Parameters identification and synchronization of chaotic delayed systems containing uncertainties and time-varying delay.
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Sun, Zhongkui, Yang, Xiaoli (2010)
Mathematical Problems in Engineering
El-Bassiouny, A.F. (2002)
International Journal of Mathematics and Mathematical Sciences
Vadivasova, T.E., Sosnovtseva, O.V., Balanov, A.G., Astakhov, V.V. (2000)
Discrete Dynamics in Nature and Society
Osipov, Vladimir Mihajlovich, Osipov, Vladimir Vladimirovich (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Curtright, Thomas (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Jalobeanu, Cireşica (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
François Castella, Guillaume Dujardin (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, we study the linear Schrödinger equation over the d-dimensional torus, with small values of the perturbing potential. We consider numerical approximations of the associated solutions obtained by a symplectic splitting method (to discretize the time variable) in combination with the Fast Fourier Transform algorithm (to discretize the space variable). In this fully discrete setting, we prove that the regularity of the initial datum is preserved over long times, i.e. times that are...
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