On characterization of the solution set in case of generalized semiflow

Zdeněk Beran

Kybernetika (2009)

  • Volume: 45, Issue: 5, page 701-715
  • ISSN: 0023-5954

Abstract

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In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined.

How to cite

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Beran, Zdeněk. "On characterization of the solution set in case of generalized semiflow." Kybernetika 45.5 (2009): 701-715. <http://eudml.org/doc/37694>.

@article{Beran2009,
abstract = {In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined.},
author = {Beran, Zdeněk},
journal = {Kybernetika},
keywords = {generalized semiflow; chaos; symbolic dynamics; chaos; generalized semiflow; symbolic dynamics},
language = {eng},
number = {5},
pages = {701-715},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On characterization of the solution set in case of generalized semiflow},
url = {http://eudml.org/doc/37694},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Beran, Zdeněk
TI - On characterization of the solution set in case of generalized semiflow
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 5
SP - 701
EP - 715
AB - In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connection with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined.
LA - eng
KW - generalized semiflow; chaos; symbolic dynamics; chaos; generalized semiflow; symbolic dynamics
UR - http://eudml.org/doc/37694
ER -

References

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