Mathematical Sciences: Qualitative Analysis of Dynamical    Problems in Nonlinear Mechanics
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt'}
This research program introduces new methods into the study                of dynamical systems and represents a continuation of a program                 established by the principal investigator.  The work is comprised               of three major components:  (1) Global perturbation methods in                  dynamical systems related to nonlinear elasticity and fluid                     mechanics; (2)  Studies of knotted period orbits in forced                      nonlinear oscillators and of the chaotic attracting sets                        exhibited by such systems; (3) Analysis and predictions of the                  power spectra of strange attractors and analyses of the effect of               small noise on such systems.  These studies represent the use of                applied mathematics in understanding properties and behavior of                 mechanical systems.
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