On joint identification of the feedback parameters for hyperchaotic systems: An optimization-based approach |
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| Authors: | Nianqiang Li Wei Pan Lianshan Yan Bin Luo Mingfeng Xu Ning Jiang Yilong Tang |
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| Affiliation: | 1. State Key Laboratory of Optical Technologies on Nano-Fabrication and Micro-Engineering, Institute of Optics and Electronics, Chinese Academy of Sciences, P.O. Box 350, Chengdu 610209, China;2. School of Optoelectronics, University of Chinese Academy of Sciences, Being 100049, China;3. Division of Frontier Science and Technology, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610209, China;1. School of Chemistry, Bharathidasan University, Tiruchirappalli 620 024, India;2. Department of Chemistry, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India;3. Faculty Recharge Programme, University Grants Commission, New Delhi, India |
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| Abstract: | We propose an optimization-based scheme for parameter estimation in high-dimensional chaotic systems, and the symbolic time series analysis (STSA) based method is adopted to address the estimation problem. It is shown that, when the system structure and the corresponding time series are known, the STSA-based method works better with respect to the autocorrelation function (ACF) and the mutual information (MI) technologies. Most importantly, the time delay and the feedback strength of two test systems, i.e., the Mackey–Glass system and an external-cavity semiconductor laser system, can be successfully identified using the proposed scheme. To explore the noise immunity, the influence of certain levels of noise on the STSA-based method is tested. |
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