## Recent 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)