Standard

The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis. / Kamachkin, A.M.; Yevstafyeva, V.V.; Potapov, D.K.

In: Differential Equations, Vol. 59, No. 7, 11.09.2023, p. 998-1002.

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

Harvard

Kamachkin, AM, Yevstafyeva, VV & Potapov, DK 2023, 'The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis', Differential Equations, vol. 59, no. 7, pp. 998-1002. https://doi.org/10.1134/s0012266123070121

APA

Kamachkin, A. M., Yevstafyeva, V. V., & Potapov, D. K. (2023). The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis. Differential Equations, 59(7), 998-1002. https://doi.org/10.1134/s0012266123070121

Vancouver

Kamachkin AM, Yevstafyeva VV, Potapov DK. The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis. Differential Equations. 2023 Sep 11;59(7):998-1002. https://doi.org/10.1134/s0012266123070121

Author

Kamachkin, A.M. ; Yevstafyeva, V.V. ; Potapov, D.K. / The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis. In: Differential Equations. 2023 ; Vol. 59, No. 7. pp. 998-1002.

BibTeX

@article{fc6c3cb355c64347be63fb4eb047595e,
title = "The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis",
abstract = "Abstract: A multidimensional system of ordinary differential equations with relay hysteresis isconsidered. The system parameters are assumed to be such that there exists a family ofcontinuous operators each of which maps some connected compact set into itself. In this case, theoperator corresponds to a periodic orbit with an even number of switching points in the phasespace of the system. For the operator family, a necessary and sufficient condition for the existenceof a single fixed point is obtained.",
author = "A.M. Kamachkin and V.V. Yevstafyeva and D.K. Potapov",
year = "2023",
month = sep,
day = "11",
doi = "10.1134/s0012266123070121",
language = "English",
volume = "59",
pages = "998--1002",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "7",

}

RIS

TY - JOUR

T1 - The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis

AU - Kamachkin, A.M.

AU - Yevstafyeva, V.V.

AU - Potapov, D.K.

PY - 2023/9/11

Y1 - 2023/9/11

N2 - Abstract: A multidimensional system of ordinary differential equations with relay hysteresis isconsidered. The system parameters are assumed to be such that there exists a family ofcontinuous operators each of which maps some connected compact set into itself. In this case, theoperator corresponds to a periodic orbit with an even number of switching points in the phasespace of the system. For the operator family, a necessary and sufficient condition for the existenceof a single fixed point is obtained.

AB - Abstract: A multidimensional system of ordinary differential equations with relay hysteresis isconsidered. The system parameters are assumed to be such that there exists a family ofcontinuous operators each of which maps some connected compact set into itself. In this case, theoperator corresponds to a periodic orbit with an even number of switching points in the phasespace of the system. For the operator family, a necessary and sufficient condition for the existenceof a single fixed point is obtained.

UR - https://www.mendeley.com/catalogue/5c215566-6226-3764-8d4a-f8a4d0da8b27/

U2 - 10.1134/s0012266123070121

DO - 10.1134/s0012266123070121

M3 - Article

VL - 59

SP - 998

EP - 1002

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 7

ER -

ID: 108629399