{"id":17,"date":"2011-01-06T02:50:29","date_gmt":"2011-01-06T02:50:29","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/jpaezchavez\/sacasc\/"},"modified":"2025-11-05T22:16:15","modified_gmt":"2025-11-05T22:16:15","slug":"cadscom","status":"publish","type":"page","link":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/cadscom\/","title":{"rendered":"Research"},"content":{"rendered":"<p>&nbsp;<br \/>\n<img decoding=\"async\" class=\"aligncenter size-medium wp-image-6\" src=\"http:\/\/blog.espol.edu.ec\/jpaezchavez\/files\/2017\/02\/CADSCOM.png\" style=\"float:center;margin: 0px 0px 0px 218px;cursor:pointer;cursor:hand;border:0\" width=\"170\" alt=\"\" \/>\n<\/li>\n<div style=\"height:7px\"><\/div>\n<h2>\n<p style=\"text-align:center\">Center for Applied Dynamical Systems and Computational Methods<\/p>\n<\/h2>\n<\/li>\n<div style=\"height:7px\"><\/div>\n<p style=\"line-height:1.5\">\nCADSCOM is a joint research center of the three scientific departments: Mathematics, Physics and Chemistry at the Escuela Superior Polit\u00e9cnica del Litoral (ESPOL), Guayaquil, Ecuador. The research center brings together scientists of various fields with a strong focus on nonlinear dynamical phenomena observed in real-world applications. Research activities are conducted at the interface between theoretical, computational and experimental approaches to address problems arising in science and engineering.\n<\/p>\n<div style=\"height:14px\"><\/div>\n<p>Topics of interest include:<\/p>\n<ul>\n<li>Mathematical modelling and experimental study of real-world problems. <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Bifurcations in smooth and nonsmooth differential equations. <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Numerical methods and computational tools for dynamical systems. <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Nonlinear oscillations in mechanics, chemistry, biology, electronics. <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Modelling and control of plant and infectious diseases.<\/li>\n<div style=\"height:7px\"><\/div>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-medium wp-image-6\" src=\"http:\/\/blog.espol.edu.ec\/jpaezchavez\/files\/2017\/02\/fig1.png\" style=\"float:center;margin: 0px 0px 0px 0px;cursor:pointer;cursor:hand;border:0\" width=\"540\" alt=\"\" \/><\/p>\n<p>A list of selected publications is given below:<\/p>\n<ul>\n<li>P\u00e1ez Ch\u00e1vez, J.; Zhang, Z.; Liu, Y. A Numerical Approach for the Bifurcation Analysis of Nonsmooth Delay Equations. Communications in Nonlinear Science and Numerical Simulation, 2020 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1016\/j.cnsns.2019.105095\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>). <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Liu, Y.; P\u00e1ez Ch\u00e1vez, J.; Pavlovskaia, E.; Wiercigroch, M. Analysis and Control of the Dynamical Response of a Higher Order Drifting Oscillator. Proceedings of The Royal Society of London Series A, 2018 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1098\/rspa.2017.0500\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>P\u00e1ez Ch\u00e1vez, J.; Schreiter, J.; Siegmund, S.; Mayr, C. A Continuation Approach for Computing Parameter-Dependent Separatrices in SRAM Cells. Applied Mathematical Modelling, 2018 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1016\/j.apm.2018.07.003\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>). <\/li>\n<div style=\"height:7px\"><\/div>\n<li>P\u00e1ez Ch\u00e1vez, J.; G\u00f6tz, T.; Siegmund, S.; Wijaya, K. P. An SIR-Dengue Transmission Model with Seasonal Effects and Impulsive Control. Mathematical Biosciences, 2017 (<span style=\"color: #0000ff\"><a href=\"http:\/\/doi.org\/10.1016\/j.mbs.2017.04.005\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Liu, Y.; P\u00e1ez Ch\u00e1vez, J. Controlling Multistability in a Vibro-Impact Capsule System. Nonlinear Dynamics, 2017 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1007\/s11071-016-3310-3\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>P\u00e1ez Ch\u00e1vez, J.; Voigt, A.; Schreiter, J.; Marschner, U.; Siegmund, S.; Richter, A. A New Self-Excited Chemo-Fluidic Oscillator Based on Stimuli-Responsive Hydrogels: Mathematical Modeling and Dynamic Behavior. Applied Mathematical Modelling, 2016 