Ms. Xiufang Ren | Anxiety Disorders | Interdisciplinary Innovation Prize  

Ms. Xiufang Ren has cultivated a strong foundation in mathematics through her academic journey, specializing in advanced theoretical frameworks and their interdisciplinary applications. Her education emphasized rigorous training in partial differential equations, dynamical systems, and classical mechanics. This academic preparation equipped her with the analytical and problem-solving skills necessary to tackle complex challenges in fields such as robotics, neuroscience, and traffic systems. Her ability to integrate mathematical theories like KAM theory and bifurcation theory into practical applications reflects the depth and versatility of her educational experience.

Work Experience 💼:

Ms. Xiufang Ren currently serves as an Associate Professor at Nanjing Agricultural University, where she contributes significantly to the advancement of interdisciplinary research in mathematics. Her experience spans exploring quasi-periodic solutions of partial differential equations, reducibility of dynamical systems, and their applications in various domains such as robotics, neural networks, and high-dimensional mechanical systems. Ms. Ren has authored multiple research articles in prestigious journals, showcasing her expertise in utilizing mathematical frameworks like KAM theory, bifurcation theory, and operator theory to address complex real-world problems in physics, engineering, and biology.

Awards and Honors 🏆

Ms. Xiufang Ren has demonstrated exceptional dedication to interdisciplinary research, earning recognition for her innovative contributions to applied mathematics and its applications. Although specific awards and honors are not listed, her impactful work in applying mathematical theories to complex systems like neural networks, robotic systems, and lattice models highlights her expertise and commitment to advancing knowledge in her field. Her publications in reputed journals underscore her scholarly achievements and potential for future accolades.

Research Interests:

Ms. Xiufang Ren’s research interests lie at the intersection of applied mathematics and interdisciplinary innovation. She focuses on quasi-periodic solutions of partial differential equations and the reducibility of dynamical systems. Her work extends to the study of quasi-lower-dimensional lattice models in biology, physics, engineering, and mechanics. A significant part of her research involves applying advanced mathematical theories, such as KAM theory, bifurcation theory, and operator theory, to robotic systems, neural networks, Hamiltonian systems, and Euler-Lagrange mechanics. Additionally, she explores classical mechanics, renormalization theory, and their flexible applications to model and control high-dimensional mechanical systems.

📚 Publications 

• Title: Analysis of Resting-State Functional Brain Network in Schizophrenia Patients Based on Graph Theory
  • Authors: Ren, X., Luo, J.
  • Journal: Chinese Journal of Medical Physics
  • Year: 2024
  • Volume/Issue: 41(7), pp. 821–827
  • Cited by: 0
• Title: Response Solutions for a Kind of Quasi-Periodic Forced Neuron System
  • Authors: Ren, X., Lu, Y., Luo, J., Zeng, X.
  • Journal: Chaos, Solitons and Fractals
  • Year: 2024
  • Volume: 179, Article ID 114411
  • Cited by: 0
• Title: A Revised PDE for Traffic Lattice Model
  • Authors: Ren, X., Zhao, S.
  • Conference Proceedings: Advances in Transdisciplinary Engineering
  • Year: 2023
  • Volume: 42, pp. 808–813
  • Cited by: 0
• Title: Reducibility for a Class of Quasi-Periodic Linear Schrödinger Equations and Its Application
  • Authors: Ren, X., Zhao, S.
  • Journal: Nonlinear Dynamics
  • Year: 2023
  • Volume/Issue: 111(22), pp. 21207–21239
  • Cited by: 0
• Title: Reducibility of Quasi-Periodic Linear KdV Equation
  • Authors: Geng, J., Ren, X., Yi, Y.
  • Journal: Journal of Dynamics and Differential Equations
  • Year: 2022
  • Volume/Issue: 34(1), pp. 271–310
  • Cited by: 2
• Title: Multi-Mode Solitons in a Long-Short Range Traffic Lattice Model with Time Delay
  • Authors: Ren, X., Zhao, S.
  • Journal: Nonlinear Dynamics
  • Year: 2021
  • Volume/Issue: 103(2), pp. 1869–1889
  • Cited by: 7
• Title: Quasi-Periodic Solutions with Prescribed Frequency in Reversible Systems
  • Authors: Ren, X.
  • Journal: Journal of Dynamics and Differential Equations
  • Year: 2014
  • Volume/Issue: 26(3), pp. 493–515
  • Cited by: 3
• Title: Quasi-Periodic Solutions of 1D Nonlinear Schrödinger Equation with a Multiplicative Potential
  • Authors: Ren, X.
  • Journal: Taiwanese Journal of Mathematics
  • Year: 2013
  • Volume/Issue: 17(6), pp. 2191–2211
  • Cited by: 1
• Title: Lower Dimensional Invariant Tori with Prescribed Frequency for the Nonlinear Schrödinger Equation
  • Authors: Ren, X., Geng, J.
  • Journal: Nonlinear Analysis, Theory, Methods and Applications
  • Year: 2013
  • Volume: 92, pp. 30–46
  • Cited by: 3
• Title: Quasi-Periodic Solutions with Prescribed Frequency in a Nonlinear Schrödinger Equation
  • Authors: Ren, X.-F.
  • Journal: Science China Mathematics
  • Year: 2010
  • Volume/Issue: 53(12), pp. 3067–3084
  • Cited by: 4

Conclusion