Phase portrait of Hamiltonian systems with homogeneous nonlinearities

Armengol Gasull, Antoni Guillamon, Victor Mañosa

Research output: Contribution to journalArticleResearchpeer-review

12 Citations (Scopus)

Abstract

The phase portraits of Hamiltonian systems of the form (1), where H(x,y) = (x2+y2)/2+Hn+1(x,y), and Hn+1 is a homogeneous polynomial of degree n+1. The solutions of system (1) are contained in the level curves {H(x,y) = h, h∈R}. Furthermore, the origin is a nondegenerate center.
Original languageEnglish
Pages (from-to)679-707
JournalNonlinear Analysis, Theory, Methods and Applications
Volume42
DOIs
Publication statusPublished - 1 Jan 2000

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