{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,22]],"date-time":"2026-09-22T18:19:07Z","timestamp":1790101147577,"version":"4.0.1"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T00:00:00Z","timestamp":1733788800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,12,10]],"date-time":"2024-12-10T00:00:00Z","timestamp":1733788800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003339","name":"Consejo Superior de Investigaciones Cientificas","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100003339","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch Rational Mech Anal"],"published-print":{"date-parts":[[2025,2]]},"abstract":"<jats:title>Abstract<\/jats:title>\n          <jats:p>For any (analytic) axisymmetric toroidal domain <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$\\Omega \\subset \\mathbb {R}^3$$<\/jats:tex-math>\n                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mrow>\n                    <mml:mi>\u03a9<\/mml:mi>\n                    <mml:mo>\u2282<\/mml:mo>\n                    <mml:msup>\n                      <mml:mrow>\n                        <mml:mi>R<\/mml:mi>\n                      <\/mml:mrow>\n                      <mml:mn>3<\/mml:mn>\n                    <\/mml:msup>\n                  <\/mml:mrow>\n                <\/mml:math>\n              <\/jats:alternatives>\n            <\/jats:inline-formula> we prove that there is a locally generic set of divergence-free vector fields that are not topologically equivalent to any magnetohydrostatic (MHS) state in <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$\\Omega $$<\/jats:tex-math>\n                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03a9<\/mml:mi>\n                <\/mml:math>\n              <\/jats:alternatives>\n            <\/jats:inline-formula>. Each vector field in this set is Morse\u2013Smale on the boundary, does not admit a nonconstant first integral, and exhibits fast growth of periodic orbits; in particular this set is residual in the Newhouse domain. The key dynamical idea behind this result is that a vector field with a dense set of nondegenerate periodic orbits cannot be topologically equivalent to a generic MHS state. On the analytic side, this geometric obstruction is implemented by means of a novel rigidity theorem for the relaxation of generic magnetic fields with a suitably complex orbit structure.<\/jats:p>","DOI":"10.1007\/s00205-024-02078-5","type":"journal-article","created":{"date-parts":[[2024,12,18]],"date-time":"2024-12-18T16:11:33Z","timestamp":1734538293000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Obstructions to Topological Relaxation for Generic Magnetic Fields"],"prefix":"10.1007","volume":"249","author":[{"given":"Alberto","family":"Enciso","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5567-8538","authenticated-orcid":false,"given":"Daniel","family":"Peralta-Salas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,12,10]]},"reference":[{"key":"2078_CR1","doi-asserted-by":"crossref","first-page":"319","DOI":"10.5802\/aif.233","volume":"16","author":"VI Arnold","year":"1966","unstructured":"Arnold, V.I.: Sur la g\u00e9om\u00e9trie diff\u00e9rentielle des groupes de Lie de dimension infinie et ses applications \u00e0 l\u2019hydrodynamique des fluides parfaits. Ann. Inst. Fourier 16, 319\u2013361, 1966","journal-title":"Ann. Inst. Fourier"},{"key":"2078_CR2","first-page":"327","volume":"5","author":"VI Arnold","year":"1986","unstructured":"Arnold, V.I.: The asymptotic Hopf invariant and its applications. Selecta Math. Sov. 5, 327\u2013345, 1986","journal-title":"Selecta Math. Sov."