Undergrad Studies
Graduate Studies
Faculty & Staff
Open Positions
Graduate Assistants
News & Events
Alumni & Friends
Course Information
Patrick D McSwiggen
Associate Professor and Assistant Head
839 Old Chemistry Building
513-556-4055
pat.mcswiggen@uc.edu
Education
PhD, University of California, Berkeley, 1990.
AB, University of California, Berkeley, 1981.
Peer Reviewed Publications
K. Meyer (2008). Conjugate phase portraits of linear systems. Amer. Math. Monthly, 115, 581-676.
Meyer, K. (2003). The evolution of invariant manifolds in Hamiltonian-Hopf bifurcations. J. Diff. Equ., 189, 538-555.
(2001). Geometric implications of linearizability. J. Dyn. & Diff. Equ., 13, 133-146.
(2000). Invariant jets of foliations along hyperbolic sets. Ergod. Th. & Dyn. Sys., 20, 1187-1214.
(1998). A geometric characterization of partial linearizability. Mich. Math. J., 45, 3-29.
(1996). A geometric characterization of smooth linearizability. Mich. Math. J., 43, 321-335.
(1995). An inverse function theorem with application to dynamical systems. J. Diff. Equ, 118, 194-217.
(1995). Diffeomorphisms of the k-torus with wandering domains. Erg. Th. Dyn. Sys., 15, 1189-1205.
(1995). Unique integrability of continuous plane fields. Proc. AMS, 123, 1951-1954.
(1993). Diffeomorphisms of the torus with wandering domains. Proc. AMS, 117, 1175-1186.
Invited Presentations
(03-2001). Evolution of invariant manifolds in the restricted 3-body problem. HamSys Conference, Mexico.
(09/22/2000). Evolution of invariant manifolds in the restricted 3-body problem. Midwest Dynamical Systems Conference
(03/22/1997). Numerical calculations for a family of torus maps. Special session: Dynamical Systems and Fractal Geometry, AMS Spring Meeting, Memphis.
(11/17/1996). A Geometric Characterization of Partial Linearizability. Midwest Dynamical Systems Conference
(09/12/1996). A Geometric Characterization of Smooth Linearizability. Colloquium, U. Western Ontario
(08/22/1996). A Geometric Characterization of Smooth Linearizability. Colloquium, Colorado State U..
(05/09/1995). A Geometric Characterization of Smooth Linearizability. Seminar, Northwestern Univ..
(03/17/1995). A Geometric Characterization of Smooth Linearizability. AMS Spring Meeting, Orlando.
(03-1993). Diffeomorphisms of the Torus with Wandering Domains. Colloquium, Colorado State U..
(04-1991). The Dynamics of Circle Maps. Taft Postdoctoral Lecture, U. Cincinnati.
(03-1991). Diffeomorphisms of the Torus with Wandering Domains. Midwest Dynamical Systems Conference
(02-1991). Diffeomorphisms of the Torus with Wandering Domains. Colloquium, U. Cincinnati.
(01-1991). An Inverse Function Theorem with Application to Dynamical Systems. AMS Winter Meeting
(01-1991). A Dynamicists’ View of The Calculus. Colloquium, Oberlin College.
(10-1990). Filling in Stable Laminations. Midwest Dynamical Systems Conference
(09-1990). Filling in Stable Laminations. Seminar, U. C. Berkeley.
(04-1990). Infinitesimal Foliations. Colloquium, Wright State U..
(10-1989). Invariant Sets and Invariant Manifolds. Colloquium, U. Cincinnati.
(09-1988). Jets of Foliations along Stable Manifolds. Seminar, U. C. Berkeley.
