{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T17:01:56Z","timestamp":1725469316408},"reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540347712"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-34774-7_53","type":"book-chapter","created":{"date-parts":[[2006,8,25]],"date-time":"2006-08-25T19:48:26Z","timestamp":1156535306000},"page":"415-422","source":"Crossref","is-referenced-by-count":5,"title":["Almost Global Convergence in Singular Perturbations of Strongly Monotone Systems"],"prefix":"10.1007","author":[{"given":"Liming","family":"Wang","sequence":"first","affiliation":[]},{"given":"Eduardo D.","family":"Sontag","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"53_CR1","doi-asserted-by":"publisher","first-page":"801","DOI":"10.1090\/S0002-9939-98-04276-2","volume":"126","author":"E.N. \u201c. Dancer","year":"1998","unstructured":"Dancer, E.N., \u201cSome remarks on a boundedness assumption for monotone dynamical systems,\u201d Proc. of the AMS 126(1998), pp. 801\u2013807.","journal-title":"Proc. of the AMS"},{"key":"53_CR2","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/0022-0396(79)90152-9","volume":"31","author":"N. \u201c. Fenichel","year":"1979","unstructured":"Fenichel, N., \u201cGeometric singular perturbation theory for ordinary differntial equations,\u201d J. of Differential Equations 31 (1979), pp. 53\u201398.","journal-title":"J. of Differential Equations"},{"key":"53_CR3","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1137\/0516030","volume":"16","author":"M. \u201c. Hirsch","year":"1985","unstructured":"Hirsch, M., \u201cSystems of differential equations that are competitive or cooperative II: Convergence almost everywhere,\u201d SIAM J. Mathematical Analysis 16(1985), pp. 423\u2013439.","journal-title":"SIAM J. Mathematical Analysis"},{"key":"53_CR4","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1090\/conm\/017\/706104","volume":"17","author":"M. \u201c. Hirsch","year":"1983","unstructured":"Hirsch, M., \u201cDifferential equations and convergence almost everywhere in strongly monotone flows,\u201d Contemporary Mathematics 17(1983), pp. 267\u2013285.","journal-title":"Contemporary Mathematics"},{"key":"53_CR5","volume-title":"Handbook of Differential Equations, Ordinary Differential Equations","author":"M. Hirsch","year":"2005","unstructured":"Hirsch, M., H.L. Smith, \u201cMonotone dynamical systems,\u201d in Handbook of Differential Equations, Ordinary Differential Equations: Volume 2, Elsevier, Amsterdam, 2005."},{"key":"53_CR6","first-page":"455","volume":"6","author":"J.F. \u201c. Jiang","year":"1994","unstructured":"Jiang, J.F., \u201cOn the global stability of cooperative systems,\u201d Bulletin of the London Math Soc 6(1994), pp. 455\u2013458.","journal-title":"Bulletin of the London Math Soc"},{"key":"53_CR7","doi-asserted-by":"crossref","unstructured":"Jones, C.K.R.T., \u201cGeometric singular perturbation theory,\u201d in Dynamical Systems (Montecatini. Terme, 1994), Lect. Notes in Math. 1609, Springer-Verlag, Berlin.","DOI":"10.1007\/BFb0095239"},{"key":"53_CR8","unstructured":"Jones, C.K.R.T., personal communication."},{"key":"53_CR9","unstructured":"Nipp, K., \u201cSmooth attractive invariant manifolds of singularly perturbed ODE\u2019s,\u201d Research Report, No. 92-13 (1992)"},{"key":"53_CR10","volume-title":"Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems, Mathematical Surveys and Monographs","author":"H.L. Smith","year":"1995","unstructured":"Smith, H.L., Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems, Mathematical Surveys and Monographs, vol. 41, (AMS, Providence, RI, 1995)."},{"key":"53_CR11","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1049\/sb:20045006","volume":"1","author":"E.D. \u201c. Sontag","year":"2004","unstructured":"Sontag, E.D. \u201cSome new directions in control theory inspired by systems biology,\u201d Systems Biology 1(2004), pp. 9\u201318.","journal-title":"Systems Biology"},{"key":"53_CR12","doi-asserted-by":"crossref","first-page":"396","DOI":"10.3166\/ejc.11.396-435","volume":"11","author":"E.D. \u201c. Sontag","year":"2005","unstructured":"Sontag, E.D., \u201cMolecular systems biology and control,\u201d European J. Control 11 (2005), pp. 396\u2013435.","journal-title":"European J. Control"},{"key":"53_CR13","doi-asserted-by":"crossref","unstructured":"Wang, L. and Sontag, E.D. \u201cAlmost Global Convergence in Singular Perturbations of Strongly Monotone Systems,\u201d arXiv, math.DS\/0604369, 2006.","DOI":"10.1109\/CDC.2006.376929"}],"container-title":["Lecture Notes in Control and Information Sciences","Positive Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-34774-7_53.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,8]],"date-time":"2023-05-08T16:43:25Z","timestamp":1683564205000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-34774-7_53"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540347712"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/3-540-34774-7_53","relation":{},"subject":[]}}