Analysing chaos in fractional-order systems with the harmonic balance method |
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Authors: | Wu Zheng-Mao Lu Jun-Guo and Xie Jian-Ying |
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Institution: | Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China |
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Abstract: | In this paper, the fractional-order Genesio--Tesi system showing chaotic
behaviours is introduced, and the corresponding one in an integer-order form
is studied intensively. Based on the harmonic balance principle, which is
widely used in the frequency analysis of nonlinear control systems, a
theoretical approach is used to investigate the conditions of system
parameters under which this fractional-order system can give rise to a
chaotic attractor. Finally, the numerical simulation is used to verify the
validity of the theoretical results. |
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Keywords: | fractional-order system harmonic balance principle Genesio--Tesi system chaos Lur'e system |
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