On the nonexistence of exact periodic solutions in a class of fractional-order dynamical systems

来源 :第十届全国动力学与控制学术会议 | 被引量 : 0次 | 上传用户:lvbocai
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With the tool of Fourier series expansion,it is proved that there is no nonzero exact periodic solution in a class of the Riemann-Liouville fractional-order initial-valued systems (including the autonomous system as special case),and it is also proved that there is no non-constant exact periodic solution in a class of the Caputo fractional-order systems (including the autonomous system).
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