caa a22 4500 445360852 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11071-010-9829-9 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9829-9 The method of manufactured solutions applied to chaotic systems [Elektronische Daten] [Wan Wu, Leigh McCue, Christopher Roy] In this paper, the method of manufactured solutions is applied to dynamical systems possessing chaotic behavior. This method is used in a non-traditional way to identify points with potential numerical errors and to improve computational efficiency. The numerical errors may be due to the selection of error tolerances in the integration of the ordinary differential equations, computer arithmetic precision, etc. Two classical chaotic models and two ship capsize models are examined. The current approach has similarities to entrainment methods in chaotic control theory, where entrainment refers to two dynamical systems having the same period, phase and amplitude. The convergent region from control theory is used to give a rough guide for identifying potentially catastrophic numerical errors for the classical chaotic models. The effectiveness of this method in improving computational efficiency is demonstrated for the ship capsize models. Springer Science+Business Media B.V., 2010 MMS nationallicence Chaotic control nationallicence Convergent region nationallicence Capsize nationallicence Wu Wan Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut McCue Leigh Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut Roy Christopher Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 667-679 0924-090X 63:4<667 2011 63 11071 https://doi.org/10.1007/s11071-010-9829-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9829-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Wan Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut NATIONALLICENCE 700 1- McCue Leigh Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut NATIONALLICENCE 700 1- Roy Christopher Department of Aerospace and Ocean Engineering, Virginia Tech, 24061, Blacksburg, VA, USA aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 667-679 0924-090X 63:4<667 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer