{"publication":"SIAM Journal on Applied Dynamical Systems","date_updated":"2022-09-07T08:36:03Z","type":"journal_article","language":[{"iso":"eng"}],"citation":{"short":"E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.","chicago":"Nijholt, Eddie, Bob W. Rink, and Sören Schwenker. “Quiver Representations and Dimension Reduction in Dynamical Systems.” <i>SIAM Journal on Applied Dynamical Systems</i> 19, no. 4 (2020): 2428–68. <a href=\"https://doi.org/10.1137/20m1345670\">https://doi.org/10.1137/20m1345670</a>.","bibtex":"@article{Nijholt_Rink_Schwenker_2020, title={Quiver Representations and Dimension Reduction in Dynamical Systems}, volume={19}, DOI={<a href=\"https://doi.org/10.1137/20m1345670\">10.1137/20m1345670</a>}, number={4}, journal={SIAM Journal on Applied Dynamical Systems}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Nijholt, Eddie and Rink, Bob W. and Schwenker, Sören}, year={2020}, pages={2428–2468} }","apa":"Nijholt, E., Rink, B. W., &#38; Schwenker, S. (2020). Quiver Representations and Dimension Reduction in Dynamical Systems. <i>SIAM Journal on Applied Dynamical Systems</i>, <i>19</i>(4), 2428–2468. <a href=\"https://doi.org/10.1137/20m1345670\">https://doi.org/10.1137/20m1345670</a>","ieee":"E. Nijholt, B. W. Rink, and S. Schwenker, “Quiver Representations and Dimension Reduction in Dynamical Systems,” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 19, no. 4, pp. 2428–2468, 2020, doi: <a href=\"https://doi.org/10.1137/20m1345670\">10.1137/20m1345670</a>.","mla":"Nijholt, Eddie, et al. “Quiver Representations and Dimension Reduction in Dynamical Systems.” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 19, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2020, pp. 2428–68, doi:<a href=\"https://doi.org/10.1137/20m1345670\">10.1137/20m1345670</a>.","ama":"Nijholt E, Rink BW, Schwenker S. Quiver Representations and Dimension Reduction in Dynamical Systems. <i>SIAM Journal on Applied Dynamical Systems</i>. 2020;19(4):2428-2468. doi:<a href=\"https://doi.org/10.1137/20m1345670\">10.1137/20m1345670</a>"},"user_id":"97359","external_id":{"arxiv":["2006.08073"]},"volume":19,"publication_identifier":{"issn":["1536-0040"]},"title":"Quiver Representations and Dimension Reduction in Dynamical Systems","_id":"33263","publisher":"Society for Industrial & Applied Mathematics (SIAM)","author":[{"full_name":"Nijholt, Eddie","last_name":"Nijholt","first_name":"Eddie"},{"first_name":"Bob W.","full_name":"Rink, Bob W.","last_name":"Rink"},{"full_name":"Schwenker, Sören","id":"97359","last_name":"Schwenker","first_name":"Sören","orcid":"0000-0002-8054-2058"}],"extern":"1","year":"2020","intvolume":"        19","status":"public","page":"2428-2468","doi":"10.1137/20m1345670","issue":"4","publication_status":"published","date_created":"2022-09-06T11:37:42Z","keyword":["Modeling and Simulation","Analysis"],"abstract":[{"lang":"eng","text":"Dynamical systems often admit geometric properties that must be taken into account when studying their behavior. We show that many such properties can be encoded by means of quiver representations. These properties include classical symmetry, hidden symmetry, and feedforward structure, as well as subnetwork and quotient relations in network dynamical systems. A quiver equivariant dynamical system consists of a collection of dynamical systems with maps between them that send solutions to solutions. We prove that such quiver structures are preserved under Lyapunov--Schmidt reduction, center manifold reduction, and normal form reduction."}]}