研究方向 時滯系統動力學建模與積分理論研究 時間尺度上變分問題與對稱性研究 分數階變分問題與對稱性研究 Birkhoff系統動力學 非完整系統動力學 科研項目 國家自然科學基金面上項目, 12472002, 隨機約束力學系統的變分問題及其對稱性研究, 2025-01-01 至 2028-12-31,在研,主持 國家自然科學基金青年項目, 12002228, 時滯Birkhoff系統動力學建模及其積分方法研究, 2021-01-01 至 2023-12-31, 已結題,主持 國家自然科學基金面上項目, 52178294, 基于多重流體慣容TLMCD的近海風電塔架多災害減振機理與設計方法研究, 2022-01-01 至 2025-12-31, 在研,參與 國家自然科學基金面上項目, 12172241, Birkhoff系統攝動理論研究, 2022-01-01 至 2025-12-31, 在研,參與 國家自然科學基金面上項目, 11972241, 時間尺度上非遷移變分問題及其對稱性與保結構算法研究, 2020-01-01 至 2023-12-31, 在研,參與 國家自然科學基金面上項目,Birkhoff系統動力學的若干問題研究(10972151)、基于分數階模型的約束力學系統變分問題與對稱性研究(11272227)、時間尺度上約束力學系統變分問題及其對稱性研究(11572212),已結題,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) |