New approach to applying neural network in nonlinear dynamic model

Applied Mathematical Modelling - Tập 32 Số 12 - Trang 2621-2633 - 2008
Fabrício Pereira Härter1, Haroldo Fraga de Campos Velho1
1Instituto Nacional de Pesquisas Espaciais, Laboratório Associado de Computação e Matemática Aplicada, São José dos Campos, SP, Brazil

Tóm tắt

Từ khóa


Tài liệu tham khảo

Grebogi, 1987, Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics, Science, 238, 585, 10.1126/science.238.4827.632

Kalnay, 2004

F. Boutier, P. Courtier, Data assimilation concepts and methods, Lecture Note, European Centre for Medium-Range Weather Forecasts (ECMWF), <http://www.ecmwf.int/newsevents/training/lecture_notes/LN_DA.html>.

Dee, 1998, Data Assimilation in the presence of forecast bias, Quart. J. Roy. Meteorol. Soc., 124, 269, 10.1002/qj.49712454512

Miller, 1994, Advanced Data Assimilation in strongly nonlinear dynamical systems, J. Atmos. Sci., 51, 1037, 10.1175/1520-0469(1994)051<1037:ADAISN>2.0.CO;2

Anderson, 2001, An ensemble adjustment Kalman Filter for data assimilation, Mon. Weather Rev., 129, 2884, 10.1175/1520-0493(2001)129<2884:AEAKFF>2.0.CO;2

Lister, 2004, The computational complexity and parallel scalability of Atmospheric Data Assimilation Algorithms, J. Atmos. Ocean. Technol., 21, 1689, 10.1175/JTECH1636.1

Hsieh, 1998, Applying Neural Network Models to Prediction and Data Analysis in Meteorology and Oceanography, Bull. Am. Meteorol. Soc., 79, 1855, 10.1175/1520-0477(1998)079<1855:ANNMTP>2.0.CO;2

A. Nowosad, H. Campos Velho, A. Rios Neto, Data assimilation in chaotic dynamics using neural networks, in: Proceeding of the Third International Conference on Nonlinear Dynamics, Chaos, Control and Their Applications in Engineering Sciences, vol. 6, Associação Brasileira de Ciências Mecânicas, Rio de Janeiro, 2000, p. 212–221.

Campos Velho, 2000

Liaqat, 2003, Applying a neural collocation method to an incompletely known dynamical system via weak constraint data assimilation, Month. Weather Rev., 131, 1696, 10.1175//2557.1

Tang, 2001, Coupling neural network to dynamical systems via variational data assimilation, Month. Weather Rev., 131, 1855

Lynch, 1992, Initialization of HIRLAM model using a digital filter, Month. Weather Rev., 14, 1019, 10.1175/1520-0493(1992)120<1019:IOTHMU>2.0.CO;2

Holton, 1992

Campos Velho, 1997, A Comprehensive analysis of a barotrophic limited area model using the nonmodal matrix technique, Braz. J. Meteorol., 12, 41

Jazwinski, 1970

Gardner, 1998, Artificial neural networks (the multilayer perpectron) – a review of applications in the atmospheric sciences, Atmos. Environ., 22, 2627, 10.1016/S1352-2310(97)00447-0

Hartër, 2005, Recurrent and Feedforward Neural Networks Trained with Cross Correlation Applied to the Data Assimilation in Chaotic Dynamic, Braz. J. Meteorol., 20, 411

Haykin, 1994

Broomhead, 1988, Multivariate functional interpolation and adaptive networks, Complex Syst., 2, 321

Micchelli, 1986, Interpolation of scattered data: Distance matrices and conditionally positive definite functions, Construct. Approx., 2, 11, 10.1007/BF01893414

Poggio, 1990, Networks for approximation and learning, Proc. IEEE, 78, 1481, 10.1109/5.58326

Tikhonov, 1977