{"id":1588,"date":"2024-03-17T10:51:03","date_gmt":"2024-03-17T09:51:03","guid":{"rendered":"https:\/\/www.ub.edu\/dynsys\/?page_id=1588"},"modified":"2025-08-06T13:22:36","modified_gmt":"2025-08-06T12:22:36","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/research\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-horizontal is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-buttons-is-layout-646edd19 wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">HOME<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/brief-curriculum\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">TRAJECTORY<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/research\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">RESEARCH<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/teaching\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-bottom:0\">tEACHING<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-width wp-block-button__width-25 is-style-fill\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.ub.edu\/dynsys\/xavier-jarque-i-ribera\/catalonia\/\" style=\"border-style:none;border-width:0px;border-radius:0px;padding-top:0;padding-right:var(--wp--preset--spacing--40);padding-bottom:0;padding-left:var(--wp--preset--spacing--40)\">CATALONIA<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-ast-global-color-6-color has-text-color has-link-color wp-elements-621b8600d320b79cdcaa9cf3fba0d601\" style=\"font-style:normal;font-weight:300\">PREPRINTS and PUBLICATIONS<\/h2>\n\n\n\n<div class=\"wp-block-cover is-light\" style=\"padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;min-height:251px;aspect-ratio:unset;\"><img loading=\"lazy\" decoding=\"async\" width=\"3000\" height=\"3000\" class=\"wp-block-cover__image-background wp-image-2114\" alt=\"\" src=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant.png\" style=\"object-position:12% 37%\" data-object-fit=\"cover\" data-object-position=\"12% 37%\" srcset=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant.png 3000w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-300x300.png 300w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-1024x1024.png 1024w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-150x150.png 150w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-768x768.png 768w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-1536x1536.png 1536w, https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/04\/secant-2048x2048.png 2048w\" sizes=\"auto, (max-width: 3000px) 100vw, 3000px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-0 has-background-dim\" style=\"background-color:#76a09e\"><\/span><div class=\"wp-block-cover__inner-container is-layout-constrained wp-container-core-cover-is-layout-e79b5b98 wp-block-cover-is-layout-constrained\">\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px\"><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><em>I am still working on this page. At some point I would like to add a link to an open access version of each paper (repository)<\/em><em> listed below. Meanwhile, please, send me an email if you are interested in any of the articles.<\/em><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" style=\"margin-top:0;margin-right:0;margin-bottom:0;margin-left:0;padding-right:50px;padding-left:50px\">Preprints<\/h4>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>J. Canela, A. Garijo and X. Jarque. Boundedness and simple connectivity of the basins of attraction for some numerical methods, <a href=\"https:\/\/arxiv.org\/abs\/2507.22704\">arXiv:2507.22704<\/a>.