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Hidden attractors in electromechanical systems with and without equilibria. / Kiseleva, Maria A.; Kuznetsov, Nikolay V.; Leonov, Gennady A.

In: IFAC-PapersOnLine, Vol. 49, No. 14, 01.01.2016, p. 51-55.

Research output: Contribution to journal › Article › peer-review

Harvard

Kiseleva, MA, Kuznetsov, NV & Leonov, GA 2016, 'Hidden attractors in electromechanical systems with and without equilibria', IFAC-PapersOnLine, vol. 49, no. 14, pp. 51-55. https://doi.org/10.1016/j.ifacol.2016.07.975

APA

Kiseleva, M. A., Kuznetsov, N. V., & Leonov, G. A. (2016). Hidden attractors in electromechanical systems with and without equilibria. IFAC-PapersOnLine, 49(14), 51-55. https://doi.org/10.1016/j.ifacol.2016.07.975

Vancouver

Kiseleva MA, Kuznetsov NV, Leonov GA. Hidden attractors in electromechanical systems with and without equilibria. IFAC-PapersOnLine. 2016 Jan 1;49(14):51-55. https://doi.org/10.1016/j.ifacol.2016.07.975

Author

Kiseleva, Maria A. ; Kuznetsov, Nikolay V. ; Leonov, Gennady A. / Hidden attractors in electromechanical systems with and without equilibria. In: IFAC-PapersOnLine. 2016 ; Vol. 49, No. 14. pp. 51-55.

BibTeX

@article{2c12f86a0efc4c61ad93b5b14bf42bac,
title = "Hidden attractors in electromechanical systems with and without equilibria",
abstract = "This paper studies hidden oscillations appearing in electromechanical systems with and without equilibria. Three different systems with such effects are considered: translational oscillator-rotational actuator, drilling system actuated by a DC-motor and drilling system actuated by induction motor. We demonstrate that three systems experience hidden oscillations in sense of mathematical definition. While some of these hidden oscillations can be easily seen in natural physical experiments, the localization of others requires special efforts.",
keywords = "discontinuous systems, drilling system, Hidden attractors, Sommerfeld effect",
author = "Kiseleva, {Maria A.} and Kuznetsov, {Nikolay V.} and Leonov, {Gennady A.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2016.07.975",
language = "English",
volume = "49",
pages = "51--55",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "14",

}

RIS

TY - JOUR

T1 - Hidden attractors in electromechanical systems with and without equilibria

AU - Kiseleva, Maria A.

AU - Kuznetsov, Nikolay V.

AU - Leonov, Gennady A.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - This paper studies hidden oscillations appearing in electromechanical systems with and without equilibria. Three different systems with such effects are considered: translational oscillator-rotational actuator, drilling system actuated by a DC-motor and drilling system actuated by induction motor. We demonstrate that three systems experience hidden oscillations in sense of mathematical definition. While some of these hidden oscillations can be easily seen in natural physical experiments, the localization of others requires special efforts.

AB - This paper studies hidden oscillations appearing in electromechanical systems with and without equilibria. Three different systems with such effects are considered: translational oscillator-rotational actuator, drilling system actuated by a DC-motor and drilling system actuated by induction motor. We demonstrate that three systems experience hidden oscillations in sense of mathematical definition. While some of these hidden oscillations can be easily seen in natural physical experiments, the localization of others requires special efforts.

KW - discontinuous systems

KW - drilling system

KW - Hidden attractors

KW - Sommerfeld effect

UR - http://www.scopus.com/inward/record.url?scp=84990038895&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2016.07.975

DO - 10.1016/j.ifacol.2016.07.975

M3 - Article

AN - SCOPUS:84990038895

VL - 49

SP - 51

EP - 55

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 14

ER -

ID: 52007121