{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T21:32:21Z","timestamp":1774042341121,"version":"3.50.1"},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Integration"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.vlsi.2026.102700","type":"journal-article","created":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T07:41:24Z","timestamp":1772264484000},"page":"102700","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Emergence of dynamical transitions in the route to complete synchronization"],"prefix":"10.1016","volume":"109","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-4399-2183","authenticated-orcid":false,"given":"J.M.","family":"Rodr\u00edguez-Ornelas","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3664-978X","authenticated-orcid":false,"given":"R.","family":"Sevilla-Escoboza","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8639-5132","authenticated-orcid":false,"given":"V.P.","family":"Vera-\u00c1vila","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8872-5732","authenticated-orcid":false,"given":"R.R.","family":"Rivera-Dur\u00f3n","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/j.vlsi.2026.102700_b1","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1109\/31.75404","article-title":"Synchronizing chaotic circuits","volume":"38","author":"Carroll","year":"1991","journal-title":"IEEE Trans. Circuits Syst."},{"issue":"10","key":"10.1016\/j.vlsi.2026.102700_b2","doi-asserted-by":"crossref","first-page":"2109","DOI":"10.1103\/PhysRevLett.80.2109","article-title":"Master stability functions for synchronized coupled systems","volume":"80","author":"Pecora","year":"1998","journal-title":"Phys. Rev. Lett."},{"issue":"20","key":"10.1016\/j.vlsi.2026.102700_b3","doi-asserted-by":"crossref","first-page":"3177","DOI":"10.3390\/math12203177","article-title":"Synchronization of chaotic systems with huygens-like coupling","volume":"12","author":"Pena Ramirez","year":"2024","journal-title":"Mathematics"},{"issue":"8","key":"10.1016\/j.vlsi.2026.102700_b4","doi-asserted-by":"crossref","first-page":"413","DOI":"10.3390\/e19080413","article-title":"The emergence of hyperchaos and synchronization in networks with discrete periodic oscillators","volume":"19","author":"Arellano-Delgado","year":"2017","journal-title":"Entropy"},{"issue":"5","key":"10.1016\/j.vlsi.2026.102700_b5","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1016\/0375-9601(76)90101-8","article-title":"An equation for continuous chaos","volume":"57","author":"R\u00f6ssler","year":"1976","journal-title":"Phys. Lett. A"},{"issue":"11","key":"10.1016\/j.vlsi.2026.102700_b6","first-page":"923","article-title":"Different types of chaos in two coupled continuous systems","volume":"50","author":"R\u00f6ssler","year":"1995","journal-title":"Z. F\u00fcr Naturforschung A"},{"issue":"1864","key":"10.1016\/j.vlsi.2026.102700_b7","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1098\/rsta.2007.2103","article-title":"Synchronization of coupled bistable chaotic systems: Experimental study","volume":"366","author":"Pisarchik","year":"2008","journal-title":"Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci."},{"issue":"3","key":"10.1016\/j.vlsi.2026.102700_b8","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.92.032804","article-title":"Enhancing the stability of the synchronization of multivariable coupled oscillators","volume":"92","author":"Sevilla-Escoboza","year":"2015","journal-title":"Phys. Rev. E"},{"issue":"10","key":"10.1016\/j.vlsi.2026.102700_b9","doi-asserted-by":"crossref","DOI":"10.1063\/5.0020419","article-title":"Complex networks exhibit intermittent synchronization","volume":"30","author":"Vera-\u00c1vila","year":"2020","journal-title":"Chaos: An Interdiscip. J. Nonlinear Sci."},{"issue":"1","key":"10.1016\/j.vlsi.2026.102700_b10","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.99.012310","article-title":"Dynamical complexity as a proxy for the network degree distribution","volume":"99","author":"Tlaie","year":"2019","journal-title":"Phys. Rev. E"},{"issue":"1","key":"10.1016\/j.vlsi.2026.102700_b11","doi-asserted-by":"crossref","first-page":"14668","DOI":"10.1038\/s41598-020-71373-4","article-title":"Identifiability of structural networks of nonlinear electronic oscillators","volume":"10","author":"Vera-\u00c1vila","year":"2020","journal-title":"Sci. Rep."