{"id":39,"date":"2023-02-08T12:41:06","date_gmt":"2023-02-08T12:41:06","guid":{"rendered":"https:\/\/www.ub.edu\/dynsys\/?page_id=39"},"modified":"2024-02-22T11:05:41","modified_gmt":"2024-02-22T10:05:41","slug":"haminstab-publications","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/dynsys\/grants\/haminstab\/haminstab-publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p><strong>PUBLICATIONS<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Guardia, Z. Hani, E. Haus, A. Maspero and M. Procesi. &nbsp;<strong>A note on growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation<\/strong>.&nbsp;<em>Rendiconti Lincei \u2013 Matematica e Applicazioni. 30 (2019), pp 865\u2013880<br><\/em><a href=\"https:\/\/www.ems-ph.org\/journals\/journal.php?jrn=rlm\">DOI: 10.4171\/RLM\/873<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2019\/11\/Publication2a.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Guardia, V. Kaloshin and J. Zhang. &nbsp;<strong>Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem.&nbsp;<\/strong><em>Archive for Rational Mechanics and Analysis.&nbsp;&nbsp;233&nbsp;(2019)&nbsp;Issue&nbsp;2,&nbsp;pp 799\u2013836.<\/em><br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/s00205-019-01368-7\">10.1007\/s00205-019-01368-7<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2019\/03\/Springer.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>O.M.L. Gomide, M. Guardia, T-M. Seara.&nbsp;<strong>Critical velocity in kink-defect interaction models: Rigorous results<\/strong>.&nbsp;<em>Journal of Differential Equations (2020)<\/em>.<br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.jde.2020.02.030\">10.1016\/j.jde.2020.02.030<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2021\/01\/Publication3a.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. Feola, F. Giuliani, M. Procesi.<strong>&nbsp;Reducible KAM Tori for the Degasperis-Procesi equation<\/strong>.&nbsp;<em>Commun. Math. Phys. (2020)<\/em>&nbsp;<em>377, 1681\u20131759<\/em>.<br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/s00220-020-03788-z\">10.1007\/s00220-020-03788-z&nbsp;<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2020\/09\/Publication4.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F. Giuliani, M. Guardia, P. Martin, S. Pasquali.&nbsp;<strong>Chaotic-like Transfers of Energy in Hamiltonian PDEs<\/strong>.&nbsp;<em>Commun. Math. Phys. (2021)<\/em><br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1007\/s00220-021-03956-9\">10.1007\/s00220-021-03956-9<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2021\/02\/Publication5.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F. Giuliani, M. Guardia, P. Martin, S. Pasquali,&nbsp;<strong>Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs<\/strong>,&nbsp;<em>Rendiconti Lincei \u2013 Matematica e Applicazioni. 32 (2021), pp 149\u2013165.<br><\/em>DOI:&nbsp;<a href=\"http:\/\/doi.org\/10.4171\/RLM\/931\">1<\/a><a href=\"http:\/\/doi.org\/10.4171\/RLM\/931\">0.4171\/RLM\/931<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2021\/09\/Publication5.2.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F. Giuliani.<strong>&nbsp;Transfers of energy through fast diffusion channels in some resonant PDEs on the circle<\/strong>.&nbsp;<em>Discrete &amp; Continuous Dynamical Systems (2021).<\/em><br>DOI:&nbsp;<a href=\"http:\/\/dx.doi.org\/10.3934\/dcds.2021068\">10.3934\/dcds.2021068<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2021\/04\/Publication6.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Guardia, J. Paradela, T-M. Seara and C. Vidal.&nbsp;<strong>Symbolic Dynamics in the restricted elliptic isosceles three body problem<\/strong>.&nbsp;<em>Journal of Differential Equations (2021)<\/em>.<br>DOI:&nbsp;<a href=\"https:\/\/arxiv.org\/ct?url=https%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jde.2021.05.017&amp;v=bbbea4ac\">10.1016\/j.jde.2021.05.017<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2021\/06\/Publication7a.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. Feola and F. Giuliani,&nbsp;<strong>Quasi Periodic Traveling Waves on an Infinitely Deep Perfect Fluid Under Gravity<\/strong>.&nbsp;<em>Memoirs of the American Mathematical Society (2021).