caa a22 4500 477108938 CHVBK 20180405111603.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF01128163 doi (NATIONALLICENCE)springer-10.1007/BF01128163 Bifurcation of controllability regions in a plane by separatrix splitting [Elektronische Daten] [N. Butenina, Z. Pavlyuchonok] For a nonlinear controlled dynamic system of the form where u(t) is a bounded piecewise-continuous control and m ≤ u(t) ≤ n, the article studies bifurcations (qualitative changes) of controllability (reachability) regions due to merging and subsequent splitting of separatrices of the equilibrium states of auxiliary autonomous systems. Conditions for continuous and discontinuous changes of the controllability (reachability) regions are established. Bifurcations of controllability regions of Duffing equations are considered as an illustration. Plenum Publishing Corporation, 1996 Butenina N. aut Pavlyuchonok Z. aut Computational Mathematics and Modeling Kluwer Academic Publishers-Plenum Publishers 7/3(1996-07-01), 319-327 1046-283X 7:3<319 1996 7 10598 https://doi.org/10.1007/BF01128163 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01128163 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Butenina N. aut NATIONALLICENCE 700 1- Pavlyuchonok Z. aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Kluwer Academic Publishers-Plenum Publishers 7/3(1996-07-01), 319-327 1046-283X 7:3<319 1996 7 10598 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer