Hilbert’s 16th problem for algebraic limit cycles

Jaume Llibre, Rafael Ramírez

Research output: Chapter in BookChapterResearchpeer-review

Abstract

© Springer International Publishing Switzerland 2016. In this chapter we state Hilbert’s 16th problem restricted to algebraic limit cycles. Namely, consider the set Σ′nn of all real polynomial vector fields χ = (P,Q) of degree n having real irreducible (on ℝ[x, y]) invariant algebraic curves.
Original languageEnglish
Title of host publicationProgress in Mathematics
Pages87-116
Number of pages29
Volume313
ISBN (Electronic)2296-505X
DOIs
Publication statusPublished - 1 Jan 2016

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