### Tuesday, May 20

10:00 AM-12:00 PM
*Wasatch A & B - Level C*

## MS27

Slow Evolution in Conservative Systems

A common paradigm for the description of physical systems is that of a slow evolution through families of relatively simple states, like equilibrium states or states of periodic motion. The mathematical foundation for approximating this evolution is fairly well established if the underlying systems are dissipative. There are numerous examples, however, for which the underlying systems are conservative. The mathematical foundations for approximating the slow evolution are not well established in this case, except for one-degree-of-freedom systems, where the method of averaging is
effective. This minisymposium is intended to describe what is presently known and to present physically important examples, including those in which the simple states undergo a transition from stable to unstable, illustrating the mathematical complexities that can arise in these contexts.

**Organizer: Norman R. Lebovitz**

*University of Chicago *

**10:00 Slow Evolution Near Families of Stable Equilibria of Hamiltonian Systems**
- Norman R. Lebovitz, Organizer
**10:30 Weakly Unstable Systems in the Presence of Neutrally Stable Modes**
- John D. Crawford, University of Pittsburgh
**11:00 (Cancelled) Some Experiments on Nonstationary Vibrations in a Single Degree-of-Freedom Nonlinear Systems**
*Anil K. Bajaj*, Mark Hood, and Patricia Davies, Purdue University
**11:30 Accurate Phase After Slow Passage Through Subharmonic Resonance**
- Jerry D. Brothers, Raytheon E-Systems; and
*Richard Haberman*, Southern Methodist University

DS97 Homepage | Program Updates|

Registration | Hotel Information | Transportation | Program-at-a-Glance | Program Overview

*TMP, 4/3/97*

*MMD, 5/9/97*