Period Function and Normalizers of Vector Fields in Rn with n-1 First Integrals Articles uri icon

authors

  • PERALTA SALAS, DANIEL

publication date

  • March 2008

start page

  • 1287

end page

  • 1303

issue

  • 6

volume

  • 244

International Standard Serial Number (ISSN)

  • 0022-0396

Electronic International Standard Serial Number (EISSN)

  • 1090-2732

abstract

  • We extend the theory that relates period function, normalizers and first integrals, which has been widely developed in , to any dimension. In particular, we show how to find n−1 independent normalizers of vector fields in with n−1 independent first integrals. A formula for the derivatives of the period function is obtained and a necessary and sufficient condition for isochronicity is also proved. These results generalize previous works of Freire, Gasull and Guillamon, Sabatini and Villarini.