},{"key":"10.1016\/j.vlsi.2026.102700_b12","doi-asserted-by":"crossref","first-page":"1185","DOI":"10.1016\/j.dib.2016.03.097","article-title":"Synchronization of networks of chaotic oscillators: Structural and dynamical datasets","volume":"7","author":"Sevilla-Escoboza","year":"2016","journal-title":"Data Brief"},{"key":"10.1016\/j.vlsi.2026.102700_b13","doi-asserted-by":"crossref","DOI":"10.1016\/j.dib.2019.105012","article-title":"Experimental datasets of networks of nonlinear oscillators: Structure and dynamics during the path to synchronization","volume":"28","author":"Vera-\u00c1vila","year":"2020","journal-title":"Data Brief"},{"key":"10.1016\/j.vlsi.2026.102700_b14","series-title":"Chaos Synchronization","first-page":"73","article-title":"FPAA-based implementation of chaotic circuits","author":"Buscarino","year":"2014"},{"key":"10.1016\/j.vlsi.2026.102700_b15","first-page":"250","article-title":"Synchronization and FPGA realization of complex networks with fractional-order Liu chaotic oscillators","volume":"332","author":"Soriano-S\u00e1nchez","year":"2018","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.vlsi.2026.102700_b16","doi-asserted-by":"crossref","DOI":"10.1016\/j.vlsi.2024.102158","article-title":"Digital synchronization of the MACM chaotic system by using PIC24-microcontrollers and the SPI-protocol","volume":"96","author":"M\u00e9ndez-Ram\u00edrez","year":"2024","journal-title":"Integration"},{"issue":"3","key":"10.1016\/j.vlsi.2026.102700_b17","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1140\/epjs\/s11734-021-00406-4","article-title":"On the behavior of bidirectionally coupled multistable systems","volume":"231","author":"Ruiz-Silva","year":"2022","journal-title":"Eur. Phys. J. Spec. Top."},{"issue":"2","key":"10.1016\/j.vlsi.2026.102700_b18","doi-asserted-by":"crossref","first-page":"122","DOI":"10.51537\/chaos.1376501","article-title":"Emergent behaviors in coupled multi-scroll oscillators in network with subnetworks","volume":"6","author":"Ruiz-Silva","year":"2024","journal-title":"CHAOS Theory Appl."},{"issue":"4","key":"10.1016\/j.vlsi.2026.102700_b19","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1063\/1.166278","article-title":"Fundamentals of synchronization in chaotic systems, concepts, and applications","volume":"7","author":"Pecora","year":"1997","journal-title":"Chaos: An Interdiscip. J. Nonlinear Sci."},{"issue":"2","key":"10.1016\/j.vlsi.2026.102700_b20","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/BF02462866","article-title":"Chaos in abstract kinetics: Two prototypes","volume":"39","author":"R\u00f6ssler","year":"1977","journal-title":"Bull. Math. Biol."},{"issue":"1","key":"10.1016\/j.vlsi.2026.102700_b21","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1111\/j.1749-6632.1979.tb29482.x","article-title":"Continuous chaos\u2014Four prototype equations","volume":"316","author":"R\u00f6ssler","year":"1979","journal-title":"Ann. New York Acad. Sci."},{"issue":"3","key":"10.1016\/j.vlsi.2026.102700_b22","doi-asserted-by":"crossref","first-page":"1874","DOI":"10.1103\/PhysRevE.50.1874","article-title":"Synchronous chaos in coupled oscillator systems","volume":"50","author":"Heagy","year":"1994","journal-title":"Phys. Rev. E"},{"issue":"1","key":"10.1016\/j.vlsi.2026.102700_b23","first-page":"122","article-title":"Homoclinic orbits in a piecewise linear R\u00f6ssler-like circuit","volume":"23","author":"Pisarchik","year":"2005","journal-title":"J. Phys.: Conf. Ser."},{"key":"10.1016\/j.vlsi.2026.102700_b24","doi-asserted-by":"crossref","first-page":"10829","DOI":"10.1038\/srep10829","article-title":"Inferring the connectivity of coupled oscillators from time-series statistical similarity analysis","volume":"5","author":"Tirabassi","year":"2015","journal-title":"Sci. Rep."},{"key":"10.1016\/j.vlsi.2026.102700_b25","series-title":"Fundamentals of Complex Networks: Models, Structures, and Dynamics","author":"Chen","year":"2015"},{"key":"10.1016\/j.vlsi.2026.102700_b26","series-title":"Graph Theory and Complex Networks: An Introduction","author":"van Steen","year":"2010"},{"key":"10.1016\/j.vlsi.2026.102700_b27","series-title":"Network Science","author":"Barab\u00e1si","year":"2016"},{"issue":"8","key":"10.1016\/j.vlsi.2026.102700_b28","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1134\/S0005117924700127","article-title":"A comparative analysis of centrality measures in complex networks","volume":"85","author":"Meshcheryakova","year":"2024","journal-title":"Autom. Remote Control"},{"issue":"6684","key":"10.1016\/j.vlsi.2026.102700_b29","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1038\/30918","article-title":"Collective dynamics of \u2018small-world\u2019 networks","volume":"393","author":"Watts","year":"1998","journal-title":"Nature"},{"issue":"3\u20134","key":"10.1016\/j.vlsi.2026.102700_b30","first-page":"290","article-title":"On random graphs. I","volume":"6","author":"Erd\u0151s","year":"1959","journal-title":"Publ. Math."