{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T01:48:05Z","timestamp":1773798485901,"version":"3.50.1"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,11]]},"abstract":"<jats:p> Asymptotic solutions of parabolic boundary value problems are studied in a neighborhood of both an equilibrium state and a cycle in near-critical cases which can be considered as infinite-dimensional due to small values of the diffusion coefficients. Algorithms are developed to construct normalized equations in such situations. Principle difference between bifurcations in two-dimensional and one-dimensional spatial systems is demonstrated. <\/jats:p>","DOI":"10.1142\/s0218127405014258","type":"journal-article","created":{"date-parts":[[2006,2,6]],"date-time":"2006-02-06T09:49:18Z","timestamp":1139219358000},"page":"3595-3606","source":"Crossref","is-referenced-by-count":16,"title":["BIFURCATIONAL FEATURES IN SYSTEMS OF NONLINEAR PARABOLIC EQUATIONS WITH WEAK DIFFUSION"],"prefix":"10.1142","volume":"15","author":[{"given":"S. A.","family":"KASCHENKO","sequence":"first","affiliation":[{"name":"Yaroslavl State University, 150000 Yaroslavl, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Non-stationary Structures and Diffusion-Induced Chaos","author":"Akhromeeva T. S.","year":"1992"},{"key":"rf2","volume-title":"Additional Chapters of the Theory of Ordinary Differential Equations","author":"Arnold V. I.","year":"1978"},{"key":"rf3","volume-title":"Local Method of Nonlinear Analysis","author":"Bryuno A. D.","year":"1979"},{"key":"rf4","first-page":"1307","volume":"281","author":"Kaschenko S. A.","journal-title":"Doklady Acad. Nauk SSSR"},{"key":"rf5","first-page":"116","volume":"27","author":"Kaschenko S. A.","journal-title":"Sibirskii Matemat. Zhurnal"},{"key":"rf6","first-page":"1049","volume":"299","author":"Kaschenko S. A.","journal-title":"Doklady Acad. Nauk SSSR"},{"key":"rf7","first-page":"128","volume":"15","author":"Kaschenko S. A.","journal-title":"Trudy Seminara Imeni I. G. Petrovskogo"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S021812749600059X"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.54.687"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6374-6"},{"key":"rf12","unstructured":"A.\u00a0Stokes, Transactions of the First International Conference on Non-linear Oscillations\u00a02 (Navukova Dumka, Kiev, 1970)\u00a0pp. 480\u2013491."},{"key":"rf13","first-page":"488","volume":"130","author":"Vasilieva A. B.","journal-title":"Mathem. Sbornik"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127405014258","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:03:30Z","timestamp":1565190210000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127405014258"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,11]]},"references-count":12,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,11]]}},"alternative-id":["10.1142\/S0218127405014258"],"URL":"https:\/\/doi.org\/10.1142\/s0218127405014258","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,11]]}}}