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田雪博士

资料来源:      日期:2024年05月07日 10:36     浏览量:

基本信息田雪,女,硕士生导师,2023年毕业于南京理工大学,获得工学博士学位。

研究方向:主要从事分析力学、工程中的数学方法、时间尺度保结构算法等方面的理论研究。

教学工作:承担本科生《高等数学》、《线性代数》、《概率论与数理统计》等课程教学任务。

科研项目:国家自然科学基金青年项目(No. 12302001),安徽省高校自然科学研究项目(No. 2023AH051176)。

科研论文:现已发表学术论文16篇,其中SCI论文12篇。代表性论文成果如下:

  1. Xue Tian,Yi Zhang. Fractional time-scales Noether theorem with Caputo Δ derivatives for Hamiltonian systems,Applied Mathematics and Computation, 2021, 393: 125753.

  2. Yi Zhang, Lin-Jie Zhang,Xue Tian. Conservation laws for systems of non-standard Birkhoffians with fractional derivatives,Communications in Nonlinear Science and Numerical Simulation, 2024, 130: 107722.

    [3]Xue Tian, Yi Zhang. Noether’s theorem for fractional Herglotz variational principle in phase space,Chaos, SolitonsandFractals, 2019, 119: 50-54.

    [4]Xue Tian, Yi Zhang. Caputo Δ-type fractional time-scales Noether theorem of Birkhoffian systems,Acta Mechanica, 2022, 233(11): 4487-4503.

    [5]Xue Tian, Yi Zhang.Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scale,Acta Mechanica, 2018, 229(9): 3601-3611.

    [6]Xue Tian,Yi Zhang.Time-scales Herglotz type Noether theorem for delta derivatives of Birkhoffian systems,Royal Society Open Science, 2019, 6(11): 191248.

    [7]Yi Zhang,Xue Tian. Conservation laws of nonholonomic nonconservative system based on Herglotz variational problem.Physics Letters A, 2019, 383: 691-696.

    [8]Xue Tian,Yi Zhang.A structure-preserving algorithm for time-scale non-shifted Hamiltonian systems,Theoretical and Applied Mechanics Letters, 2022, 12(5): 100368.

    [9]Xue Tian, Yi Zhang.Noether symmetry and conserved quantities of fractional Birkhoffian system in terms of Herglotz variational problem,Communications in Theoretical Physics, 2018, 70(3): 280-288.

    [10]Xue Tian, Yi Zhang. Noether’s theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem.International Journal of Theoretical Physics, 2018, 57(3): 887-897.

    [11] Yi Zhang,Xue Tian.Conservation laws for Birkhoffian systems of Herglotz type.Chinese Physics B, 2018, 27(9): 090502.

    [12]Xue Tian, Yi Zhang. Adiabatic invariants of Herglotz type for perturbed nonconservative Lagrangian systems.Theoretical and Mathematical Physics, 2020, 202(1): 126-135.

    [13]田雪,张毅. CaputoΔ型分数阶时间尺度Noether定理,力学学报, 2021, 53(7): 2010-2022.

联系方式:邮箱:crystaltianxue@126.com