MS28* ~ Monday, May 22, 1995 ~ 7:30 PM*
## Numerical Trajectories

Computer modeling of nonlinear systems is a subject of great importance in scientific investigation. Nonlinear dynamical models often contain trajectories that exhibit sensitive dependence on initial conditions. It follows that moderate- to long-time computer simulations of these trajectories are problematic, because of the resulting amplification of discretization errors. The speakers in this minisymposium will focus on a critical question: Is the computer-generated trajectory close to a true trajectory of the system? This is the so-called "shadowing" question. In some cases, the answer hinges on the level and uniformity of hyperbolicity present in the system.
Organizer: Timothy Sauer, George Mason University

**Numerical Shadowing Near Hyperbolic Trajectories**
- Erik S. Van Vleck, Colorado School of Mines
**On the Numerical Solution of the Sine-Gordon Equation**
- Constance Schober, University of Colorado, Boulder
**Bi-Shadowing in Semi-Hyperbolic Systems**
- Alexei Pokrovski, University of Queensland, Australia
**Obstructions to Shadowing When a Lyapunov Exponent Fluctuates About Zero**
- Timothy Sauer, Organizer

*3/15/95*