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Volume 14, Issue 4
The bifurcation control for a Lorenz system with time delay

KetianChi, Miao Peng and Jie Zhang

J. Info. Comput. Sci. , 14 (2019), pp. 259-265.

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  • Abstract
2Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, China, (Received September 03 2019, accepted October 27 2019) The main aim of this manuscript is to investigate the control issue for a Lorenz system with time delay applying a hybrid control method based on state feedback and parameter perturbation. By choosing the time delay as the bifurcation parameter and utilizing stability theory for delay differential equation, the local stability in two different cases with time delay equal to 0 and not equal to 0 is discussed. With the help of Hopf bifurcation theorem, the beingness of Hopf bifurcation is established by combining the distribution results of the characteristic roots. And the hybrid control method can availably postpone the Hopf bifurcation by numerical simulations.
  • Keywords

Lorenz system, time delay, hybrid control, stability, Hopf bifurcation.

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  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JICS-14-259, author = {KetianChi, Miao Peng and Jie Zhang}, title = {The bifurcation control for a Lorenz system with time delay}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {14}, number = {4}, pages = {259--265}, abstract = {2Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, China, (Received September 03 2019, accepted October 27 2019) The main aim of this manuscript is to investigate the control issue for a Lorenz system with time delay applying a hybrid control method based on state feedback and parameter perturbation. By choosing the time delay as the bifurcation parameter and utilizing stability theory for delay differential equation, the local stability in two different cases with time delay equal to 0 and not equal to 0 is discussed. With the help of Hopf bifurcation theorem, the beingness of Hopf bifurcation is established by combining the distribution results of the characteristic roots. And the hybrid control method can availably postpone the Hopf bifurcation by numerical simulations. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22401.html} }
TY - JOUR T1 - The bifurcation control for a Lorenz system with time delay AU - KetianChi, Miao Peng and Jie Zhang JO - Journal of Information and Computing Science VL - 4 SP - 259 EP - 265 PY - 2024 DA - 2024/01 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22401.html KW - Lorenz system, time delay, hybrid control, stability, Hopf bifurcation. AB - 2Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, China, (Received September 03 2019, accepted October 27 2019) The main aim of this manuscript is to investigate the control issue for a Lorenz system with time delay applying a hybrid control method based on state feedback and parameter perturbation. By choosing the time delay as the bifurcation parameter and utilizing stability theory for delay differential equation, the local stability in two different cases with time delay equal to 0 and not equal to 0 is discussed. With the help of Hopf bifurcation theorem, the beingness of Hopf bifurcation is established by combining the distribution results of the characteristic roots. And the hybrid control method can availably postpone the Hopf bifurcation by numerical simulations.
KetianChi, Miao Peng and Jie Zhang. (2024). The bifurcation control for a Lorenz system with time delay. Journal of Information and Computing Science. 14 (4). 259-265. doi:
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