Study of Nonlinear Dynamical Systems
{'Code': '07030000', 'Directorate': {'Abbreviation': 'ENG', 'LongName': 'Directorate For Engineering'}, 'Division': {'Abbreviation': 'CMMI', 'LongName': 'Div Of Civil, Mechanical, & Manufact Inn'}}
{'SignBlockName': 'Elbert L. Marsh', 'PO_EMAI': None, 'PO_PHON': None}
The research consists of four parts.  In the first, nonlinear                   dynamical systems with internal resonance is studied for all                    values of the system parameters so as to get information                        regarding  qualitatively different physical phenomena including                 chaotic phenomena  that can occur in such systems.  In the second               part, Silnikov theory  for four dimensional systems is studied by               explicitly computing  approximations of the maps.  In the third                 part global phenomena   is studied in the case of certain                       physical systems that tend to develop  chaotic behavior.  The                   fourth part consists of a small experimental  program in which                  critical experiments are done as a guide to the  theoretical                    work.  This project is largely theoretical but may lead to new                  insights in the behavior of dynamical systems.  Some of the work                has a bearing on understanding of forced gravity waves on a fluid               surface.  Other findings may have relevance to additional                       engineering issues of immediate concern.
{'FirstName': 'P.', 'LastName': 'Sethna', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'P. R Sethna', 'EmailAddress': None, 'NSF_ID': '000322235', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Minnesota-Twin Cities', 'CityName': 'MINNEAPOLIS', 'ZipCode': '554552009', 'PhoneNumber': '6126245599', 'StreetAddress': '200 OAK ST SE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Minnesota', 'StateCode': 'MN', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'MN05', 'ORG_UEI_NUM': 'KABJZBBJ4B54', 'ORG_LGL_BUS_NAME': 'REGENTS OF THE UNIVERSITY OF MINNESOTA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1445', 'Text': 'DYNAMICS & CONTROL'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701382.xml'}