance for nonlinear time series analysis. Phys A: Stat \u2026 https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378437122005659"},{"key":"1245_CR24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.86.046206","author":"RG Andrzejak","year":"2012","unstructured":"Andrzejak RG, Schindler K, Rummel C (2012) Nonrandomness, nonlinear dependence, and nonstationarity of electroencephalographic recordings from epilepsy patients. Phys Rev E-Statistical. https:\/\/journals.aps.org\/pre\/abstract\/https:\/\/doi.org\/10.1103\/PhysRevE.86.046206","journal-title":"Phys Rev E-Statistical"},{"key":"1245_CR25","doi-asserted-by":"crossref","unstructured":"Aguilar-Hern\u00e1ndez AI, Serrano-Solis DM (2024) Fourier phase index for extracting signatures of determinism and nonlinear features in time series. Chaos: Interdisciplinary J Nonlinear Sci ; https:\/\/pubs.aip.org\/aip\/cha\/article\/34\/1\/013103\/2932803","DOI":"10.1063\/5.0160555"},{"key":"1245_CR26","doi-asserted-by":"crossref","unstructured":"Aguilar-Hern\u00e1ndez AI, Marin-Mendoza CA, Valdez R, M\u00fcller FM (2025) Uniform approach to reproduce the Mandelbrot set, some of its inner structure as well as its complement with high sensitivity using Fourier phases. Chaos, Solitons & Fractals. https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0960077925005880","DOI":"10.1016\/j.chaos.2025.116575"},{"key":"1245_CR27","doi-asserted-by":"crossref","unstructured":"Zubler F, Steimer A, Gast H, Schindler KA (2014) Seizure termination. Int Rev of. ; https:\/\/www.sciencedirect.com\/science\/article\/pii\/B978012418693400008X","DOI":"10.1016\/B978-0-12-418693-4.00008-X"},{"key":"1245_CR28","doi-asserted-by":"crossref","unstructured":"Lorenz EN (2017) Deterministic nonperiodic flow 1. In Universality in Chaos, 2nd edition (367\u2013378). Routledge","DOI":"10.1201\/9780203734636-38"},{"key":"1245_CR29","doi-asserted-by":"publisher","DOI":"10.1111\/j.1528-1167.2005.00342.x","author":"L Uva","year":"2005","unstructured":"Uva L, Librizzi L, Wendling F, De Curtis M (2005) Propagation dynamics of epileptiform activity acutely induced by bicuculline in the hippocampal\u2013parahippocampal region of the isolated guinea pig brain. Epilepsia. https:\/\/onlinelibrary.wiley.com\/doi\/abs\/https:\/\/doi.org\/10.1111\/j.1528-1167.2005.00342.x","journal-title":"Epilepsia"},{"key":"1245_CR30","unstructured":"Litt B, Esteller R, Echauz J, D\u2019Alessandro M, Shor R (2001) Epileptic seizures may begin hours in advance of clinical onset: a report of five patients. Neuron. ; https:\/\/www.cell.com\/neuron\/fulltext\/S0896-6273(01)00262-8 Copiar al portapapeles"},{"key":"1245_CR31","doi-asserted-by":"crossref","unstructured":"Schindler K, Leung H, Elger CE, Lehnertz K (2007) Assessing seizure dynamics by analysing the correlation structure of multichannel intracranial EEG. Brain. ; https:\/\/academic.oup.com\/brain\/article-abstract\/130\/1\/65\/346697","DOI":"10.1093\/brain\/awl304"},{"key":"1245_CR32","doi-asserted-by":"crossref","unstructured":"von Stein A, Sarnthein J (2000) Different frequencies for different scales of cortical integration: from local gamma to long range alpha\/theta synchronization. Int J Psychophysiol. ; https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0167876000001720","DOI":"10.1016\/S0167-8760(00)00172-0"}],"container-title":["Brain Topography"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10548-026-01245-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10548-026-01245-z","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10548-026-01245-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T17:55:37Z","timestamp":1788371737000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10548-026-01245-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,19]]},"references-count":32,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2026,9]]}},"alternative-id":["1245"],"URL":"https:\/\/doi.org\/10.1007\/s10548-026-01245-z","relation":{},"ISSN":["0896-0267","1573-6792"],"issn-type":[{"value":"0896-0267","type":"print"},{"value":"1573-6792","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,19]]},"assertion":[{"value":"6 January 2026","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 August 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 August 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare no competing interests.","order":1,"name":"Ethics","label":"Competing interests","group":{"name":"EthicsHeading","label":"Declarations"}}],"article-number":"91"}}