題 目：Dynamic analysis of two kinds of fractional-ordersystems
主講人：鄭松教授
時(shí) 間：2022年5月26日（周四）13：30-14：30
地 點(diǎn)：6號(hào)學(xué)院樓500會(huì)議室
主辦單位：新葡萄8883官網(wǎng)AMG 浙江省2011“數(shù)據(jù)科學(xué)與大數(shù)據(jù)分析協(xié)同創(chuàng)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.
主講人簡(jiǎn)介：
鄭松，教授，博士，碩士生導(dǎo)師。美國(guó)加州大學(xué)墨塞德分校訪問學(xué)者。主要研究興趣包括動(dòng)力學(xué)與控制、復(fù)雜網(wǎng)絡(luò)建模、分析與一致性、微分方程及其應(yīng)用等。擔(dān)任國(guó)際期刊Frontiers in?Physics、Frontiers inApplied Mathematics and Statistics的Associate Editor、Fractal and Fractional的Guest Editor、中國(guó)自動(dòng)化學(xué)會(huì)分?jǐn)?shù)階系統(tǒng)與控制專業(yè)委員會(huì)委員。主持國(guó)家自然科學(xué)基金青年項(xiàng)目和浙江省自然科學(xué)基金探索項(xiàng)目等4項(xiàng)省部級(jí)以上科研項(xiàng)目。在國(guó)內(nèi)外重要學(xué)術(shù)期刊上發(fā)表SCI論文60余篇。
歡迎各位老師和同學(xué)踴躍參加！
