| 分数阶对称金融模型复杂度分析及有限时间同步 |
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| 引用本文： | 那格思,赵海燕.分数阶对称金融模型复杂度分析及有限时间同步[J].应用力学学报,2021(1):418-424. |
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| 作者姓名： | 那格思 赵海燕 |
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| 作者单位： | 澳洲国立大学商业与经济学院;上海工程技术大学管理学院 |
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| 基金项目： | 上海市教科委项目(19692103200)。 |
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| 摘 要： | 分析了一类分数阶对称金融非线性系统的复杂度特性,利用有限时间同步理论设计控制器,实现了有限时间同步。根据分数阶系统定义和Adomain分解法对该系统的非线性项进行Adomain分解,结合分解系数定义系统的表达式,将其离散化。基于谱熵复杂度及C0复杂度的基本算法,利用Matlab仿真其复杂度曲线及复杂度图谱。为进一步探究对称金融非线性系统的动力学特性,利用有限时间同步理论设计误差控制器,实现有限时间同步,仿真结果表明该控制器可使系统在极短的时间内实现同步且鲁棒性好。
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| 关 键 词： | 分数阶微积分 金融非线性系统 复杂度 有限时间同步 |
Complexity analysis and finite time synchronization of fractional symmetric financial models |
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| Na Gesi,Zhao Haiyan.Complexity analysis and finite time synchronization of fractional symmetric financial models[J].Chinese Journal of Applied Mechanics,2021(1):418-424. |
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| Authors: | Na Gesi Zhao Haiyan |
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| Affiliation: | (School of Business and Economics,Australian National University Australia,2600-2601,Canberra,Australia;Shanghai University of Engineering Science Shanghai,School of Management,201620,Shanghai,China) |
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| Abstract: | In this paper, the complexity characteristics of a class of fractional order symmetric financial nonlinear systems are analyzed. According to the definition of fractional order system and Adomain decomposition method, the nonlinear terms of the system are decomposed by Adomain’s method. Based on the basic algorithm of spectral entropy complexity and C0 complexity, the Matlab is used to simulate its complexity curve and complexity spectrum. In order to further explore the dynamic characteristics of symmetric financial nonlinear system, the finite time synchronization theory is used to design the error controller and realize the finite time synchronization. The simulation results show that the controller can realize the synchronization of the system in a very short time with good robustness. |
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| Keywords: | fractional calculus financial nonlinear system complexity finite time synchronization |
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