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Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture. / Burkin, Igor M.; Kuznetsov, Nikolay V.; Mokaev, Timur N.

Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022. ed. / Valentin N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2022. (Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022).

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

Harvard

Burkin, IM, Kuznetsov, NV & Mokaev, TN 2022, Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture. in VN Tkhai (ed.), Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022. Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022, Institute of Electrical and Electronics Engineers Inc., 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022, Moscow, Russian Federation, 1/06/22. https://doi.org/10.1109/stab54858.2022.9807590

APA

Burkin, I. M., Kuznetsov, N. V., & Mokaev, T. N. (2022). Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture. In V. N. Tkhai (Ed.), Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022 (Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/stab54858.2022.9807590

Vancouver

Burkin IM, Kuznetsov NV, Mokaev TN. Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture. In Tkhai VN, editor, Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022. Institute of Electrical and Electronics Engineers Inc. 2022. (Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022). https://doi.org/10.1109/stab54858.2022.9807590

Author

Burkin, Igor M. ; Kuznetsov, Nikolay V. ; Mokaev, Timur N. / Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture. Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022. editor / Valentin N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2022. (Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022).

BibTeX

@inproceedings{86d6c02f07534637b3148382eddf7067,
title = "Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture",
abstract = "In this paper, we use special numerical continuation procedures to construct a novel counterexample to the Kalman conjecture, based on the Fitts system. This counterexample represents a multistable configuration: the coexistence of two hidden chaotic attractors and two hidden limit cycles with a single stable equilibrium state. ",
keywords = "Aizerman conjecture, chaotic attractor, Fitts system, harmonic balance method, Kalman conjecture, megastable system, multistability, self-excited and hidden attractor",
author = "Burkin, {Igor M.} and Kuznetsov, {Nikolay V.} and Mokaev, {Timur N.}",
note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022 ; Conference date: 01-06-2022 Through 03-06-2022",
year = "2022",
month = jun,
day = "1",
doi = "10.1109/stab54858.2022.9807590",
language = "English",
isbn = "9781665465861",
series = "Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Tkhai, {Valentin N.}",
booktitle = "Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022",
address = "United States",

}

RIS

TY - GEN

T1 - Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture

AU - Burkin, Igor M.

AU - Kuznetsov, Nikolay V.

AU - Mokaev, Timur N.

N1 - Publisher Copyright: © 2022 IEEE.

PY - 2022/6/1

Y1 - 2022/6/1

N2 - In this paper, we use special numerical continuation procedures to construct a novel counterexample to the Kalman conjecture, based on the Fitts system. This counterexample represents a multistable configuration: the coexistence of two hidden chaotic attractors and two hidden limit cycles with a single stable equilibrium state.

AB - In this paper, we use special numerical continuation procedures to construct a novel counterexample to the Kalman conjecture, based on the Fitts system. This counterexample represents a multistable configuration: the coexistence of two hidden chaotic attractors and two hidden limit cycles with a single stable equilibrium state.

KW - Aizerman conjecture

KW - chaotic attractor

KW - Fitts system

KW - harmonic balance method

KW - Kalman conjecture

KW - megastable system

KW - multistability

KW - self-excited and hidden attractor

UR - http://www.scopus.com/inward/record.url?scp=85134212869&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/99820791-dc60-3e26-a56b-6b083745f5ef/

U2 - 10.1109/stab54858.2022.9807590

DO - 10.1109/stab54858.2022.9807590

M3 - Conference contribution

AN - SCOPUS:85134212869

SN - 9781665465861

T3 - Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022

BT - Proceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022

A2 - Tkhai, Valentin N.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022

Y2 - 1 June 2022 through 3 June 2022

ER -

ID: 97646017