<\/li>\n<\/ul>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" style=\"margin-right:0px;margin-left:0px;padding-right:50px;padding-left:50px\">Articles (published or accepted)<\/h4>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20)\">\n<ol style=\"padding-right:20px;padding-left:20px\" class=\"wp-block-list has-ast-global-color-6-color has-text-color has-link-color wp-elements-586505daf6ac21eaaa5752de55b60117\">\n<li>E. Fontich, A. Garijo and X. Jarque. On the basin of attraction of a critical three-cycle of a model for the secant map. Discrete and Continuous Dynamical Systems, 45(4), 1045-1078, 2025. <a href=\"https:\/\/doi.org\/10.3934\/dcds.2024122\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.3934\/dcds.2024122\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Local connectivity of boundaries of tame Fatou components of meromorphic functions, Mathematische Annalen 391(2), 1779-1843, 2025 <a href=\"https:\/\/doi.org\/10.1007\/s00208-024-02957-y\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.1007\/s00208-024-02957-y\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a> <a href=\"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00208-024-02957-y.pdf\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>E. Fontich, A. Garijo i X. Jarque. Chaotic dynamics at the boundary of a basin of attraction via non-transversal intersections for a non-global smooth diffeomorphism, J. Nonlinear Sci. 34, 102 (2024). <a href=\"https:\/\/doi.org\/10.1007\/s00332-024-10079-7\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a> <a href=\"https:\/\/www.ub.edu\/dynsys\/wp-content\/uploads\/2024\/09\/Fontich_et_al-2024-Journal_of_Nonlinear_Science.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>J. Canela, V. Evdoridou, A. Garijo, X. Jarque. On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub, Math. Z., 303(55), 1-22, 2023. <a href=\"https:\/\/doi.org\/10.1007\/s00209-023-03215-8\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque. Dynamics of the secand map near infinity. J. Difference Equ. Appl., 28(10), 1334-1347, 2023. <a href=\"https:\/\/doi.org\/10.1080\/10236198.2022.2044476\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>J. Canela, X. Jarque, D. A. Paraschiv. Achievable connectivities of Fatou components for a family of singular perturbations. Discrete Contin. Dyn. Syst., 42(9), 4237-4261, 2022. <a href=\"http:\/\/10.3934\/dcds.2022051\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>L. Gardini, A. Garijo, X. Jarque. Topological properties of the immediate basins of attraction for the secant method. Mediterranean J. Math., 18, 221:1-27, 2021. <a href=\"https:\/\/doi.org\/10.1007\/s00009-021-01845-y\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Fatou components and singularities of meromorphic functions. Proc. Roy. Soc. Edinburgh Sect. A, 150, 633-654, 2020. <a href=\"https:\/\/doi.org\/10.1017\/prm.2018.142\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque. The secant map applied to a real polynomial with multiple roots. Discrete Contin. Dyn. Syst., 40(12), 6783-6794, 2020. <a href=\"https:\/\/doi.org\/10.3934\/dcds.2020133\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Escaping points in the boundaries of Baker domains. J. Anal. Math., 137(2), 679-706, 2019. <a href=\"https:\/\/doi.org\/10.1007\/s11854-019-0011-0\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>V. Evdoridou, N. Fagella, X. Jarque, D. J. Sixsmith. Singularities of inner functions associated with hyperbolic maps. J. Math. Anal. Appl., 477, 536-550, 2019. <a href=\"https:\/\/doi.org\/10.1016\/j.jmaa.2019.04.045\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>N. Fagella, X. Jarque, K. Lazebnik. Univalent wandering domains in the Eremenko-Lyubich class. J. Anal. Math., 2019. <a href=\"https:\/\/doi.org\/10.1007\/s11854-027-0079-x\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque. Global dynamics of the real secant method. Nonlinearity, 32(11), 4557-4578, 2019. <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/ab2f55\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Connectivity of Julia sets of Newton maps: a unified approach. Rev. Mat. Iberoam., 34(3), 1211-1228, 2018. <a href=\"https:\/\/doi.org\/10.4171\/rmi\/1022\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Accesses to infinity from Fatou components. Trans. Amer. Math. Soc., 369(3), 1835-1867, 2017. <a href=\"http:\/\/dx.doi.org\/10.1090\/tran\/6739\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque, J. Villadelprat. An effective algorithm to compute Mandelbrot sets in parameter planes. Numer. Algor., 76, 555-571, 2017. