A4 Article in conference proceedings
Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture (2022)
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.), STAB 2022 : Proceedings of the 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference). IEEE. https://doi.org/10.1109/STAB54858.2022.9807590
JYU authors or editors
Publication details
All authors or editors: Burkin, Igor M.; Kuznetsov, Nikolay V.; Mokaev, Timur N.
Parent publication: STAB 2022 : Proceedings of the 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference)
Parent publication editors: Tkhai, V. N.
Conference:
- International Conference on Stability and Oscillations of Nonlinear Control Systems
Place and date of conference: Moscow, Russia, 1.-3.6.2022
eISBN: 978-1-6654-6586-1
ISSN: 2832-8922
eISSN: 2832-8930
Publication year: 2022
Publication date: 01/06/2022
Publisher: IEEE
Publication country: United States
Publication language: English
DOI: https://doi.org/10.1109/STAB54858.2022.9807590
Publication open access: Not open
Publication channel open access:
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: dynamical systems; chaos theory; attractors; oscillations; control theory
Free keywords: self-excited and hidden attractor; Aizerman conjecture; Kalman conjecture; chaotic attractor; multistability; megastable system; harmonic balance method; Fitts system
Contributing organizations
Ministry reporting: Yes
Reporting Year: 2022
JUFO rating: 1
