研究方向 時(shí)滯系統(tǒng)動(dòng)力學(xué)建模與積分理論研究 時(shí)間尺度上變分問題與對(duì)稱性研究 分?jǐn)?shù)階變分問題與對(duì)稱性研究 Birkhoff系統(tǒng)動(dòng)力學(xué) 非完整系統(tǒng)動(dòng)力學(xué) 科研項(xiàng)目 國(guó)家自然科學(xué)基金面上項(xiàng)目, 12472002, 隨機(jī)約束力學(xué)系統(tǒng)的變分問題及其對(duì)稱性研究, 2025-01-01 至 2028-12-31，在研，主持 國(guó)家自然科學(xué)基金青年項(xiàng)目, 12002228, 時(shí)滯Birkhoff系統(tǒng)動(dòng)力學(xué)建模及其積分方法研究, 2021-01-01 至 2023-12-31, 已結(jié)題，主持 國(guó)家自然科學(xué)基金面上項(xiàng)目, 52178294, 基于多重流體慣容TLMCD的近海風(fēng)電塔架多災(zāi)害減振機(jī)理與設(shè)計(jì)方法研究, 2022-01-01 至 2025-12-31, 在研，參與 國(guó)家自然科學(xué)基金面上項(xiàng)目, 12172241, Birkhoff系統(tǒng)攝動(dòng)理論研究, 2022-01-01 至 2025-12-31, 在研，參與 國(guó)家自然科學(xué)基金面上項(xiàng)目, 11972241, 時(shí)間尺度上非遷移變分問題及其對(duì)稱性與保結(jié)構(gòu)算法研究, 2020-01-01 至 2023-12-31, 在研，參與 國(guó)家自然科學(xué)基金面上項(xiàng)目，Birkhoff系統(tǒng)動(dòng)力學(xué)的若干問題研究（10972151）、基于分?jǐn)?shù)階模型的約束力學(xué)系統(tǒng)變分問題與對(duì)稱性研究（11272227）、時(shí)間尺度上約束力學(xué)系統(tǒng)變分問題及其對(duì)稱性研究（11572212），已結(jié)題，參與 代表性論著 [1]Zhai Xiang-Hua, Zhang Yi. Noether symmetries and conserved quantities for Birkhoffian systems with time delay. Nonlinear Dynamics. 2014, 77(1-2): 73-86. (WOS:000337050800007) [2]Zhai Xiang-Hua, Zhang Yi. Noether symmetries and conserved quantities for fractional Birkhoffian systems with time delay. Communications in Nonlinear Science and Numerical Simulation. 2016, 36: 81-97. (WOS:000370005100008) [3]Zhai Xiang-Hua, Zhang Yi. Noether theorem for non-conservative systems with time delay on time scales. Communications in Nonlinear Science and Numerical Simulation. 2017, 52: 32-43. (WOS:000403514500004) [4]Zhai Xiang-Hua, Zhang Yi. Hamilton-Jacobi method for mechanical systems on time scales. Complexity. 2018, 2018：8070658. (WOS:000443631500001) [5]Zhai Xiang-Hua, Zhang Yi. Conservation laws for a delayed Hamiltonian system in a time scales version. Symmetry, 2018, 10(12): 668. (WOS:000454725100006) [6]Zhai Xiang-Hua, Zhang Yi. Lie symmetry analysis on time scales and its application on mechanical systems. Journal of Vibration and Control. 2019, 25(3):581-592. (WOS:000456532600010) [7]Zhai Xiang-Hua; Zhang Yi. Mei symmetry of time-scales Euler–Lagrange equations and its relation to Noether symmetry. Acta Physica Polonica A. 2019, 136(3): 439-443. (WOS:000495445400009) [8]Zhai Xiang-Hua; Zhang Yi. Noether-type conserved quantities on time scales for Birkhoffian systems with delayed arguments. Proceedings of the National Academy of Sciences, India, Section A: Physical Sciences, 2021, 91(1): 21-28. (WOS:000631745500001) |