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11075-017-0270-8\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>B. Campos, A. Garijo, X. Jarque, P. Vindel. Newton&#8217;s method for symmetric quartic polynomials. Appl. Math. Comput., 290, 326-335, 2016. <a href=\"http:\/\/dx.doi.org\/10.1016\/j.amc.2016.06.021\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. Absorbing sets and baker domains for holomorphic maps. J. London Math. Soc. (2), 92(1), 144-162, 2015. <a href=\"https:\/\/doi.org\/10.1112\/jlms\/jdv016\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>N. Fagella, S. Godillon, X. Jarque. Wandering domains for composition of entire functions. J. Math. Anal. Appl., 429, 478-496, 2015. <a href=\"https:\/\/doi.org\/10.1016\/j.jmaa.2015.04.020\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, N. Fagella, X. Jarque, B. Karpinska. On the connectivity of Julia sets of meromorphic functions. Invent. Math., 198(3), 591-636, 2014. <a href=\"http:\/\/dx.doi.org\/10.1007\/s00222-014-0504-5\" target=\"_blank\" rel=\"noreferrer noopener\">DOI<\/a><\/li>\n\n\n\n<li>B. Campos, A. Garijo, X. Jarque, P. Vindel. Newton&#8217;s method on Bring-Jerrard polynomials. Publ. Mat., Extra, 81-109, 2014. <a href=\"http:\/\/dx.doi.org\/10.5565\/PUBLMAT_Extra14_05\" target=\"_blank\" rel=\"noreferrer noopener\">DOI<\/a><\/li>\n\n\n\n<li>R. L. Devaney, N. Fagella, A. Garijo, X. Jarque. Sierpinski curve Julia sets for quadratic rational maps. Ann. Acad. Sci. Fenn. Math., 39, 3-22, 2014. <a href=\"https:\/\/doi.org\/10.5186\/aasfm.2014.3903\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>K. Baranski, X. Jarque, L. Rempe. Brushing the hairs of transcendental entire functions. Topology Appl., 159(8), 2102-2114, 2012. <a href=\"https:\/\/doi.org\/10.1016\/j.topol.2012.02.004\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>F. Cilingir, X. Jarque. On Newton\u2019s method applied to real polynomials. J. Difference Equ. Appl., 18(6), 1067-1076, 2012. <a href=\"https:\/\/doi.org\/10.1080\/10236198.2010.547493\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>M. J. \u00c1lvarez, A. Ferragut, X. Jarque. A survey on the blow up technique. Internat. J. Bifur. Chaos Appl. Sci. Eng., 21(11), 3103-3118, 2011. <a href=\"http:\/\/dx.doi.org\/10.1142\/S0218127411030416\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>N. Fagella, X. Jarque, J. Taix\u00e9s. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II. Fund. Math., 215, 177-202, 2011. <a href=\"http:\/\/10.4064\/fm215-2-5\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque, M. Moreno-Rocha. Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps. Fund. Math., 214, 135-160, 2011. <a href=\"http:\/\/10.4064\/fm214-2-3\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque. On the connectivity of the escaping set for complex exponential misiurewicz parameters. Proc. Amer. Math. Soc., 139(6), 2057-2065, 2011. <a href=\"https:\/\/doi.org\/10.1090\/S0002-9939-2010-10611-1\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, A. Gasull, X. Jarque. A note on the period function for certain planar vector fields. J. Difference Equ. Appl., 16(5-6), 631-645, 2010. <a href=\"https:\/\/doi.org\/10.1080\/10236190903241689\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, X. Jarque, M. Moreno-Rocha. Joining polynomial and exponential combinatorics for some entire maps. Publ. Mat., 54, 113-136, 2010. <a href=\"http:\/\/dx.doi.org\/10.5565\/PUBLMAT_54110_06\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>N. Fagella, X. Jarque, J. Taix\u00e9s. On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points I. Proc. Lond. Math. Soc. (3), 97(3), 599-622, 2008. <a href=\"http:\/\/dx.doi.org\/10.1112\/plms\/pdn012\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, A. Gasull, X. Jarque. Simultaneous bifurcation of limit cycles from two nests of periodic orbits. J. Math. Anal. Appl., 341, 813-824, 2008. <a href=\"http:\/\/dx.doi.org\/10.1016\/j.jmaa.2007.09.076\" target=\"_blank\" rel=\"noreferrer noopener\">DOI<\/a><\/li>\n\n\n\n<li>X. Jarque, J. Llibre, D. S. Shafer. Structurally stable quadratic