{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:39:30Z","timestamp":1772296770521,"version":"3.50.1"},"reference-count":6,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2005,7,8]],"date-time":"2005-07-08T00:00:00Z","timestamp":1120780800000},"content-version":"vor","delay-in-days":4147,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Linear Algebra App"],"published-print":{"date-parts":[[1994,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Many processes in the sciences and in engineering are modelled by dynamical systems and\u2014in discretized version\u2014by nonlinear maps. To understand the often complicated dynamical behaviour it is a well established tool to use the concept of invariant manifolds of the system. In this way it is often possible to reduce the dimension of the system considerably. In this paper we propose a new method to calculate numerically invariant manifolds near fixed points of maps. We prove convergence of our procedure and provide an error estimation. Finally, the application of the method is illustrated by examples.<\/jats:p>","DOI":"10.1002\/nla.1680010205","type":"journal-article","created":{"date-parts":[[2005,11,1]],"date-time":"2005-11-01T18:21:14Z","timestamp":1130869274000},"page":"141-150","source":"Crossref","is-referenced-by-count":5,"title":["Numerical calculation of invariant manifolds for maps"],"prefix":"10.1002","volume":"1","author":[{"given":"Ma","family":"Fuming","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tassilo","family":"K\u00fcpper","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2005,7,8]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/01630568708816239"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5929-9"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"e_1_2_1_5_2","volume-title":"Bifurcation of Maps and Applications","author":"Looss G.","year":"1979"},{"key":"e_1_2_1_6_2","first-page":"149","article-title":"Euler. difference scheme for ordinary differential equations and center manifolds","volume":"4","author":"Ma F.","year":"1988","journal-title":"Journal of Northeastern Mathematics"},{"key":"e_1_2_1_7_2","article-title":"Numerical method to calculate center manifold of ODE's","author":"Ma F.","year":"1991","journal-title":"Applicable Analysis"}],"container-title":["Numerical Linear Algebra with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fnla.1680010205","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/nla.1680010205","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T03:40:58Z","timestamp":1698118858000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/nla.1680010205"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,3]]},"references-count":6,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1994,3]]}},"alternative-id":["10.1002\/nla.1680010205"],"URL":"https:\/\/doi.org\/10.1002\/nla.1680010205","archive":["Portico"],"relation":{},"ISSN":["1070-5325","1099-1506"],"issn-type":[{"value":"1070-5325","type":"print"},{"value":"1099-1506","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,3]]}}}