Bifurcation of periodic solutions in differential inclusions

Michal Fečkan

Applications of Mathematics (1997)

  • Volume: 42, Issue: 5, page 369-393
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Fečkan, Michal. "Bifurcation of periodic solutions in differential inclusions." Applications of Mathematics 42.5 (1997): 369-393. <http://eudml.org/doc/32987>.

@article{Fečkan1997,
abstract = {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.},
author = {Fečkan, Michal},
journal = {Applications of Mathematics},
keywords = {multivalued mappings; differential inclusions; periodic solutions; dry friction terms; multivalued mappings; differential inclusions; periodic solutions; dry friction terms},
language = {eng},
number = {5},
pages = {369-393},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bifurcation of periodic solutions in differential inclusions},
url = {http://eudml.org/doc/32987},
volume = {42},
year = {1997},
}

TY - JOUR
AU - Fečkan, Michal
TI - Bifurcation of periodic solutions in differential inclusions
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 5
SP - 369
EP - 393
AB - 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.
LA - eng
KW - multivalued mappings; differential inclusions; periodic solutions; dry friction terms; multivalued mappings; differential inclusions; periodic solutions; dry friction terms
UR - http://eudml.org/doc/32987
ER -

References

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