foliations. Rocky Mountain J. Math., 38(2), 489-530, 2008. <a href=\"http:\/\/dx.doi.org\/10.1216\/RMJ-2008-38-2-489\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>M. A. Frutos, X. Jarque. Auctions with asymmetric common-values: the first-price format. J. Math. Econ., 43(07\/08\/09), 795-817, 2007. <a href=\"https:\/\/doi.org\/10.1016\/j.jmateco.2006.03.008\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, A. Gasull, X. Jarque. Local and global phase portrait of equation z\u2032=f(z). Discrete Contin. Dyn. Syst., 17(2), 309-329, 2007. <a href=\"https:\/\/doi.org\/10.3934\/dcds.2007.17.309\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>C. Gutierrez, X. Jarque, J. Llibre, M. A. Teixeira. Global injectivity of C^1 maps of the real plane, inseparable leaves and the Palais-Smale condition. Canad. Math. Bull., 50(3), 377-389, 2007. <a href=\"https:\/\/doi.org\/10.4153\/CMB-2007-036-0\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>J. Caballe, X. Jarque, E. Michetti. Chaotic dynamics in credit constrained emerging economies. J. Econom. Dynam. Control, 30, 1261-1275, 2006. <a href=\"https:\/\/doi.org\/10.1016\/j.jedc.2005.05.004\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, A. Gasull, X. Jarque. On the period function for a family of complex differential equations. J. Differential Equations, 224(2), 314-331, 2006. <a href=\"https:\/\/doi.org\/10.1016\/j.jde.2005.07.021\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>R. L. Devaney, X. Jarque, M. Moreno-Rocha. Indecomposable continua and misiurewicz points in exponential dynamics. Internat. J. Bifur. Chaos Appl. Sci. Eng., 15(10), 3281-3294, 2005. <a href=\"http:\/\/dx.doi.org\/10.1142\/S0218127405013885\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, J. Llibre, D. S. Shafer. Structural stability of planar polynomial foliations. J. Dyn. Diff. Equat., 17(3), 573-587, 2005. <a href=\"http:\/\/dx.doi.org\/10.1007\/s10884-005-5812-4\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Garijo, A. Gasull, X. Jarque. Normal forms for singularities of one dimensional holomorphic vector fields. Electron. J. Differential Equations, 2004(122), 1-7, 2004. <a href=\"https:\/\/ejde.math.txstate.edu\/Volumes\/2004\/122\/garijo.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:var(--ast-global-color-5)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, C. Ponsati, J. Sakovics. Mediation: incomplete information bargaining with filtered communication. J. Math. Econ., 39(7), 803-830, 2003. <a href=\"https:\/\/doi.org\/10.1016\/S0304-4068(03)00048-X\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>M. A. Frutos, H. Hamoudi, X. Jarque. Spatial competition with concave transport costs. Reg. Sci. Urban Eco., 32(4), 531-540, 2002. <a href=\"http:\/\/dx.doi.org\/10.1016\/S0166-0462(01)00094-1\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>R. L. Devaney, N. Fagella, X. Jarque. Hyperbolic components of the complex exponential family. Fund. Math., 174(3), 193-215, 2002. <a href=\"https:\/\/www.impan.pl\/download\/pdf\/fm174-3-1\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>R. L. Devaney, X. Jarque. Indecomposable continua in exponential dynamics. Conform. Geom. Dyn., 6, 1-12, 2002. <a href=\"https:\/\/www.ams.org\/journals\/ecgd\/2002-06-01\/S1088-4173-02-00080-2\/S1088-4173-02-00080-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, J. Villadelprat. On the period function of centers in planar polynomial Hamiltonian systems of degree four. Qual. Theory Dyn. Syst., 3(1), 157-180, 2002. <a href=\"http:\/\/dx.doi.org\/10.1007\/BF02969337\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, J. Villadelprat. Nonexistence of isochronous centers in planar polynomial Hamiltonian systems of degree four. J. Differential Equations, 180(2), 334-373, 2002. <a href=\"https:\/\/doi.org\/10.1006\/jdeq.2001.4065\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a> <\/li>\n\n\n\n<li>X. Jarque, J. Llibre. Polynomial foliations in R^2. Pacific J. Math., 197(1), 53-72, 2001. <a href=\"https:\/\/msp.org\/pjm\/2001\/197-1\/pjm-v197-n1-p05-s.