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时不变分数阶系统反周期解的存在性

杨绪君 宋乾坤

杨绪君, 宋乾坤. 时不变分数阶系统反周期解的存在性[J]. 应用数学和力学, 2014, 35(6): 684-691. doi: 10.3879/j.issn.1000-0887.2014.06.010
引用本文: 杨绪君, 宋乾坤. 时不变分数阶系统反周期解的存在性[J]. 应用数学和力学, 2014, 35(6): 684-691. doi: 10.3879/j.issn.1000-0887.2014.06.010
YANG Xu-jun, SONG Qian-kun. On the Existence of Anti-Periodic Solutions in Time-Invariant Fractional Order Systems[J]. Applied Mathematics and Mechanics, 2014, 35(6): 684-691. doi: 10.3879/j.issn.1000-0887.2014.06.010
Citation: YANG Xu-jun, SONG Qian-kun. On the Existence of Anti-Periodic Solutions in Time-Invariant Fractional Order Systems[J]. Applied Mathematics and Mechanics, 2014, 35(6): 684-691. doi: 10.3879/j.issn.1000-0887.2014.06.010

时不变分数阶系统反周期解的存在性

doi: 10.3879/j.issn.1000-0887.2014.06.010
基金项目: 国家自然科学基金(61273021);重庆市自然科学基金(重点)(CQcstc2013jjB40008)
详细信息
    作者简介:

    杨绪君(1989—),男,江苏徐州人,硕士生(E-mail: xujunyangcquc@163.com)

  • 中图分类号: O175.13

On the Existence of Anti-Periodic Solutions in Time-Invariant Fractional Order Systems

Funds: The National Natural Science Foundation of China(61273021)
  • 摘要: 反周期解问题是非线性微分系统动力学的重要特征.近年来,非线性整数阶微分系统的反周期解问题得到了广泛的研究,非线性分数阶微分系统的反周期解问题也得到了初步的讨论.不同于已有的工作,该文研究时不变分数阶系统反周期解的存在性问题.证明了时不变分数阶系统在有限时间区间内不存在反周期解,而当分数阶导数的下限趋近于无穷大时,时不变分数阶系统却存在反周期解.
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出版历程
  • 收稿日期:  2014-03-24
  • 修回日期:  2014-05-06
  • 刊出日期:  2014-06-11

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