Linear type centers of polynomial hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis

Jaume Llibre, Y. Paulina Martínez, Claudio Vidal

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

We provide the phase portraits in the Poincare disk for all the linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the y-axis given by the Hamiltonian function H(x, y) = 1/2 (x2 + y2) + ax4y + bx2y3 + cy5 in function of its parameters.
Original languageEnglish
Pages (from-to)887-912
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume23
Issue number2
DOIs
Publication statusPublished - 1 Mar 2018

Keywords

  • Hamiltonian systems
  • Linear type centers
  • Phase portraits
  • Polynomial vector fields
  • Quartic polynomial

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