题 目：Dynamic analysis of two kinds of fractional-ordersystems

主讲人：郑松教授

时 间：2022年5月26日（周四）13：30-14：30

地 点：6号学院楼500会议室

主办单位：数据科学学院 浙江省2011“数据科学与大数据分析协同创新中心”

摘要：

A three-dimensional fractional-order discrete Hopfield neural network (FODHNN)in the left Caputo discrete delta’s sense is proposed, the dynamic behavior and synchronization of FODHNN are studied. First, FODHNN is shown to exhibit rich nonlinear dynamics behaviors. Phase portraits, bifurcation diagrams and Lyapunov exponents are carried out to verify chaotic dynamics in this system. Moreover, by using stability theorem of FO discrete linear systems, a suitable control scheme is designed to achieve synchronization of the FODHNN.

A three-dimensionalfractional-ordercontinuousfinancial system isconstructed. The rich dynamic behaviors of the fractional-order financial system with variations of fractional orders and parameters are discussed in detail by numerical tools including phase portraits, bifurcation diagrams, maximum Lyapunov exponent diagrams, complexity diagrams,p-splots by 0-1 test and time series. It is confirmed that the fractional-order and the amount of savings have important influence on the dynamic characteristics of the financial nonlinear system. In addition, a synchronization controller and a parameter update law are designed to synchronize two fractional-order chaotic financial systems and identify the unknown parameters in a finite time simultaneously.

主讲人简介：

郑松，教授，博士，硕士生导师。美国加州大学墨塞德分校访问学者。主要研究兴趣包括动力学与控制、复杂网络建模、分析与一致性、微分方程及其应用等。担任国际期刊Frontiers in Physics、Frontiers inApplied Mathematics and Statistics的Associate Editor、Fractal and Fractional的Guest Editor、中国自动化学会分数阶系统与控制专业委员会委员。主持国家自然科学基金青年项目和浙江省自然科学基金探索项目等4项省部级以上科研项目。在国内外重要学术期刊上发表SCI论文60余篇。

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