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1016\/j.apm.2016.06.038\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>). <\/li>\n<div style=\"height:7px\"><\/div>\n<li>Kapitaniak, M.; Vaziri Hamaneh, V.; P\u00e1ez Ch\u00e1vez, J.; Nandakumar, K.; Wiercigroch, M. Unveiling Complexity of Drill-String Vibrations: Experiments and Modelling. International Journal of Mechanical Sciences, 2015 (<span style=\"color: #0000ff\"><a href=\"http:\/\/dx.doi.org\/10.1016\/j.ijmecsci.2015.07.008\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>). <\/li>\n<div style=\"height:7px\"><\/div>\n<\/ul>\n<p>External collaborators:<\/p>\n<ul>\n<li>Prof. Dipo Aldila, Department of Mathematics, Faculty of Mathematics and<br \/>\nNatural Sciences, Universitas Indonesia, Depok, Indonesia (<span style=\"color: #0000ff\"><a href=\"https:\/\/scholar.ui.ac.id\/en\/persons\/dipo-aldila\/\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Yang Liu, College of Engineering Mathematics and Physical Sciences, University of Exeter, Exeter, United Kingdom (<span style=\"color: #0000ff\"><a href=\"https:\/\/experts.exeter.ac.uk\/25687-yang-liu\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Thomas G\u00f6tz, Mathematical Institute, University of Koblenz, Koblenz, Germany (<span style=\"color: #0000ff\"><a href=\"https:\/\/www.uni-koblenz.de\/de\/mathematik-naturwissenschaften\/mathe\/personen\/personenverzeichnis\/goetz\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Ekaterina Pavlovskaia, Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen, United Kingdom (<span style=\"color: #0000ff\"><a href=\"https:\/\/www.abdn.ac.uk\/engineering\/people\/profiles\/e.pavlovskaia\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Carla Pinto, Center of Mathematics, University of Porto, Porto, Portugal (<span style=\"color: #0000ff\"><a href=\"http:\/\/www.cmup.pt\/user\/563\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Andreas Richter, Chair of Polymeric Microsystems, TU Dresden, Dresden, Germany (<span style=\"color: #0000ff\"><a href=\"http:\/\/tu-dresden.de\/ing\/elektrotechnik\/ihm\/ms\/die-professur\/inhaber-in\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Stefan Siegmund, Center for Dynamics, Department of Mathematics, TU Dresden, Dresden, Germany (<span style=\"color: #0000ff\"><a href=\"http:\/\/tu-dresden.de\/mn\/math\/analysis\/siegmund\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<li>Prof. Marian Wiercigroch, Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen, United Kingdom (<span style=\"color: #0000ff\"><a href=\"https:\/\/www.abdn.ac.uk\/engineering\/people\/profiles\/m.wiercigroch\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).<\/li>\n<div style=\"height:7px\"><\/div>\n<\/ul>\n<p style=\"line-height:1.5\">\nFor enquiries about research collaboration and opportunities for graduate and undergraduate students, contact us at this (<span style=\"color: #0000ff\"><a href=\"http:\/\/blog.espol.edu.ec\/jpaezchavez\"><span style=\"color: #0000ff\">Link<\/span><\/a><\/span>).\n<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-medium wp-image-6\" src=\"http:\/\/blog.espol.edu.ec\/jpaezchavez\/files\/2017\/02\/fig2-min.jpg\" style=\"float:center;margin: 0px 0px 0px 0px;cursor:pointer;cursor:hand;border:0\" width=\"700\" alt=\"\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Center for Applied Dynamical Systems and Computational Methods CADSCOM is a joint research center of the three scientific departments: Mathematics, Physics and Chemistry at the Escuela Superior Polit\u00e9cnica del Litoral (ESPOL), Guayaquil, Ecuador. The research center brings together scientists &hellip; <a href=\"https:\/\/blog.espol.edu.ec\/jpaezchavez\/cadscom\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":5591,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-17","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/pages\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/users\/5591"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/comments?post=17"}],"version-history":[{"count":135,"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/pages\/17\/revisions"}],"predecessor-version":[{"id":1501,"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/pages\/17\/revisions\/1501"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/jpaezchavez\/wp-json\/wp\/v2\/media?parent=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}