Carmen has published two books and over 90 research articles. Research interests are in the areas of dynamical systems and applied mathematics. Personal hobbies include woodworking and fishing.
Education
Ph.D., University of Wisconsin 1977
Frequently Taught Courses
MATH 4540/7540. Mathematical Modeling I
MathSciNet Links
authored by Carmen Chicone
reviewed by Carmen Chicone
Select Publications
General Relativity Papers on arXiv
Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates
Significance of c/sqrt(2) in Relativistic Physics
Black Holes and Ultrarelativistic Particles
Tidal Dynamics of Relativistic Flows Near Black Holes
Dynamics of Relativistic Flows
The Generalized Jacobi Equation
Acceleration-Induced Nonlocality: Uniqueness of the Kernel
...and others
General Relativity
Sustained resonance: a binary system perturbed by gravitational radiation
Gravitational Ionization: Periodic Orbits of Binary Systems Perturbed by Gravitational Radiation
Acceleration-induced nonlocality: kinetic memory versus dynamic memory
The generalized Jacobi equation
Delay equations and radiation damping
What are the equations of motion of classical physics?
Ordinary Differential Equations
Synchronization phenomena for coupled delay-line oscillators
A geometric approach to regular perturbation theory with an application to hydrodynamics
Linearization via the Lie derivative
On the continuation of an invariant torus in a family with rapid oscillations
Bifurcations of nonlinear oscillations and frequency entrainment near resonance
Periodic solutions of a system of coupled oscillators near resonance
Invariant tori for periodically perturbed oscillators
Periodic orbits of coupled oscillators near resonance
On the continuation of periodic orbits
Inertial and slow manifolds for delay equations with small delays
Inertial flows, slow flows, and combinatorial identities for delay equations (New)
Asymptotic Phase Revisited (Revised 12/23/03)
Other
Flat embeddings of the Mobius strip
Distortion Minimal Morphing I: The Theory For Stretching (3 November 2005)
A delay differential equation model for surface acoustic wave sensors