Isochronicity for trivial quintic and septic planar polynomial hamiltonian systems

Francisco Braun, Jaume Llibre, Ana C. Mereu

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

In this paper we completely characterize trivial polynomial Hamiltonian isochronous centers of degrees 5 and 7. Precisely, we provide simple formulas, up to linear change of coordinates, for the Hamiltonians of the form H = (f21 + f22)/2, where f = (f1, f2) : R2 → R2 is a polynomial map with det Df = 1, f(0, 0) = (0; 0) and the degree of f is 3 or 4.
Original languageEnglish
Pages (from-to)5245-5255
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume36
Issue number10
DOIs
Publication statusPublished - 1 Oct 2016

Keywords

  • Isochronous centers
  • Jacobian conjecture
  • Polynomial Hamiltonian systems

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