Driving Trajectories of Multistable Systems to Desirable Modes with Parametric Excitations

Publication type: Journal Article
Publication date: 2025-01-24
World Scientific
scimago Q1
wos Q2
SJR: 0.596
CiteScore: 3.9
Impact factor: 2.3
ISSN: 02181274, 17936551
Abstract

In this work, switching of vibrations between different modes of a class of multistable systems with parametric excitations is studied. An intermittent control method without altering the underlying dynamics of the system or its coexisting attractors is proposed. When an orbit meets a proximity constraint with the desired orbit, the control action is applied intermittently in the time domain. This control input is operated by perturbing one of the attractors with an impulsive force, thereby switching the system response to the other attractor. The stability of the method is analyzed theoretically, and its effectiveness is verified by numerical results. Additionally, the influences of neighborhood boundary on the amplitude and duration of control inputs in unconstrained and constrained intermittent control methods are also analyzed.

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Yang Q. et al. Driving Trajectories of Multistable Systems to Desirable Modes with Parametric Excitations // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2025. Vol. 35. No. 02.
GOST all authors (up to 50) Copy
Yang Q., Zhou B., Li D., Li Y., Grebogi C. Driving Trajectories of Multistable Systems to Desirable Modes with Parametric Excitations // International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2025. Vol. 35. No. 02.
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TY - JOUR
DO - 10.1142/s021812742550021x
UR - https://www.worldscientific.com/doi/10.1142/S021812742550021X
TI - Driving Trajectories of Multistable Systems to Desirable Modes with Parametric Excitations
T2 - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
AU - Yang, Qiong
AU - Zhou, Biliu
AU - Li, Denghui
AU - Li, Yanpeng
AU - Grebogi, Celso
PY - 2025
DA - 2025/01/24
PB - World Scientific
IS - 02
VL - 35
SN - 0218-1274
SN - 1793-6551
ER -
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@article{2025_Yang,
author = {Qiong Yang and Biliu Zhou and Denghui Li and Yanpeng Li and Celso Grebogi},
title = {Driving Trajectories of Multistable Systems to Desirable Modes with Parametric Excitations},
journal = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering},
year = {2025},
volume = {35},
publisher = {World Scientific},
month = {jan},
url = {https://www.worldscientific.com/doi/10.1142/S021812742550021X},
number = {02},
doi = {10.1142/s021812742550021x}
}