Bifurcation of periodic solutions in differential inclusions
Applications of Mathematics, Tome 42 (1997) no. 5, pp. 369-393
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Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.
DOI :
10.1023/A:1023010108956
Classification :
34A47, 34A60, 34C23, 34C25
Keywords: multivalued mappings; differential inclusions; periodic solutions; dry friction terms
Keywords: multivalued mappings; differential inclusions; periodic solutions; dry friction terms
@article{10_1023_A_1023010108956,
author = {Fe\v{c}kan, Michal},
title = {Bifurcation of periodic solutions in differential inclusions},
journal = {Applications of Mathematics},
pages = {369--393},
publisher = {mathdoc},
volume = {42},
number = {5},
year = {1997},
doi = {10.1023/A:1023010108956},
mrnumber = {1467555},
zbl = {0903.34036},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1023010108956/}
}
TY - JOUR AU - Fečkan, Michal TI - Bifurcation of periodic solutions in differential inclusions JO - Applications of Mathematics PY - 1997 SP - 369 EP - 393 VL - 42 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1023010108956/ DO - 10.1023/A:1023010108956 LA - en ID - 10_1023_A_1023010108956 ER -
Fečkan, Michal. Bifurcation of periodic solutions in differential inclusions. Applications of Mathematics, Tome 42 (1997) no. 5, pp. 369-393. doi: 10.1023/A:1023010108956
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