},{"key":"2078_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-74278-2","volume-title":"Topological Methods in Hydrodynamics","author":"VI Arnold","year":"2021","unstructured":"Arnold, V.I., Khesin, B.A.: Topological Methods in Hydrodynamics, 2nd edn. Springer, New York (2021)","edition":"2"},{"key":"2078_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-48926-9","volume-title":"Mathematical Aspects of Classical and Celestial Mechanics","author":"VI Arnold","year":"2006","unstructured":"Arnold, V.I., Kozlov, V.V., Neishtadt, A.I.: Mathematical Aspects of Classical and Celestial Mechanics. Springer, Berlin (2006)"},{"key":"2078_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00220-017-2972-0","volume":"356","author":"M Asaoka","year":"2017","unstructured":"Asaoka, M.: Abundance of fast growth of the number of periodic points in 2-dimensional area-preserving dynamics. Comm. Math. Phys. 356, 1\u201317, 2017","journal-title":"Comm. Math. Phys."},{"key":"2078_CR6","doi-asserted-by":"crossref","first-page":"1311","DOI":"10.1007\/s00220-021-04289-3","volume":"390","author":"R Beekie","year":"2022","unstructured":"Beekie, R., Friedlander, S., Vicol, V.: On Moffatt\u2019s magnetic relaxation equations. Comm. Math. Phys. 390, 1311\u20131339, 2022","journal-title":"Comm. Math. Phys."},{"key":"2078_CR7","doi-asserted-by":"crossref","DOI":"10.1063\/1.5110533","volume":"61","author":"P Berger","year":"2020","unstructured":"Berger, P.: Complexities of differentiable dynamical systems. J. Math. Phys. 61, 032702, 2020","journal-title":"J. Math. Phys."},{"key":"2078_CR8","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1007\/s00220-023-04660-6","volume":"401","author":"P Berger","year":"2023","unstructured":"Berger, P., Florio, A., Peralta-Salas, D.: Steady Euler flows on $${\\mathbb{R} }^{3}$$ with wild and universal dynamics. Comm. Math. Phys. 401, 937\u2013983, 2023","journal-title":"Comm. Math. Phys."},{"key":"2078_CR9","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1051\/m2an:1999121","volume":"33","author":"T-M Boulmezaoud","year":"1999","unstructured":"Boulmezaoud, T.-M., Maday, Y., Amari, T.: On the linear force-free fields in bounded and unbounded three-dimensional domains. Math. Mod. Num. Anal. 33, 359\u2013393, 1999","journal-title":"Math. Mod. Num. Anal."},{"key":"2078_CR10","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1007\/s00220-014-1967-3","volume":"330","author":"Y Brenier","year":"2014","unstructured":"Brenier, Y.: Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation. Comm. Math. Phys. 330, 757\u2013770, 2014","journal-title":"Comm. Math. Phys."},{"key":"2078_CR11","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1007\/BF02565913","volume":"33","author":"F Bruhat","year":"1959","unstructured":"Bruhat, F., Whitney, H.: Quelques propri\u00e9t\u00e9s fondamentales des ensembles analytiques-r\u00e9els. Comment. Math. Helv. 33, 132\u2013160, 1959","journal-title":"Comment. Math. Helv."},{"key":"2078_CR12","doi-asserted-by":"crossref","first-page":"1225","DOI":"10.2140\/apde.2019.12.1225","volume":"12","author":"B Buffoni","year":"2019","unstructured":"Buffoni, B., Wahl\u00e9n, E.: Steady three-dimensional rotational flows: an approach via two stream functions and Nash-Moser iteration. Anal & PDE 12, 1225\u20131258, 2019","journal-title":"Anal & PDE"},{"key":"2078_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1088\/0004-637X\/808\/2\/134","volume":"808","author":"S Candelaresi","year":"2015","unstructured":"Candelaresi, S., Pontin, D.I., Hornig, G.: Magnetic field relaxation and current sheets in an ideal plasma. Astrophys. J. 808, 1\u20138, 2015","journal-title":"Astrophys. J."},{"key":"2078_CR14","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1017\/etds.2015.50","volume":"37","author":"K Cieliebak","year":"2017","unstructured":"Cieliebak, K., Volkov, E.: A note on the stationary Euler equations of hydrodynamics. Ergod. Th. & Dynam. Sys. 37, 454\u2013480, 2017","journal-title":"Ergod. Th. & Dynam. Sys."