},{"key":"10.1016\/j.vlsi.2026.102700_b31","series-title":"Synchronization: A Universal Concept in Nonlinear Sciences","author":"Pikovsky","year":"2001"},{"issue":"1","key":"10.1016\/j.vlsi.2026.102700_b32","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.98.012208","article-title":"Enhancing master-slave synchronization: The effect of using a dynamic coupling","volume":"98","author":"Pena Ramirez","year":"2018","journal-title":"Phys. Rev. E"},{"issue":"24","key":"10.1016\/j.vlsi.2026.102700_b33","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.96.244102","article-title":"Synchronization of chaotic systems with coexisting attractors","volume":"96","author":"Pisarchik","year":"2006","journal-title":"Phys. Rev. Lett."},{"issue":"1\u20132","key":"10.1016\/j.vlsi.2026.102700_b34","first-page":"1","article-title":"The synchronization of chaotic systems","volume":"366","author":"Pisarchik","year":"2002","journal-title":"Phys. Rep."},{"key":"10.1016\/j.vlsi.2026.102700_b35","series-title":"NI cRIO-9072\/9073\/9074 user manual and specifications","author":"National Instruments","year":"2016"},{"key":"10.1016\/j.vlsi.2026.102700_b36","series-title":"NI-9220 specifications","author":"National Instruments","year":"2025"},{"key":"10.1016\/j.vlsi.2026.102700_b37","series-title":"NI-9264 and sbrio-9264 specifications","author":"National Instruments","year":"2025"},{"key":"10.1016\/j.vlsi.2026.102700_b38","series-title":"USB-6363 specifications","author":"National Instruments","year":"2025"},{"key":"10.1016\/j.vlsi.2026.102700_b39","unstructured":"GW Instek, Good Will Instrument Co., Ltd., Multiple Output Programmable Linear D.C. Power Supply: GPD-2303S\/3303S\/4303S and GPD-3303D (Data Sheet), Document code: PD-0000DGD1DH, URL https:\/\/assets.testequity.com\/te1\/Documents\/pdf\/GPD-ds.pdf."},{"key":"10.1016\/j.vlsi.2026.102700_b40","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/0167-2789(91)90103-G","article-title":"Globally coupled circle maps","volume":"54","author":"Kaneko","year":"1991","journal-title":"Phys. D"},{"issue":"2\u20133","key":"10.1016\/j.vlsi.2026.102700_b41","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1080\/02604027.1991.9972257","article-title":"Chaotic itinerancy as a dynamical basis of hermeneutics in brain and mind","volume":"32","author":"Tsuda","year":"1991","journal-title":"World Futur."},{"key":"10.1016\/j.vlsi.2026.102700_b42","series-title":"From chaotic itinerancy to intermittent synchronization in complex networks","author":"Leyva","year":"2025"},{"key":"10.1016\/j.vlsi.2026.102700_b43","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.106.128701","article-title":"Explosive synchronization transitions in scale-free networks","volume":"106","author":"G\u00f3mez-Garde\u00f1es","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.vlsi.2026.102700_b44","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.108.168702","article-title":"Explosive first-order transition to synchrony in networked chaotic oscillators","volume":"108","author":"Leyva","year":"2012","journal-title":"Phys. Rev. Lett."}],"container-title":["Integration"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167926026000556?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167926026000556?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T19:51:12Z","timestamp":1774036272000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167926026000556"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":44,"alternative-id":["S0167926026000556"],"URL":"https:\/\/doi.org\/10.1016\/j.vlsi.2026.102700","relation":{"is-supplemented-by":[{"id-type":"uri","id":"https:\/\/zenodo.org\/records\/17451096","asserted-by":"subject"},{"id-type":"doi","id":"10.5281\/zenodo.17451530","asserted-by":"subject"}]},"ISSN":["0167-9260"],"issn-type":[{"value":"0167-9260","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Emergence of dynamical transitions in the route to complete synchronization","name":"articletitle","label":"Article Title"},{"value":"Integration","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.vlsi.2026.102700","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"102700"}}