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
Elementary existence and uniqueness theorems. Systems of equations, stability, perturbation theory. Introduction to numerical methods. Introduction to phase plane analysis. Prerequisite: One of MATH 201, 334 or 336.
Fall Term 2020Existence 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 2020Differential and Integral Equations