{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T06:47:44Z","timestamp":1778654864803,"version":"3.51.4"},"reference-count":27,"publisher":"Elsevier BV","issue":"3-4","license":[{"start":{"date-parts":[[2003,10,1]],"date-time":"2003-10-01T00:00:00Z","timestamp":1064966400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2003,10]]},"DOI":"10.1016\/s0925-2312(03)00394-1","type":"journal-article","created":{"date-parts":[[2003,6,2]],"date-time":"2003-06-02T23:25:49Z","timestamp":1054596349000},"page":"581-591","source":"Crossref","is-referenced-by-count":24,"title":["Reconstruction of chaotic time series by neural models: a case study"],"prefix":"10.1016","volume":"55","author":[{"given":"Stefania","family":"Tronci","sequence":"first","affiliation":[]},{"given":"Massimiliano","family":"Giona","sequence":"additional","affiliation":[]},{"given":"Roberto","family":"Baratti","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0925-2312(03)00394-1_BIB1","series-title":"Analysis of Observed Chaotic Data","author":"Abarbanel","year":"1996"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB2","doi-asserted-by":"crossref","unstructured":"A. Barron, Approximation and estimation bounds for artificial neural networks, Technical Report 59, Department of Statistics, University of Illinois at Urbana-Champaign, 1991.","DOI":"10.1016\/B978-1-55860-213-7.50025-0"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB3","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/0167-2789(89)90074-2","article-title":"Nonlinear prediction of chaotic time series","volume":"35","author":"Casdagli","year":"1989","journal-title":"Physica D"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB4","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/BF02551274","article-title":"Approximation by superimposition of a sigmoidal function","volume":"2","author":"Cybenko","year":"1989","journal-title":"Math. Control Signal Systems"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB5","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1103\/PhysRevLett.59.845","article-title":"Predicting chaotic time series","volume":"59","author":"Farmer","year":"1987","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB6","series-title":"Evolution, Learning and Cognition","article-title":"Exploiting chaos to predict the future and reduce noise","author":"Farmer","year":"1988"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB7","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0893-6080(89)90003-8","article-title":"On the approximate realization of continuous mappings by neural networks","volume":"2","author":"Funahashi","year":"1989","journal-title":"Neural Networks"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB8","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/0167-2789(95)00230-8","article-title":"A statistical framework for testing chaotic dynamics via Lyapunov exponents","volume":"89","author":"Gan\u00e7ay","year":"1996","journal-title":"Physica D"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB9","doi-asserted-by":"crossref","first-page":"2469","DOI":"10.1016\/0009-2509(92)87078-5","article-title":"Functional reconstruction of oscillating reaction","volume":"47","author":"Giona","year":"1992","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB10","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1142\/S0218127491000403","article-title":"Nonlinear time sequence analysis","volume":"1","author":"Grassberger","year":"1991","journal-title":"Int. J. Bif. Chaos"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB11","series-title":"Introduction to the Theory of Neural Computation","author":"Hertz","year":"1991"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB12","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0893-6080(91)90009-T","article-title":"Approximation capabilities of multilayer feedforward neural networks","volume":"4","author":"Hornik","year":"1991","journal-title":"Neural Networks"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB13","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0893-6080(89)90020-8","article-title":"Multilayer feedforward networks are universal approximators","volume":"2","author":"Hornik","year":"1989","journal-title":"Neural Networks"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB14","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1016\/0893-6080(90)90005-6","article-title":"Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks","volume":"3","author":"Hornik","year":"1990","journal-title":"Neural Networks"},{"issue":"5","key":"10.1016\/S0925-2312(03)00394-1_BIB15","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1109\/72.410351","article-title":"On the application of orthogonal transformation for the design and analysis of feedforward networks","volume":"6","author":"Kanjilal","year":"1995","journal-title":"IEEE Trans. Neural Networks"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB16","series-title":"Neural Information Processing System","first-page":"442","article-title":"How neural nets work","author":"Lapedes","year":"1987"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB17","unstructured":"A. Lapedes, R. Farber, Nonlinear signal processing using neural networks, Los Alamos National Laboratory, LA-UR-87-2662, 1987b."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB18","doi-asserted-by":"crossref","first-page":"2747","DOI":"10.1016\/0009-2509(86)80006-9","article-title":"Chaotic behavior of a diffusion-reaction system","volume":"36","author":"Nandapurkar","year":"1986","journal-title":"Chem. Eng. Sci."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB19","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/S0378-4371(00)00215-6","article-title":"Using artificial neural network to forecast chaotic time series","volume":"284","author":"de Oliveira","year":"2000","journal-title":"Physica A"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB20","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1103\/PhysRevLett.64.1196","article-title":"Controlling Chaos","volume":"64","author":"Ott","year":"1990","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB21","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1111\/j.1467-9892.1982.tb00328.x","article-title":"The statistical analysis of perturbed limit cycle using nonlinear time series models","volume":"3","author":"Ozaki","year":"1982","journal-title":"J. Time Series Anal."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0370-1573(98)00035-0","article-title":"Interdisciplinary application of nonlinear time series methods","volume":"308","author":"Schreiber","year":"1999","journal-title":"Phys. Rep."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB23","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0375-9601(82)90566-7","article-title":"Transition to chaos via two-torus in coupled reaction-diffusion cells","volume":"91","author":"Schreiber","year":"1982","journal-title":"Phys. Lett."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB24","unstructured":"T. Stengos, Nonparametric forecasts of gold rates of return, Department of Economics, No. 1995-1, University of Guelph, 1995."},{"key":"10.1016\/S0925-2312(03)00394-1_BIB25","series-title":"Dynamical Systems and Bifurcations","article-title":"Distinguishing deterministic and random systems","author":"Takens","year":"1981"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB26","article-title":"Threshold models in nonlinear time series analysis","volume":"Vol. 21","author":"Tong","year":"1983"},{"key":"10.1016\/S0925-2312(03)00394-1_BIB27","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1111\/j.1467-9892.1987.tb00435.x","article-title":"Nearest-neighbor methods for time series analysis","volume":"8","author":"Yakowitz","year":"1987","journal-title":"J. Time Series Anal."}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231203003941?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231203003941?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T00:26:58Z","timestamp":1553128018000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231203003941"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,10]]},"references-count":27,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2003,10]]}},"alternative-id":["S0925231203003941"],"URL":"https:\/\/doi.org\/10.1016\/s0925-2312(03)00394-1","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2003,10]]}}}