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">PDF<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, Z. Nitecki. Hamiltonian stability in the plane. Ergodic Theory Dynam. Systems, 20(3), 775-799, 2000. <a href=\"https:\/\/doi.org\/10.1017\/S0143385700000419\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>M. A. Frutos, H. Hamoudi, X. Jarque. Equilibrium existence in the circle model with linear quadratic transport cost. Reg. Sci. Urban Eco., 29, 605-615, 1999. <a href=\"https:\/\/doi.org\/10.1016\/S0166-0462(99)00014-9\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a> <\/li>\n\n\n\n<li>R. L. Devaney, X. Jarque. Misiurewicz points for complex exponentials. Internat. J. Bifur. Chaos Appl. Sci. Engrg., 7(7), 1599-1615, 1997. <a href=\"https:\/\/doi.org\/10.1142\/S0218127497001242\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>A. Guillamon, X. Jarque, J. Llibre, J. Ortega, J. Torregrosa. Periods for transversal maps via Lefschetz numbers for periodic points. Trans. Amer. Math. Soc., 347(12), 4779-4806, 1995. <a href=\"http:\/\/dx.doi.org\/10.1090\/S0002-9947-1995-1321576-9\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, J. Llibre. Structural stability of planar Hamiltonian polynomial vector fields. Proc. Lond. Math. Soc. (3), 68(3), 617-640, 1994. <a href=\"https:\/\/doi.org\/10.1112\/plms\/s3-68.3.617\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">DOI<\/mark><\/a><\/li>\n<\/ol>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\" style=\"padding-right:50px;padding-left:50px\">Book(s)<\/h4>\n\n\n\n<ol style=\"padding-right:20px;padding-left:20px\" class=\"wp-block-list has-ast-global-color-6-color has-text-color has-link-color wp-elements-519add89de69f6e34e75f496285168ea\">\n<li>N. Fagella, X. Jarque. Iteraci\u00f3n compleja y fractales. Vicens Vives y ICE-UAB, 2007 (in spanish).<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\" style=\"padding-right:50px;padding-left:50px\">Others (proceedings, thesis, etc)<\/h4>\n\n\n\n<ol style=\"padding-right:20px;padding-left:20px\" class=\"wp-block-list has-ast-global-color-6-color has-text-color has-link-color wp-elements-e310469bf35f5b61b61ec96345044ac9\">\n<li>X. Jarque. Planar vector fields: Hamiltonian systems, polynomial foliations and structural stability. PhD thesis, Universitat Aut\u00f2noma de Barcelona, 1995. <a href=\"\/\/\/Users\/xjarque\/Downloads\/Jar1995-abstract-2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\">ABSTRACT<\/mark><\/a><\/li>\n\n\n\n<li>X. Jarque, J. Llibre. Global structural stability of planar Hamiltonian vector fields. In Hamiltonian dynamical systems (Cincinnati, OH, 1992), 171-180. Springer, New York, 1995.<\/li>\n\n\n\n<li>X. Jarque. Structural stability of vector fields in dimension two. Masters thesis, Universitat Aut\u00f2noma de Barcelona, 1992.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>PREPRINTS and PUBLICATIONS I am still working on this page. At some point I would like to add a link to an open access version of each paper (repository) listed below. Meanwhile, please, send me an email if you are interested in any of the articles. Preprints Articles (published or accepted) Book(s) Others (proceedings, thesis, [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":1376,"menu_order":0,"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":"disabled","ast-banner-title-visibility":"disabled","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"disabled","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-1588","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1588","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\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/comments?post=1588"}],"version-history":[{"count":63,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1588\/revisions"}],"predecessor-version":[{"id":3312,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1588\/revisions\/3312"}],"up":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/pages\/1376"}],"wp:attachment":[{"href":"https:\/\/www.ub.edu\/dynsys\/wp-json\/wp\/v2\/media?parent=1588"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}