&nbsp;<\/em><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Gallone and S. Pasquali,<strong>&nbsp;Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction<\/strong>.&nbsp;<em>Nonlinearity<\/em>&nbsp;<strong>34<\/strong>&nbsp;4983&nbsp;<em>(2021)<\/em>.<br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1088\/1361-6544\/ac0483\">10.1088\/1361-6544\/ac0483<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2022\/04\/Publication8.Gallone_2021_Nonlinearity_34_4983.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>I.&nbsp;Baldom\u00e1, M.&nbsp;Giralt, and M.&nbsp;Guardia,&nbsp;<strong>Breakdown of homoclinic orbits to L3 in the RPC3BP \u2014 I: Complex singularities and the inner equation.&nbsp;<\/strong>&nbsp;<em>Advances in Mathematics 408(6):108562&nbsp; (2022).&nbsp;<\/em><br>DOI:&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/dx.doi.org\/10.1016\/j.aim.2022.108562\" target=\"_blank\">10.1016\/j.aim.2022.108562<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2022\/07\/2107.09942.pdf\">Download<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. Feola, F. Giuliani,&nbsp;<strong>Time Quasi-Periodic Traveling Gravity Water Waves in Infinite Depth<\/strong>,&nbsp;<em>Rendiconti Lincei \u2013 Matematica e Applicazioni.&nbsp;Vol. 31, No. 4 (2022)&nbsp;pp. 901\u2013916.<br><\/em>DOI:&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.4171\/rlm\/919\" target=\"_blank\">10.4171\/RLM\/919<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. J. Capi\u0144ski, M. Guardia, P. Mart\u00edn, T-M. Seara, P. Zgliczy\u0144ski,<strong>&nbsp;Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem<\/strong>, <em>Journal of Differential Equations (2022)<\/em>.<br>DOI:&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/doi.org\/10.1016\/j.jde.2022.02.056\" target=\"_blank\">10.1016\/j.jde.2022.02.056<\/a><\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>F. Giuliani, M. Guardia,&nbsp;<strong>Sobolev norms explosion for the cubic NLS on irrational tori<\/strong>,&nbsp;<em>Nonlinear Analysis (2022)<\/em>&nbsp;<br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.na.2022.112865\" target=\"_blank\" rel=\"noreferrer noopener\">10.1016\/j.na.2022.112865<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2022\/07\/GiulianiGuardiaNonlinearAnalysis2022.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Download<\/a><br><\/li>\n\n\n\n<li>A. Clarke. <strong>Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space<\/strong>.&nbsp;<em>Discrete and Continuous Dynamical Systems<\/em>, 2022, 42(12): 5839-5868.&nbsp;<br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.3934\/dcds.2022127\" target=\"_blank\" rel=\"noreferrer noopener\">10.3934\/dcds.2022127<\/a>&nbsp;<br><\/li>\n\n\n\n<li>A. Clarke, J. Fejoz, M. Guardia,<strong>&nbsp;Topological Shadowing Methods in Arnold Diffusion: Weak Torsion and Multiple Time Scales, <\/strong><em>Nonlinearity 36 426 (2023).<\/em><br>DOI:&nbsp;<a href=\"https:\/\/doi.org\/10.1088\/1361-6544\/aca5df.\">10.1088\/1361-6544\/aca5df<\/a><br><a href=\"https:\/\/haminstab.barcelonatech-upc.eu\/wp-content\/uploads\/2022\/05\/Preprint18.pdf\">Download<\/a><br><\/li>\n\n\n\n<li>I. Baldom\u00e1, M.J. Capi\u0144ski, M. Guardia, T-M. Seara, <strong>Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant<\/strong>. <em>Journal of Nonlinear Science<\/em>, 33, 28 (2023) <br>DOI: <a href=\"https:\/\/doi.org\/10.1007\/s00332-022-09882-x\">10.1007\/s00332-022-09882-x<\/a><br><a href=\"https:\/\/arxiv.org\/pdf\/2206.13840.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Download<\/a><br><\/li>\n\n\n\n<li>M. Guardia, Z. Hani, E. Haus, A. Maspero, M. Procesi, <strong>Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation<\/strong>. <em>J. Eur. Math. Soc. (JEMS) 25 (2023), no. 4, 1497\u20131551.<\/em><br>DOI: <a href=\"http:\/\/doi.org\/10.4171\/JEMS\/1200\">10.4171\/JEMS\/1200<\/a><br><a href=\"https:\/\/arxiv.org\/abs\/1810.03694\">Download<\/a><br><\/li>\n\n\n\n<li>A. Clarke, D. Turaev, <strong>Arnold diffusion in multidimensional convex billiards<\/strong>.<em> Duke Math. J.\u00a0<\/em>172(10)\u00a01813 &#8211; 1878,\u00a015 July 2023.\u00a0<br>DOI: <a href=\"https:\/\/doi.org\/10.1215\/00127094-2022-0073\">10.1215\/00127094-2022-0073<\/a><br><\/li>\n\n\n\n<li>I.\u00a0Baldom\u00e1, M.\u00a0Giralt, M.