{"id":1052,"date":"2024-01-23T18:50:11","date_gmt":"2024-01-23T17:50:11","guid":{"rendered":"https:\/\/www.ub.edu\/dynsys\/?page_id=1052"},"modified":"2024-11-01T20:52:24","modified_gmt":"2024-11-01T19:52:24","slug":"research-lines","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/dynsys\/research-lines\/","title":{"rendered":"Research lines"},"content":{"rendered":"\n<div class=\"wp-block-group is-layout-constrained wp-container-core-group-is-layout-9ecff461 wp-block-group-is-layout-constrained\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-right:10%;padding-bottom:0;padding-left:10%\">\n<p style=\"margin-top:var(--wp--preset--spacing--30);margin-bottom:var(--wp--preset--spacing--30);padding-top:var(--wp--preset--spacing--40);padding-bottom:var(--wp--preset--spacing--40)\">The group&#8217;s current research topics include:<\/p>\n\n\n\n<ul style=\"margin-top:0;margin-right:0;margin-bottom:0;margin-left:0;padding-right:var(--wp--preset--spacing--50);padding-left:var(--wp--preset--spacing--50)\" class=\"wp-block-list\">\n<li>Invariant objects in real and complex dynamical systems (periodic orbits, invariant tori, normally hyperbolic invariant manifolds). <\/li>\n\n\n\n<li>Dynamics of conservative systems, Arnold diffusion, invariant manifolds theory and exponentially small phenomena, homoclinic tangencies and Newhouse phenomena.\u00a0 <\/li>\n\n\n\n<li>Strange attractors.<\/li>\n\n\n\n<li>Celestial Mechanics and astrodynamics. <\/li>\n\n\n\n<li>Connections to symplectic geometry. <\/li>\n\n\n\n<li>Infinite dimensional dynamical systems and evolution PDEs. <\/li>\n\n\n\n<li>Numerical and computational methods for differential equations. <\/li>\n\n\n\n<li>Computer assisted proofs in dynamics. <\/li>\n\n\n\n<li>Real and complex bifurcation theory: Stability and instability locus in parameter spaces.\u00a0 <\/li>\n\n\n\n<li>Rigidity problems in dynamical and parameter spaces. <\/li>\n\n\n\n<li>Numerical methods as dynamical systems.\u00a0 <\/li>\n\n\n\n<li>Quasiperiodically forced maps and nonautonomous dynamics, real and complex. <\/li>\n\n\n\n<li>Wandering domains in holomorphic dynamics. <\/li>\n\n\n\n<li>Fractal geometry of Julia sets. <\/li>\n\n\n\n<li>Applications to chemistry, biology and other sciences.\u00a0<\/li>\n<\/ul>\n\n\n\n<p><br>For more detailed topics in holomorphic dynamics check the <a href=\"https:\/\/www.ub.edu\/dynsys\/holodyn\/\" data-type=\"page\" data-id=\"1487\">HOLODYN<\/a> page. <\/p>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The group&#8217;s current research topics include: For more detailed topics in holomorphic dynamics check the HOLODYN page.<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"full-width-container","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 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