caa a22 4500 477118429 CHVBK 20180405111628.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF02254704 doi (NATIONALLICENCE)springer-10.1007/BF02254704 Controllability near Takens-Bogdanov points [Elektronische Daten] [G. Häckl, K. Schneider] We study controllability properties of the control-affine system whose uncontrolled part coincides with a universal unfolding of a Takens-Bogdanov singularity. The main result is that the qualitative behavior of the control system can be different from the behavior of all systems with constant control functions in the following sense. There are parameter regions and control ranges such that for constant controls there is no homoclinic orbit, while there exists a "controlled homoclinic” orbit corresponding to a nonconstant control function. Plenum Publishing Corporation, 1996 Controllability nationallicence control set nationallicence Takens-Bogdanov points nationallicence bifurcation nationallicence Häckl G. Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, D-86159, Augsburg, Germany aut Schneider K. Weierstraß-Institut für Angewandte, Analysis und Stochastik, Mohrenstraße 39, D-10117, Berlin, Germany aut Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/4(1996-10-01), 583-598 1079-2724 2:4<583 1996 2 10883 https://doi.org/10.1007/BF02254704 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02254704 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Häckl G. Institut für Mathematik, Universität Augsburg, Universitätsstraße 14, D-86159, Augsburg, Germany aut NATIONALLICENCE 700 1- Schneider K. Weierstraß-Institut für Angewandte, Analysis und Stochastik, Mohrenstraße 39, D-10117, Berlin, Germany aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/4(1996-10-01), 583-598 1079-2724 2:4<583 1996 2 10883 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer