Mathematical Sciences: Computational Research on Dynamical  Systems
{'Code': '03040109', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alvin I. Thaler', 'PO_EMAI': None, 'PO_PHON': None}
This project supports resear5ch in dynamical systems with                  significant emphasis on computation.  The specific projects                     discussed in the proposal are:                                                       1.  Hilbert's 16th Problem:  Numerical and symbolic                        computations to obtain bounds on the number of limit cycles                     possessed by polynomial vector fields in the plane.                                  2.  Dynamical studies of vector fields derived from                        equations of fluid boundary layers.                                                  3.  The implementation of perturbation methods for ordinary                differential equations problems using MACSYMA.                                       4.  The study of multiparameter systems of differential                    equations near points of multiple bifurcation.                                       5.  Numerical studies of the complex Henon mapping,                        holomorphic diffeomorphism of complex two space.                                     6.  Symbolic computation of polynomial knot invariants                     associated to periodic orbits of three dimensional flows.                            More broadly, the project will support the development of                  algorithms and efficient computing environments for the studies                 of dynamical systems.
[{'FirstName': 'Philip', 'LastName': 'Holmes', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Philip J Holmes', 'EmailAddress': 'pholmes@princeton.edu', 'NSF_ID': '000167431', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Richard', 'LastName': 'Rand', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard H Rand', 'EmailAddress': 'rhr2@cornell.edu', 'NSF_ID': '000166062', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'John', 'LastName': 'Guckenheimer', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John M Guckenheimer', 'EmailAddress': 'jmg16@cornell.edu', 'NSF_ID': '000360178', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'John', 'LastName': 'Hubbard', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John H Hubbard', 'EmailAddress': 'jhh8@cornell.edu', 'NSF_ID': '000476638', 'StartDate': '09/01/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Cornell University', 'CityName': 'ITHACA', 'ZipCode': '148502820', 'PhoneNumber': '6072555014', 'StreetAddress': '341 PINE TREE RD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '19', 'CONGRESS_DISTRICT_ORG': 'NY19', 'ORG_UEI_NUM': 'G56PUALJ3KT5', 'ORG_LGL_BUS_NAME': 'CORNELL 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': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8705581.xml'}