0458430 20240111140918.120160407235959.9 84962706763 000374035600017 10.1142/S0218127416500516 13 s. P cav_un_epca*02567760218-127426World Scientific Publishing Laplace transform Laplace-Adomian decomposition Adomian polynomials nonlinear systems chaos cav_un_auth*0101066 Beran Zdeněk UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101074 Čelikovský Sergej UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 567 KB http://library.utia.cas.cz/separaty/2016/TR/beran-0458430.pdf GA13-20433S GA ČR cav_un_auth*0292613 The aim of this paper is to present the application of the analytical series technique to study properties of the nonlinear chaotic dynamical systems. More specifically, Laplace–Adomian decomposition method is applied to R¨ossler system and the so-called generalized Lorenz system. Some advantages and possible applications of this approach are discussed. Results are illustrated by numerical computations. BC 2017 2 4 A hod 4ah 20231122141625.9 RVO:67985556 http://hdl.handle.net/11104/0258712 1 1 Department of Control Theory UTIA-B 10100 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS S 1650051 3+4 Article Mathematics Interdisciplinary Applications|Multidisciplinary Sciences MULTIDISCIPLINARYSCIENCES|MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS 1.362 0.224 9.1 0.00724 0.378 5516 0.587 Q1 1.002 263 Q2 23.815 55.8 Q4 Q2 60.156 2016 Soubory v repozitáři: beran-0458430.pdf 84962706763 SCOPUS 000374035600017 WOS 567 KB cav_un_epca*0256776 International Journal of Bifurcation and Chaos 0218-1274 1793-6551 Roč. 26 č. 3 2016 World Scientific Publishing