\u00a0Guardia,\u00a0<strong>Breakdown of homoclinic orbits to L3 in the RPC3BP \u2014 II: An asymptotic formula<\/strong>,<em>\u00a0<a href=\"https:\/\/www.sciencedirect.com\/journal\/advances-in-mathematics\">Advances in Mathematics<\/a>, <a href=\"https:\/\/www.sciencedirect.com\/journal\/advances-in-mathematics\/vol\/430\/suppl\/C\">Volume 430<\/a><\/em>,\u00a01 October 2023, 109218<br>DOI: <a href=\"https:\/\/doi.org\/10.1016\/j.aim.2023.109218\">10.1016\/j.aim.2023.109218<\/a><br><\/li>\n\n\n\n<li>F. Giuliani, M. Guardia,\u00a0<strong>Arnold diffusion in Hamiltonian systems on infinite lattices<\/strong>,\u00a0<em>Wiley Online Publications<\/em>, 21 November 2023<br>DOI: <a href=\"https:\/\/doi.org\/10.1002\/cpa.22191\">10.1002\/cpa.22191<\/a> \/ <a href=\"https:\/\/arxiv.org\/abs\/2204.10602v1\">arXiv:2204.10602v1<\/a><br><\/li>\n\n\n\n<li>P. Baldi, F. Giuliani, M. Guardia, E. Haus, <strong>Effective chaos for the Kirchhoff equation on tori. <\/strong><em>Ann. Inst. H. Poincar\u00e9 Anal. Non Lin\u00e9aire<\/em>, pp. 1\u201350, 1 February 2024.<br>DOI: <a href=\"https:\/\/doi.org\/10.4171\/aihpc\/110\">10.4171\/AIHPC\/110<\/a> \/ <a href=\"https:\/\/arxiv.org\/abs\/2303.00688\">arXiv:2303.00688<\/a><br><\/li>\n\n\n\n<li>A. Clarke, J. Fejoz, M. Guardia, <strong>A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes<\/strong>. <em>Archive for Rational Mechanics and Analysis<\/em>. February 2024.<br>DOI: <a href=\"https:\/\/trebuchet.public.springernature.app\/get_content\/2f5b0ea7-5219-45b4-aab4-2d29a581dd46?utm_source=rct_congratemailt&amp;utm_medium=email&amp;utm_campaign=nonoa_20240221&amp;utm_content=10.1007\/s00205-024-01960-6\">10.1007\/s00205-024-01960-6<\/a><br><br><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>PREPRINTS<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>O. M. L. Gomide, M. Guardia, T. M. Seara and C. Zeng,&nbsp;<strong>On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting<\/strong>,&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/2107.14566\">arXiv:2107.14566<\/a>, preprint July 2021.<br><\/li>\n\n\n\n<li>M. Guardia, P. Mart\u00edn, J. Paradela, T. M. Seara, <strong>Hyperbolic dynamics and oscillatory motions in the 3 Body Problem.<\/strong> <a href=\"https:\/\/arxiv.org\/abs\/2207.14351\">arXiv:2207.14351<\/a><br><\/li>\n\n\n\n<li>A. Clarke, J. Fejoz, M. Guardia, <strong>Why are inner planets not inclined?<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2210.11311\">arXiv:2210.11311<\/a>, preprint October 2022. <br><\/li>\n\n\n\n<li>J. Paradela, S. Terracini, <strong>Oscillatory Motions in the Restricted 3-body Problem: A functional analytic approach<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2212.05684\">arXiv:2212.05684<\/a>, preprint December 2022.<br><\/li>\n\n\n\n<li>M. Guardia, J. Paradela, T.M. Seara. <strong>A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2302.06973\">arXiv:2302.06973<\/a>, preprint February 2023.  <br><\/li>\n\n\n\n<li>A. Clarke, <strong>Geodesics With Unbounded Speed on Fluctuating Surfaces<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2304.13566\">arXiv:2304.13566<\/a>, preprint April 2023. <br><\/li>\n\n\n\n<li>I. Baldom\u00e1, M. J. Capi\u0144ski, M. Giralt, M. Guardia, <strong>Breakdown of homoclinic orbits to L3: Nonvanishing of the Stokes constant<\/strong>. <a href=\"arXiv:2312.13138\">arXiv:2312.13138<\/a>, preprint December 2023. <br><\/li>\n\n\n\n<li>I. Baldom\u00e1, M. Giralt, M. Guardia, <strong>Coorbital homoclinic and chaotic dynamics in the Restricted 3-Body Problem<\/strong>. <a href=\"https:\/\/arxiv.org\/abs\/2312.13819\">arXiv:2312.13819<\/a> preprint December 2023. <br><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>PUBLICATIONS PREPRINTS<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":136,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-39","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/39","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/comments?post=39"}],"version-history":[{"count":19,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/39\/revisions"}],"predecessor-version":[{"id":1187,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/39\/revisions\/1187"}],"up":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/136"}],"wp:attachment":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/media?parent=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}