Periodic solutions of discontinuous second order differential systems
Journal of Singularities, Tome 10 (2014), pp. 183-190
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We provide sufficient conditions for the existence of periodic solutions of some classes of autonomous and non-autonomous second order differential equations with discontinuous right-hand sides. In the plane the discontinuities considered are given by the straight lines either x=0, or xy=0. Two applications of these results are made, one to control systems with variable structure, and the other to small external periodic excitation of a discontinuous nonlinear oscillator.
@article{10_5427_jsing_2014_10l,
author = {Jaume Llibre and Marco Antonio Teixeira},
title = {Periodic solutions of discontinuous second order differential systems},
journal = {Journal of Singularities},
pages = {183--190},
publisher = {mathdoc},
volume = {10},
year = {2014},
doi = {10.5427/jsing.2014.10l},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10l/}
}
TY - JOUR AU - Jaume Llibre AU - Marco Antonio Teixeira TI - Periodic solutions of discontinuous second order differential systems JO - Journal of Singularities PY - 2014 SP - 183 EP - 190 VL - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10l/ DO - 10.5427/jsing.2014.10l ID - 10_5427_jsing_2014_10l ER -
%0 Journal Article %A Jaume Llibre %A Marco Antonio Teixeira %T Periodic solutions of discontinuous second order differential systems %J Journal of Singularities %D 2014 %P 183-190 %V 10 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10l/ %R 10.5427/jsing.2014.10l %F 10_5427_jsing_2014_10l
Jaume Llibre; Marco Antonio Teixeira. Periodic solutions of discontinuous second order differential systems. Journal of Singularities, Tome 10 (2014), pp. 183-190. doi: 10.5427/jsing.2014.10l
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