Standard

Bistable tori and long transient dynamics in three coupled identical ring oscillators. / Stankevich, Nataliya; Kazakov, Alexey; Volkov, Evgeny.

Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 238-241 9216811 (Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Stankevich, N, Kazakov, A & Volkov, E 2020, Bistable tori and long transient dynamics in three coupled identical ring oscillators. in Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020., 9216811, Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020, Institute of Electrical and Electronics Engineers Inc., pp. 238-241, 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020, Innopolis, Russian Federation, 7/09/20. https://doi.org/10.1109/DCNAIR50402.2020.9216811

APA

Stankevich, N., Kazakov, A., & Volkov, E. (2020). Bistable tori and long transient dynamics in three coupled identical ring oscillators. In Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020 (pp. 238-241). [9216811] (Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DCNAIR50402.2020.9216811

Vancouver

Stankevich N, Kazakov A, Volkov E. Bistable tori and long transient dynamics in three coupled identical ring oscillators. In Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 238-241. 9216811. (Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020). https://doi.org/10.1109/DCNAIR50402.2020.9216811

Author

Stankevich, Nataliya ; Kazakov, Alexey ; Volkov, Evgeny. / Bistable tori and long transient dynamics in three coupled identical ring oscillators. Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 238-241 (Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020).

BibTeX

@inproceedings{bdaff748a4084f36afc0f764d0d3aa0b,
title = "Bistable tori and long transient dynamics in three coupled identical ring oscillators",
abstract = "On the example of three coupled identical ring oscillators, the coexistence of two stable homogeneous tori embedded in each other, corresponding to the regimes of successive activity of oscillators, is established. It is shown that a small stable torus is born from a stable periodic regime as a result of supercritical Neirmark-Sacker bifurcation. A large torus is formed as a result of saddle-node bifurcation. We present a study of the formation of tori coexistence as well as long transient dynamics on the threshold of bistability.",
keywords = "gene regulatory networks, multistability, quasiperiodic oscillations, ring oscillators",
author = "Nataliya Stankevich and Alexey Kazakov and Evgeny Volkov",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020 ; Conference date: 07-09-2020 Through 09-09-2020",
year = "2020",
month = sep,
doi = "10.1109/DCNAIR50402.2020.9216811",
language = "English",
series = "Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "238--241",
booktitle = "Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020",
address = "United States",

}

RIS

TY - GEN

T1 - Bistable tori and long transient dynamics in three coupled identical ring oscillators

AU - Stankevich, Nataliya

AU - Kazakov, Alexey

AU - Volkov, Evgeny

N1 - Publisher Copyright: © 2020 IEEE.

PY - 2020/9

Y1 - 2020/9

N2 - On the example of three coupled identical ring oscillators, the coexistence of two stable homogeneous tori embedded in each other, corresponding to the regimes of successive activity of oscillators, is established. It is shown that a small stable torus is born from a stable periodic regime as a result of supercritical Neirmark-Sacker bifurcation. A large torus is formed as a result of saddle-node bifurcation. We present a study of the formation of tori coexistence as well as long transient dynamics on the threshold of bistability.

AB - On the example of three coupled identical ring oscillators, the coexistence of two stable homogeneous tori embedded in each other, corresponding to the regimes of successive activity of oscillators, is established. It is shown that a small stable torus is born from a stable periodic regime as a result of supercritical Neirmark-Sacker bifurcation. A large torus is formed as a result of saddle-node bifurcation. We present a study of the formation of tori coexistence as well as long transient dynamics on the threshold of bistability.

KW - gene regulatory networks

KW - multistability

KW - quasiperiodic oscillations

KW - ring oscillators

UR - http://www.scopus.com/inward/record.url?scp=85096357526&partnerID=8YFLogxK

U2 - 10.1109/DCNAIR50402.2020.9216811

DO - 10.1109/DCNAIR50402.2020.9216811

M3 - Conference contribution

AN - SCOPUS:85096357526

T3 - Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020

SP - 238

EP - 241

BT - Conference Proceedings - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics, DCNAIR 2020

Y2 - 7 September 2020 through 9 September 2020

ER -

ID: 86483728