TY - JOUR

T1 - On asymmetric periodic solutions in relay feedback systems

AU - Boiko, I. M.

AU - Kuznetsov, N. V.

AU - Mokaev, R. N.

AU - Akimova, E. D.

N1 - Funding Information: This work was supported by the Russian Science Foundation 19-41-02002 and the Khalifa University , Abu Dhabi Project CIRA-2018-104 . Publisher Copyright: © 2020 The Franklin Institute Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - Asymmetric self-excited periodic motions or periodic solutions which are produced by relay feedback systems that have symmetric characteristics are studied in the paper. Two different mechanisms of producing an asymmetric oscillation by a system with symmetric properties are noted and analyzed by the locus of a perturbed relay system (LPRS) method. Bifurcation between the ability to excite symmetric and asymmetric oscillation with variation of system parameters is analyzed. An algorithm of finding asymmetric solutions is proposed.

AB - Asymmetric self-excited periodic motions or periodic solutions which are produced by relay feedback systems that have symmetric characteristics are studied in the paper. Two different mechanisms of producing an asymmetric oscillation by a system with symmetric properties are noted and analyzed by the locus of a perturbed relay system (LPRS) method. Bifurcation between the ability to excite symmetric and asymmetric oscillation with variation of system parameters is analyzed. An algorithm of finding asymmetric solutions is proposed.

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KW - OSCILLATIONS

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KW - LOCUS

UR - http://www.scopus.com/inward/record.url?scp=85095859257&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/d81ecf1b-80ab-3049-b0dd-07e70e8934f0/

U2 - 10.1016/j.jfranklin.2020.10.024

DO - 10.1016/j.jfranklin.2020.10.024

M3 - Article

AN - SCOPUS:85095859257

VL - 358

SP - 363

EP - 383

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

SN - 0016-0032

IS - 1

ER -