},{"key":"2078_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/s0294-1449(16)30307-9","volume":"7","author":"B Dacorogna","year":"1990","unstructured":"Dacorogna, B., Moser, J.: On a partial differential equation involving the jacobian determinant. Ann. Inst. Henri Poincar\u00e9 7, 1\u201326, 1990","journal-title":"Ann. Inst. Henri Poincar\u00e9"},{"key":"2078_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4171\/emss\/66","volume":"10","author":"TD Drivas","year":"2023","unstructured":"Drivas, T.D., Elgindi, T.M.: Singularity formation in the incompressible Euler equation in finite and infinite time. EMS Surv. Math. Sci. 10, 1\u2013100, 2023","journal-title":"EMS Surv. Math. Sci."},{"key":"2078_CR17","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1080\/026811199281930","volume":"14","author":"P Duarte","year":"1999","unstructured":"Duarte, P.: Abundance of elliptic isles at conservative bifurcations. Dyn. Stab. Syst. 14, 339\u2013356, 1999","journal-title":"Dyn. Stab. Syst."},{"key":"2078_CR18","unstructured":"Enciso, A., Luque, A., Peralta-Salas, D.: MHD equilibria with nonconstant pressure in nondegenerate toroidal domains. J. Eur. Math. Soc. in press."},{"key":"2078_CR19","doi-asserted-by":"crossref","first-page":"345","DOI":"10.4007\/annals.2012.175.1.9","volume":"175","author":"A Enciso","year":"2012","unstructured":"Enciso, A., Peralta-Salas, D.: Knots and links in steady solutions of the Euler equation. Ann. of Math. 175, 345\u2013367, 2012","journal-title":"Ann. of Math."},{"key":"2078_CR20","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s11511-015-0123-z","volume":"214","author":"A Enciso","year":"2015","unstructured":"Enciso, A., Peralta-Salas, D.: Existence of knotted vortex tubes in steady fluid flows. Acta Math. 214, 61\u2013134, 2015","journal-title":"Acta Math."},{"key":"2078_CR21","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1088\/0951-7715\/20\/2\/002","volume":"20","author":"S Gonchenko","year":"2007","unstructured":"Gonchenko, S., Shilnikov, L., Turaev, D.: Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps. Nonlinearity 20, 241\u2013275, 2007","journal-title":"Nonlinearity"},{"key":"2078_CR22","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1007\/s00205-020-01556-w","volume":"238","author":"B Khesin","year":"2020","unstructured":"Khesin, B., Kuksin, S., Peralta-Salas, D.: Global, local and dense non-mixing of the 3D Euler equation. Arch. Rat. Mech. Anal. 238, 1087\u20131112, 2020","journal-title":"Arch. Rat. Mech. Anal."},{"issue":"3","key":"2078_CR23","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.4007\/annals.2014.180.3.9","volume":"180","author":"A Kiselev","year":"2014","unstructured":"Kiselev, A., Sverak, V.: Small-scale creation for solutions of the incompressible two-dimensional Euler equation. Ann. Math. 180(3), 1205\u20131220, 2014","journal-title":"Ann. Math."},{"key":"2078_CR24","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1112\/blms.12575","volume":"54","author":"R Komendarczyk","year":"2022","unstructured":"Komendarczyk, R.: On Woltjer\u2019s force-free minimizers and Moffatt\u2019s magnetic relaxation. Bull. London Math. Soc. 54, 233\u2013241, 2022","journal-title":"Bull. London Math. Soc."},{"key":"2078_CR25","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1007\/BF02566410","volume":"71","author":"G Kuperberg","year":"1996","unstructured":"Kuperberg, G.: A volume-preserving counterexample to the Seifert conjecture. Comm. Math. Helv. 71, 70\u201397, 1996","journal-title":"Comm. Math. Helv."},{"key":"2078_CR26","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1088\/0004-637X\/718\/2\/717","volume":"718","author":"BC Low","year":"2010","unstructured":"Low, B.C.: The Parker magnetostatic theorem. Astrophys. J. 718, 717\u2013723, 2010","journal-title":"Astrophys. J."},{"key":"2078_CR27","first-page":"1","volume":"144","author":"L Markus","year":"1974","unstructured":"Markus, L., Meyer, K.: Generic Hamiltonian dynamical systems are neither integrable nor ergodic. Mem. Amer. Math. Soc. 144, 1\u201352, 1974","journal-title":"Mem. Amer. Math. Soc."},{"key":"2078_CR28","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1017\/S0022112085003251","volume":"159","author":"HK Moffatt","year":"1985","unstructured":"Moffatt, H.K.: Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. I. Fundamentals. J. Fluid Mech. 159, 359\u2013378, 1985","journal-title":"J. Fluid Mech."},{"key":"2078_CR29","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1017\/S0022112086000198","volume":"166","author":"HK Moffatt","year":"1986","unstructured":"Moffatt, H.K.: Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. II. Stability considerations. J. Fluid Mech. 166, 359\u2013378, 1986","journal-title":"J. Fluid Mech."},{"key":"2078_CR30","doi-asserted-by":"crossref","unstructured":"Moffatt, H.K.: Some topological aspects of fluid dynamics. J. Fluid Mech. 914, 2021","DOI":"10.1017\/jfm.2020.230"},{"key":"2078_CR31","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1090\/S0002-9947-1965-0182927-5","volume":"120","author":"J Moser","year":"1965","unstructured":"Moser, J.: On the volume elements on a manifold. Trans. Amer. Math. Soc. 120, 286\u2013294, 1965","journal-title":"Trans. Amer. Math. Soc."},{"key":"2078_CR32","volume-title":"Stable and Random Motions in Dynamical Systems","author":"J Moser","year":"1973","unstructured":"Moser, J.: Stable and Random Motions in Dynamical Systems. Princeton Univ. Press, Princeton (1973)"},{"key":"2078_CR33","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/0040-9383(74)90034-2","volume":"12","author":"SE Newhouse","year":"1974","unstructured":"Newhouse, S.E.: Diffeomorphisms with infinitely many sinks. Topology 12, 9\u201318, 1974","journal-title":"Topology"},{"key":"2078_CR34","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.2307\/2374000","volume":"99","author":"SE Newhouse","year":"1977","unstructured":"Newhouse, S.E.: Quasi-elliptic periodic points in conservative dynamical systems. Amer. J. Math. 99, 1061\u20131087, 1977","journal-title":"Amer. J. Math."},{"key":"2078_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-5703-5","volume-title":"Geometric Theory of Dynamical Systems","author":"J Palis","year":"1982","unstructured":"Palis, J., de Melo, W.: Geometric Theory of Dynamical Systems. Springer, New York (1982)"},{"key":"2078_CR36","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1086\/151512","volume":"174","author":"EN Parker","year":"1972","unstructured":"Parker, E.N.: Topological dissipation and the small-scale fields in turbulent gases. Astrophys. J. 174, 499\u2013510, 1972","journal-title":"Astrophys. J."},{"key":"2078_CR37","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195073713.001.0001","volume-title":"Spontaneous Current Sheets in Magnetic Field","author":"EN Parker","year":"1994","unstructured":"Parker, E.N.: Spontaneous Current Sheets in Magnetic Field. Oxford Univ. Press, New York (1994)"},{"key":"2078_CR38","doi-asserted-by":"crossref","first-page":"2166","DOI":"10.1017\/etds.2020.25","volume":"41","author":"D Peralta-Salas","year":"2021","unstructured":"Peralta-Salas, D., Rechtman, A., Torres de Lizaur, F.: A characterization of 3D steady Euler flows using commuting zero-flux homologies. Ergod. Th. & Dynam. Sys. 41, 2166\u20132181, 2021","journal-title":"Ergod. Th. & Dynam. Sys."},{"key":"2078_CR39","unstructured":"Pirnapasov, A., Prasad, R.: Generic equidistribution for area-preserving diffeomorphisms of compact surfaces with boundary. arXiv:2211.07548."},{"key":"2078_CR40","doi-asserted-by":"crossref","DOI":"10.1088\/0741-3335\/58\/5\/054008","volume":"58","author":"DI Pontin","year":"2016","unstructured":"Pontin, D.I., Candelaresi, S., Russell, A.J.B., Hornig, G.: Braided magnetic fields: equilibria, relaxation and heating. Plasma Phys. Control. Fusion 58, 054008, 2016","journal-title":"Plasma Phys. Control. Fusion"},{"key":"2078_CR41","first-page":"1","volume":"5","author":"DI Pontin","year":"2020","unstructured":"Pontin, D.I., Hornig, G.: The Parker problem: existence of smooth force-free fields and coronal heating. Living Rev. Solar Phys. 5, 1\u201354, 2020","journal-title":"Living Rev. Solar Phys."