Directory

Yingfei Yi, Ph.D

Professor, Faculty of Science - Mathematics & Statistical Sciences
Contact Overview Announcements Courses Activities Publications

Contact

Professor, Faculty of Science - Mathematics & Statistical Sciences
Email
yingfei@ualberta.ca
Phone
(780) 492-0215
Address
501 Central Academic Building
11324 - 89 Ave NW
Edmonton AB
T6G 2G1

Overview

Research

My research focuses on Dynamical Systems and Differential Equations, concerning both theoretical developments and applications. Areas I have been working on include Stochastic Differential Equations, Fokker-Planck Equations, Hamiltonian Systems, KAM Theory, Topological Dynamics, Ergodic Theory, Non-automatics Systems, Skew-Product Flows, Singular Perturbations, Mathematical Biology, Bifurcations, Invariant Manifolds Theory, Elliptic Equations, Parabolic Equations, Solitary Equations, and Variational Method. Publication


Announcements

    Annual IUSEP program 

    Courses

    MATH 334 - Ordinary Differential Equations

    First order equations, linear equations of higher order. Power series solution. Laplace transform methods. Introduction to special functions. Introduction to linear systems. Prerequisites: One of MATH 102, 125 or 127, and one of MATH 209, 214 or 217. Note: Credit can be obtained in at most one of MATH 201, MATH 334, MATH 336, or MA PH 251.

    Fall Term 2024

    MATH 524 - Ordinary Differential Equations IIA

    Existence theorems, uniqueness theorems; linear systems (basic theory); stability (basic theory); nonlinear systems (local theory); nonlinear systems (global theory); bifurcations. Prerequisite: MATH 334 or 336, or equivalent.

    Fall Term 2024

    Browse more courses taught by Yingfei Yi

    Scholarly Activities

    Research - Co-Chair, Executive Committee

    Hale Conference Series in Dynamics of Differential Equations

    Research - Co-Editor-in-Chief

    Journal of Dynamics and Differential Equations

    Research - Editor

    Journal of Differential Equations and Dynamical Systems

    Research - Editor

    Differential and Integral Equations

    Research - Handling Editor

    Journal of Differential Equations

    Research - Member, Executive Committee

    Americas Conference Series in Differential Equations and Nonlinear Analysis

    Featured Publications

    Systematic measures of biological networks, Part II: Degeneracy, complexity and robustness

    Y. Li and Y. Yi

    Comm. Pure Appl. Math.. 2016 January; To appear

    Turing points and relaxation oscillation cycles in simple epidemic models

    M. Li, W. Liu, C. Shan, and Y. Yi

    SIAM J. Appl. Math.. 2016 January; 76 (2):663-687

    Interior regularity for regional fractional Laplacian

    C. Mou and Y. Yi

    Comm. Math. Phys.. 2015 January; 340

    Integral identity and measure estimates for stationary Fokker-Planck equations

    W. Huang, M. Ji, Z. Liu, and Y. Yi

    Ann. Probab.. 2015 January; 43 (4):1712-1730

    Viscous stability of quasi-periodic tori

    Z. Liang, J. Yan, and Y. Yi

    Ergod. Th. Dynam. Sys.. 2014 January; 34

    Invariant tori for Hamiltonian systems with high order proper degeneracy

    Y. Han, Y. Li, Y. Li

    Ann. Henri Poincare. 2010 January; 10 (8):1419-1436

    Almost periodically forced circle flow

    W. Huang and Y. Yi

    J. Funct. Anal.. 2009 January; 257 (3):832-902

    Quasi-periodic breathers in Hamiltonian networks of long-range coupling

    J. Geng, J. Viveros, and Y. Yi

    Physica D. 2008 January; 237

    A local variational principle of pressure and its applications to equilibrium states

    W. Huang and Y. Yi

    Israel J. Math.. 2007 January; 161

    Persistence of lower dimensional tori of general types in Hamiltonian systems

    Y. Li and Y. Li

    Trans. Amer. Math. Soc.. 2005 January; 357

    A quasi-periodic Poincare's theorem

    Y. Li and Y. Li

    Math. Annalen. 2003 January; 326

    The cyclicity of period annulus of degenerate quadratic Hamiltonian system with elliptic seg- ment

    S.-N. Chow, C. Li, and Y. Yi

    Ergod. Th. Dynam. Sys.. 2002 January; 22

    Center manifolds of invariant manifolds

    S.-N. Chow, W. Liu, and Y. Yi

    Trans. Amer. Math. Soc.. 2000 January; 352 (11):5179-5211

    Almost automorphic and almost periodic dynamics in skew-product semi-flows

    W. Shen and Y. Yi

    Memoirs Amer. Math. Soc.. 1998 January; 136 (647):1-93

    On minimal sets of scalar parabolic equations with skew-product structure

    W. Shen and Y. Yi

    Trans. Amer. Math. Soc.. 1995 January; 347 (11):4413-4431