0462106 20240111140923.520160901235959.9 85009204345 000401244000063 10.1016/j.ifacol.2016.10.193 6 s. C cav_un_epca*04716382405-896310th IFAC Symposium on Nonlinear Control Systems NOLCOS 2016 - Monterey, California, USA, 23-25 August 2016368-373MontereyIFAC2016 Numerical Methods Bifurcation and Chaos cav_un_auth*0101066 Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Beran Zdeněk UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101074 Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Čelikovský Sergej UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. konferenční příspěvek 1,50 MB cav_un_auth*0292613 GA13-20433S GA ČR Experimental numerical analysis of the analytical series technique to solve nonlinear systems based on the so-called Adomian polynomials expansions will be presented here. Unlike standard dierence methods like Runge-Kutta schemes of various orders, the Adomian method enables to compute a single approximation on relatively long time intervals. The corresponding lengths can be combined with the order of the polynomial expansions, thereby providing variety of trade-os between them to achieve similar accuracy. The generalized Lorenz chaotic system has been chosen as a testing platform. cav_un_auth*0332860 The 10th IFAC Symposium on Nonlinear Control Systems, Monterey, California, USA (2016) 23.08.2016-25.08.2016 Monterey, California US BC 2017 2 PR RVO:67985556 http://hdl.handle.net/11104/0265537 S n.a. Proceedings Paper Automation Control Systems 0.298 Q3 Q3 2016 85009204345 SCOPUS 000401244000063 WOS konferenční příspěvek 1,50 MB cav_un_epca*0471638 IFAC-PapersOnLine. Volume 49, Issue 18 10th IFAC Symposium on Nonlinear Control Systems NOLCOS 2016 - Monterey, California, USA, 23-25 August 2016 2405-8963 368 373 Monterey IFAC 2016