},{"key":"2078_CR42","doi-asserted-by":"crossref","DOI":"10.1088\/1751-8121\/ac2ea3","volume":"54","author":"CB Prior","year":"2021","unstructured":"Prior, C.B., Yeates, A.R.: Intrinsic winding of braided vector fields in tubular subdomains. J. Phys. A: Math. Theor. 54, 465701, 2021","journal-title":"J. Phys. A: Math. Theor."},{"key":"2078_CR43","doi-asserted-by":"crossref","first-page":"562","DOI":"10.2307\/2373361","volume":"92","author":"C Robinson","year":"1970","unstructured":"Robinson, C.: Generic properties of conservative systems. Amer. J. Math. 92, 562\u2013603, 1970","journal-title":"Amer. J. Math."},{"key":"2078_CR44","doi-asserted-by":"crossref","first-page":"538","DOI":"10.1134\/S1560354716050051","volume":"21","author":"SM Saulin","year":"2016","unstructured":"Saulin, S.M., Treschev, D.V.: On the inclusion of a map into a flow. Reg. Chaotic Dyn. 21, 538\u2013547, 2016","journal-title":"Reg. Chaotic Dyn."},{"key":"2078_CR45","unstructured":"Sverak, V.: Selected Topics in Fluid Mechanics, https:\/\/www-users.cse.umn.edu\/~sverak\/course-notes2011.pdf, 2011\/2012."},{"key":"2078_CR46","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1070\/RM9934","volume":"75","author":"DV Treschev","year":"2020","unstructured":"Treschev, D.V.: Volume preserving diffeomorphisms as Poincar\u00e9 maps for volume preserving flows. Russ. Math. Surv. 75, 187\u2013189, 2020","journal-title":"Russ. Math. Surv."},{"key":"2078_CR47","doi-asserted-by":"crossref","unstructured":"Turaev, D.: Richness of chaos in the absolute Newhouse domain, ICM 2010 Proceedings, World Scientific, Singapore, 2011.","DOI":"10.1142\/9789814324359_0122"},{"key":"2078_CR48","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1007\/s00220-015-2338-4","volume":"335","author":"D Turaev","year":"2015","unstructured":"Turaev, D.: Maps close to identity and universal maps in the Newhouse domain. Comm. Math. Phys. 335, 1235\u20131277, 2015","journal-title":"Comm. Math. Phys."},{"key":"2078_CR49","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1090\/S0002-9947-99-02253-9","volume":"352","author":"T Tsuboi","year":"1999","unstructured":"Tsuboi, T.: The Calabi invariant and the Euler class. Trans. Amer. Math. Soc. 352, 515\u2013524, 1999","journal-title":"Trans. Amer. Math. Soc."},{"key":"2078_CR50","volume":"20","author":"AR Yeates","year":"2013","unstructured":"Yeates, A.R., Hornig, G.: Unique topological characterization of braided magnetic fields. Phys. Plasmas 20, 012102, 2013","journal-title":"Phys. Plasmas"}],"container-title":["Archive for Rational Mechanics and Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00205-024-02078-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00205-024-02078-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00205-024-02078-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,18]],"date-time":"2025-02-18T02:02:48Z","timestamp":1739844168000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00205-024-02078-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,10]]},"references-count":50,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,2]]}},"alternative-id":["2078"],"URL":"https:\/\/doi.org\/10.1007\/s00205-024-02078-5","relation":{},"ISSN":["0003-9527","1432-0673"],"issn-type":[{"value":"0003-9527","type":"print"},{"value":"1432-0673","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,10]]},"assertion":[{"value":"16 February 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 December 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 December 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"6"}}