<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-13T05:00:29Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2117/113420" metadataPrefix="mets">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2117/113420</identifier><datestamp>2026-01-21T06:21:56Z</datestamp><setSpec>com_2072_1033</setSpec><setSpec>col_2072_452950</setSpec></header><metadata><mets xmlns="http://www.loc.gov/METS/" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" ID="&#xa;&#x9;&#x9;&#x9;&#x9;DSpace_ITEM_2117-113420" TYPE="DSpace ITEM" PROFILE="DSpace METS SIP Profile 1.0" xsi:schemaLocation="http://www.loc.gov/METS/ http://www.loc.gov/standards/mets/mets.xsd" OBJID="&#xa;&#x9;&#x9;&#x9;&#x9;hdl:2117/113420">
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                  <mods:namePart>Delshams Valdés, Amadeu</mods:namePart>
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               <mods:name>
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                  <mods:namePart>Simon, Adriá</mods:namePart>
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               <mods:name>
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                  <mods:namePart>Zgliczynski, Piotr</mods:namePart>
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               <mods:originInfo>
                  <mods:dateIssued encoding="iso8601">2017-12-01</mods:dateIssued>
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               <mods:abstract>© 2017 Elsevier Inc. We present a new result about the shadowing of non-transversal chain of heteroclinic connections based on the idea of dropping dimensions. We illustrate this new mechanism with several examples. As an application we discuss this mechanism in a simplification of a toy model system derived by Colliander et al. in the context of cubic defocusing nonlinear Schrödinger equation.Peer ReviewedPostprint (author's final draft)</mods:abstract>
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               <mods:subject>
                  <mods:topic>Àrees temàtiques de la UPC::Matemàtiques i estadística</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Schrödinger equation</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Differential equations</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Covering relations</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>heteroclinic chain</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>non-transversal intersection</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>s&#xd;
hadowing</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Equacions diferencials ordinàries</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Schrödinger, Equació de</mods:topic>
               </mods:subject>
               <mods:subject>
                  <mods:topic>Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems</mods:topic>
               </mods:subject>
               <mods:titleInfo>
                  <mods:title>Shadowing of non-transversal heteroclinic chains</mods:title>
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