Research in Nonlinear Systems.
Abstract
There were no charges levied on this grant during the first year 9-1-93 to 8-31-94. The monies were used in academic year 1994-5 to support two PhD students, each in the final year of study and both working jointly with the PI on this grant, Philip Holmes, as well as John L. Lumley and Gal Berkooz. (The latter was Holmes PhD student, who graduated in 1991.) The students and their general research areas are as follows: Brianno Coller (Theoretical and Applied Mechanics): Control of nonlinear dynamical systems with heteroclinic cycles. The first paper on controlling heteroclinic cycles has appeared (1). A second paper (2), the text of an invited presentation at the Twelfth U.S. Congress on Applied Mechanics, appeared in mid 1994. In it we extend the methods for control of strongly nonlinear symmetric ODEs having heteroclinic cycles, developed earlier, to higher dimensional systems which provide more realistic models of the turbulent boundary layer. In Spring 1995 we completed a more extensive paper () in which we describe the use of optimal control theory in designing an algorithm to delay 'bursting' (transit of heteroclinic cycles) in a fairly general class of symmetric systems, which includes those appearing in low dimensional models of the turbulent boundary layer. In addition, Coller improved the analysis in (1) controlling vector fields and white noise perturbations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1995
- Accession Number
- ADA311112
Entities
People
- Phillip Holmes
Organizations
- Cornell University