{"id":495,"date":"2019-04-12T12:26:17","date_gmt":"2019-04-12T15:26:17","guid":{"rendered":"http:\/\/www.professores.uff.br\/paulab\/?page_id=495"},"modified":"2024-09-17T13:32:50","modified_gmt":"2024-09-17T16:32:50","slug":"publications-2","status":"publish","type":"page","link":"https:\/\/www.professores.uff.br\/paulab\/publications-2\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p><strong>Preprints<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Nonholonomic momentum map reduction and a Chaplygin-type foliation (with D. Machado Tereza), Preprint (2024)<a href=\"https:\/\/arxiv.org\/abs\/2409.05970\">[Arxiv]<\/a><\/li><\/ul>\n\n\n\n<p><strong>Articles published (or to appear)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Moment map reduction for nonholonomic systems (with M.E. Garcia, C. Tori, M. Zuccalli), <em>Nonlinearity<\/em><strong>, 36<\/strong>\u00a05401 (2023) <a href=\"https:\/\/arxiv.org\/abs\/2207.02251\">[Arxiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>  First integrals and symmetries of nonholonomic systems, (with N. Sansonetto),  <em>Archive for Rational Mechanics and Analysis, <\/em> 244, 343\u2013389<em>, <\/em>(2022)  <a href=\"https:\/\/arxiv.org\/abs\/2101.01216\">[Arxiv]<\/a> <\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li> Conserved quantities and Hamiltonization of nonholonomic systems, (with Luis P. Yapu), <em> Annales de l&#8217;Institut Henri Poincar\u00e9 C, Analyse non lin\u00e9aire <\/em>   38 <strong>(1)<\/strong>,  23-60, (2021).  <a href=\"https:\/\/doi.org\/10.1016\/j.anihpc.2020.05.003\">[Online available]<\/a>     <a href=\"https:\/\/arxiv.org\/abs\/1904.00235\">[Arxiv]<\/a> <\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li> Minimal time splines on the sphere (with A. Cabrera, J. Koiller, T.J. Stuchi), <em> S\u00e3o Paulo Journal of Mathematical Sciences <\/em>   12 <strong>(1)<\/strong>,  82-107, (2018).  <a href=\"https:\/\/doi.org\/10.1007\/s40863-017-0078-4\">[Online available]<\/a>   <a href=\"https:\/\/arxiv.org\/abs\/1711.02773\">[arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Hamiltonization of solids of revolution through reduction, <em> Journal of Nonlinear Science, <\/em> 27<strong>(6)<\/strong>, 2001&#8211;2035, (2017). <a href=\"https:\/\/arxiv.org\/abs\/1610.06103\">[arXiv]<\/a> <\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>About simple variational splines from the hamiltonian viewpoint (with A. Cabrera, J. Koiller, T.J. Stuchi), <em>Journal of Geometric Mechanics,<\/em> Volume 9, Number 3 pp. 257&#8211;290, (2017). <a href=\"https:\/\/arxiv.org\/abs\/1711.02773\">[arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>A geometric characterization of certain first integrals for nonholonomic systems with symmetries (with Nicola Sansonetto) <em> SIGMA<\/em><strong>12<\/strong> 018, 14 pages, (2016). <a href=\"http:\/\/arxiv.org\/abs\/1510.08314\"> [arXiv]<\/a>, <a href=\"http:\/\/www.emis.de\/journals\/SIGMA\/2016\/018\/sigma16-018.pdf\"> [Journal]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Reduction of nonholonomic systems in two stages and Hamiltonization (with Oscar E. Fernandez), <em> Nonlinearity<\/em> <strong>28(8)<\/strong>, 2873, (2015). <a href=\"http:\/\/arxiv.org\/abs\/1409.0456\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets, <em>Archive for Rational Mechanics and Analysis.<\/em> <strong>214(2)<\/strong>, (2014), 453-501 <a href=\"http:\/\/arxiv.org\/abs\/1301.1091\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>A global version of the Koon-Marsden Jacobiator formula, <em> Fields Institute Communications series, special volume in memory of Jerry Marsden, <\/em> Volume 73, (2015), 1-17. <a href=\"http:\/\/arxiv.org\/abs\/1409.0386\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems (with Luis Garcia-Naranjo), <em> Archive for Rational Mechanics and Analysis.<\/em> <strong>205(1)<\/strong> (2012), 267-310 <a href=\"http:\/\/arxiv.org\/abs\/1104.0880\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>A unified framework for mechanics: Hamilton-Jacobi equation and applications (with J.C. Marrero, D. Mart\u00edn de Diego, E. Padr\u00f3n), <em> Nonlinearity<\/em> <strong>23<\/strong> (2010), 1887\u20131918 <a href=\"http:\/\/front.math.ucdavis.edu\/1001.0482\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>The ubiquity of the symplectic hamiltonian equations in mechanics (with M. de Le\u00f3n, J. C. Marrero, D. Mart\u00edn de Diego), <em>J. Geom. Mech.<\/em> <strong>1<\/strong> (2009), 1\u201334 <a href=\"http:\/\/front.math.ucdavis.edu\/0811.4295\"> [arXiv]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>On generalized non-holonomic systems (with J. Solomin), <em>Lett. Math. Phys.<\/em> <strong>84<\/strong> (2008), 15\u201330. <a href=\"http:\/\/www.springerlink.com\/content\/j603014p29q8m45q\/\"> [Journal]<\/a><\/li><\/ul>\n\n\n\n<ul class=\"wp-block-list\"><li>Orthogonal projections and the dynamics of constrained mechanical systems (with J. Solomin), <em>Quart. Appl. Math.<\/em> <strong>66<\/strong> (2008), 437\u2013446. <a href=\"http:\/\/www.ams.org\/journals\/qam\/2008-66-03\/S0033-569X-08-01104-1\/\"> [Journal]<\/a><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Preprints Nonholonomic momentum map reduction and a Chaplygin-type foliation (with D. Machado Tereza), Preprint (2024)[Arxiv] Articles published (or to appear) Moment map reduction for nonholonomic systems (with M.E. Garcia, C. Tori, M. Zuccalli), Nonlinearity, 36\u00a05401 (2023) [Arxiv] First integrals and symmetries of nonholonomic systems, (with N. Sansonetto), Archive for Rational Mechanics and Analysis, 244, 343\u2013389, [&hellip;]<\/p>\n","protected":false},"author":114,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-495","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/pages\/495","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/users\/114"}],"replies":[{"embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/comments?post=495"}],"version-history":[{"count":8,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/pages\/495\/revisions"}],"predecessor-version":[{"id":838,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/pages\/495\/revisions\/838"}],"wp:attachment":[{"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/media?parent=495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/categories?post=495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.professores.uff.br\/paulab\/wp-json\/wp\/v2\/tags?post=495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}