@article{Zhu2024, 
author = {Erxi Zhu},
title = {Time-delayed feedback control for chaotic systems with coexisting attractors},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {1088-1102},
keywords = {coexisting attractors, time-delayed feedback control, Hopf bifurcation, transverse condition},
url = {https://www.sciopen.com/article/10.3934/math.2024053},
doi = {10.3934/math.2024053},
abstract = {This study investigated the Hopf bifurcation of the equilibrium point of chaotic systems with coexisting attractors under the time-delayed feedback control. First, the equilibrium point and Hopf bifurcation of chaotic systems with coexisting attractors were analyzed. Second, the chaotic systems were controlled by time-delayed feedback, the transversality condition of Hopf bifurcation at the equilibrium point was discussed, and the time-delayed value of Hopf bifurcation at the equilibrium point was obtained. Lastly, the correctness of the theoretical analysis was verified by using the numerical results.}
}