Time-delayed feedback control for chaotic systems with coexisting attractors-Reference-Cited by-同舟云学术

Time-delayed feedback control for chaotic systems with coexisting attractors

Published:2024 Issue:1 Volume:9 Page:1088-1102
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zhu Erxi¹²

Affiliation:

1. College of Internet of Things Engineering, Jiangsu Vocational College of Information Technology, Wuxi 214153, China

2. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

1. K. Cheng, Z. Lu, Y. Zhen, Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression, Comput. Meth. Appl. Mech. Eng., 349 (2019), 360–377. https://doi.org/10.1016/j.cma.2019.02.021

2. G. C. Wu, D. Baleanu, Discrete chaos in fractional delayed logistic maps, Nonlinear Dyn., 80 (2014), 1697–1703. https://doi.org/10.1007/s11071-014-1250-3

3. L. Grigoryeva, A. Hart, J. P. Ortega, Chaos on compact manifolds: differentiable synchronizations beyond Takens, Phys. Rev. E, 103 (2020), 062204. https://doi.org/10.1103/PhysRevE.103.062204

4. A. Jahangiri, N. K. A. Attari, A. Nikkhoo, Z. Waezi, Nonlinear dynamic response of an Euler-Bernoulli beam under a moving mass-spring with large oscillations, Arch. Appl. Mech., 90 (2020), 1135–1156. https://doi.org/10.1007/s00419-020-01656-9

5. F. Fotiadis, K. G. Vamvoudakis, Detection of actuator faults for continuous-time systems with intermittent state feedback, Syst. Control Lett., 152 (2021), 104938. https://doi.org/10.1016/j.sysconle.2021.104938

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