Stability and chaotic attractors of memristor-based circuit with a line of equilibria

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

This report investigates the stability problem of memristive systems with a line of equilibria on the example of SBT memristor-based Wien-bridge circuit. For the considered system, conditions of local and global partial stability are obtained, and chaotic dynamics is studied.

Original languageEnglish
Title of host publicationAETA 2018 - Recent Advances in Electrical Engineering and Related Sciences
Subtitle of host publicationTheory and Application
EditorsTran Trong Dao, Sang Bong Kim, Vo Hoang Duy, Ivan Zelinka, Pavel Brandstetter
PublisherSpringer
Pages639-644
Number of pages6
ISBN (Print)9783030149062
DOIs
StatePublished - 1 Jan 2020
Event5th International Conference on Advanced Engineering Theory and Applications, AETA 2018 - Ostrava, Czech Republic
Duration: 11 Sep 201813 Sep 2018

Publication series

NameLecture Notes in Electrical Engineering
Volume554
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference5th International Conference on Advanced Engineering Theory and Applications, AETA 2018
CountryCzech Republic
CityOstrava
Period11/09/1813/09/18

Keywords

  • Chaos
  • Hidden attractors
  • Memristor
  • Partial stability

Scopus subject areas

  • Industrial and Manufacturing Engineering

Cite this

Kuznetsov, N. V., Mokaev, T. N., Kudryashova, E. V., Kuznetsova, O. A., Mokaev, R. N., Yuldashev, M. V., & Yuldashev, R. V. (2020). Stability and chaotic attractors of memristor-based circuit with a line of equilibria. In T. Trong Dao, S. B. Kim, V. Hoang Duy, I. Zelinka, & P. Brandstetter (Eds.), AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application (pp. 639-644). (Lecture Notes in Electrical Engineering; Vol. 554). Springer. https://doi.org/10.1007/978-3-030-14907-9_62
Kuznetsov, N. V. ; Mokaev, T. N. ; Kudryashova, E. V. ; Kuznetsova, O. A. ; Mokaev, R. N. ; Yuldashev, M. V. ; Yuldashev, R. V. / Stability and chaotic attractors of memristor-based circuit with a line of equilibria. AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. editor / Tran Trong Dao ; Sang Bong Kim ; Vo Hoang Duy ; Ivan Zelinka ; Pavel Brandstetter. Springer, 2020. pp. 639-644 (Lecture Notes in Electrical Engineering).
@inproceedings{296f6d234f6044d88b5cdba2d5caf32c,
title = "Stability and chaotic attractors of memristor-based circuit with a line of equilibria",
abstract = "This report investigates the stability problem of memristive systems with a line of equilibria on the example of SBT memristor-based Wien-bridge circuit. For the considered system, conditions of local and global partial stability are obtained, and chaotic dynamics is studied.",
keywords = "Chaos, Hidden attractors, Memristor, Partial stability",
author = "Kuznetsov, {N. V.} and Mokaev, {T. N.} and Kudryashova, {E. V.} and Kuznetsova, {O. A.} and Mokaev, {R. N.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
year = "2020",
month = "1",
day = "1",
doi = "10.1007/978-3-030-14907-9_62",
language = "English",
isbn = "9783030149062",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer",
pages = "639--644",
editor = "{Trong Dao}, Tran and Kim, {Sang Bong} and {Hoang Duy}, Vo and Ivan Zelinka and Pavel Brandstetter",
booktitle = "AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences",
address = "Germany",

}

Kuznetsov, NV, Mokaev, TN, Kudryashova, EV, Kuznetsova, OA, Mokaev, RN, Yuldashev, MV & Yuldashev, RV 2020, Stability and chaotic attractors of memristor-based circuit with a line of equilibria. in T Trong Dao, SB Kim, V Hoang Duy, I Zelinka & P Brandstetter (eds), AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. Lecture Notes in Electrical Engineering, vol. 554, Springer, pp. 639-644, 5th International Conference on Advanced Engineering Theory and Applications, AETA 2018, Ostrava, Czech Republic, 11/09/18. https://doi.org/10.1007/978-3-030-14907-9_62

Stability and chaotic attractors of memristor-based circuit with a line of equilibria. / Kuznetsov, N. V.; Mokaev, T. N.; Kudryashova, E. V.; Kuznetsova, O. A.; Mokaev, R. N.; Yuldashev, M. V.; Yuldashev, R. V.

AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. ed. / Tran Trong Dao; Sang Bong Kim; Vo Hoang Duy; Ivan Zelinka; Pavel Brandstetter. Springer, 2020. p. 639-644 (Lecture Notes in Electrical Engineering; Vol. 554).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

TY - GEN

T1 - Stability and chaotic attractors of memristor-based circuit with a line of equilibria

AU - Kuznetsov, N. V.

AU - Mokaev, T. N.

AU - Kudryashova, E. V.

AU - Kuznetsova, O. A.

AU - Mokaev, R. N.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - This report investigates the stability problem of memristive systems with a line of equilibria on the example of SBT memristor-based Wien-bridge circuit. For the considered system, conditions of local and global partial stability are obtained, and chaotic dynamics is studied.

AB - This report investigates the stability problem of memristive systems with a line of equilibria on the example of SBT memristor-based Wien-bridge circuit. For the considered system, conditions of local and global partial stability are obtained, and chaotic dynamics is studied.

KW - Chaos

KW - Hidden attractors

KW - Memristor

KW - Partial stability

UR - http://www.scopus.com/inward/record.url?scp=85066318687&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/stability-chaotic-attractors-memristorbased-circuit-line-equilibria

U2 - 10.1007/978-3-030-14907-9_62

DO - 10.1007/978-3-030-14907-9_62

M3 - Conference contribution

SN - 9783030149062

T3 - Lecture Notes in Electrical Engineering

SP - 639

EP - 644

BT - AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences

A2 - Trong Dao, Tran

A2 - Kim, Sang Bong

A2 - Hoang Duy, Vo

A2 - Zelinka, Ivan

A2 - Brandstetter, Pavel

PB - Springer

ER -

Kuznetsov NV, Mokaev TN, Kudryashova EV, Kuznetsova OA, Mokaev RN, Yuldashev MV et al. Stability and chaotic attractors of memristor-based circuit with a line of equilibria. In Trong Dao T, Kim SB, Hoang Duy V, Zelinka I, Brandstetter P, editors, AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. Springer. 2020. p. 639-644. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-3-030-14907-9_62