Carmen Chicone

Emeritus Professor

Research Interests:

Address:

Mathematical Sciences Building

Email:

Office Hours:

NA

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
- Chaos in the Hill system
- 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
- Chaos in the Kepler system
- 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
- Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of Periodic Solutions in coupled oscillators
- 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**