# Bifurcation of periodic and chaotic solutions in discontinuous systems

Archivum Mathematicum (1998)

- Volume: 034, Issue: 1, page 73-82
- ISSN: 0044-8753

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topFečkan, Michal. "Bifurcation of periodic and chaotic solutions in discontinuous systems." Archivum Mathematicum 034.1 (1998): 73-82. <http://eudml.org/doc/248196>.

@article{Fečkan1998,

abstract = {Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications are given to ordinary differential equations with both dry friction and relay hysteresis terms.},

author = {Fečkan, Michal},

journal = {Archivum Mathematicum},

keywords = {Chaotic and periodic solutions; differential inclusions; relay hysteresis; chaotic and periodic solutions; differential inclusions; relay hysteresis},

language = {eng},

number = {1},

pages = {73-82},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Bifurcation of periodic and chaotic solutions in discontinuous systems},

url = {http://eudml.org/doc/248196},

volume = {034},

year = {1998},

}

TY - JOUR

AU - Fečkan, Michal

TI - Bifurcation of periodic and chaotic solutions in discontinuous systems

JO - Archivum Mathematicum

PY - 1998

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 034

IS - 1

SP - 73

EP - 82

AB - Chaos generated by the existence of Smale horseshoe is the well-known phenomenon in the theory of dynamical systems. The Poincaré-Andronov-Melnikov periodic and subharmonic bifurcations are also classical results in this theory. The purpose of this note is to extend those results to ordinary differential equations with multivalued perturbations. We present several examples based on our recent achievements in this direction. Singularly perturbed problems are studied as well. Applications are given to ordinary differential equations with both dry friction and relay hysteresis terms.

LA - eng

KW - Chaotic and periodic solutions; differential inclusions; relay hysteresis; chaotic and periodic solutions; differential inclusions; relay hysteresis

UR - http://eudml.org/doc/248196

ER -

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