Mathematical Sciences: Qualitative Analysis of Certain      Singularly Perturbed Differential Equations
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This work will extend recent work by Cronin on singularly                  perturbed equations which model a physiological system.  The                    model, which is due to Noble, is a system of four nonlinear                     autonomous ordinary differential equations which describe the                   cardiac Purkinje fiber.  The present research will use geometric                analysis to determine intervals of parameter values for which the               existence of a periodic solution can be established.  The work                  will also consider other singularly perturbed equations in the                  areas of control and semiconductor theory for which the geometric               approach is relevant.
{'FirstName': 'Roosevelt', 'LastName': 'Gentry', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Roosevelt Gentry', 'EmailAddress': 'roosevelt.gentry@jsums.edu', 'NSF_ID': '000355054', 'StartDate': '07/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Jackson State University', 'CityName': 'JACKSON', 'ZipCode': '392170002', 'PhoneNumber': '6019792008', 'StreetAddress': '1400 J R LYNCH ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Mississippi', 'StateCode': 'MS', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'MS02', 'ORG_UEI_NUM': 'WFVHMSF6BU45', 'ORG_LGL_BUS_NAME': 'JACKSON STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
[{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '912000', 'Text': 'CROSS-DIRECTORATE PROGRAMS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8811032.xml'}