Matches in SemOpenAlex for { <https://semopenalex.org/work/W2169760327> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2169760327 endingPage "76" @default.
- W2169760327 startingPage "69" @default.
- W2169760327 abstract "We study the stratum in the set of all quadratic differential systems x˙=P2(x,y), y˙=Q2(x,y) with a center, known as the codimension-four case Q4. It has a center and a node and a rational first integral. The limit cycles under small quadratic perturbations in the system are determined by the zeros of the first Poincaré–Pontryagin–Melnikov integral I. We show that the orbits of the unperturbed system are elliptic curves, and I is a complete elliptic integral. Then using Picard–Fuchs equations and the Petrov's method (based on the argument principle), we set an upper bound of eight for the number of limit cycles produced from the period annulus around the center." @default.
- W2169760327 created "2016-06-24" @default.
- W2169760327 creator A5029138771 @default.
- W2169760327 creator A5075702785 @default.
- W2169760327 date "2009-09-01" @default.
- W2169760327 modified "2023-09-30" @default.
- W2169760327 title "Quadratic perturbations of quadratic codimension-four centers" @default.
- W2169760327 cites W1513892197 @default.
- W2169760327 cites W1585821386 @default.
- W2169760327 cites W1982717554 @default.
- W2169760327 cites W1987344369 @default.
- W2169760327 cites W1998762702 @default.
- W2169760327 cites W2003785155 @default.
- W2169760327 cites W2011741759 @default.
- W2169760327 cites W2021867589 @default.
- W2169760327 cites W2327384365 @default.
- W2169760327 doi "https://doi.org/10.1016/j.jmaa.2009.04.004" @default.
- W2169760327 hasPublicationYear "2009" @default.
- W2169760327 type Work @default.
- W2169760327 sameAs 2169760327 @default.
- W2169760327 citedByCount "46" @default.
- W2169760327 countsByYear W21697603272012 @default.
- W2169760327 countsByYear W21697603272013 @default.
- W2169760327 countsByYear W21697603272014 @default.
- W2169760327 countsByYear W21697603272015 @default.
- W2169760327 countsByYear W21697603272016 @default.
- W2169760327 countsByYear W21697603272017 @default.
- W2169760327 countsByYear W21697603272018 @default.
- W2169760327 countsByYear W21697603272019 @default.
- W2169760327 countsByYear W21697603272020 @default.
- W2169760327 countsByYear W21697603272021 @default.
- W2169760327 countsByYear W21697603272022 @default.
- W2169760327 countsByYear W21697603272023 @default.
- W2169760327 crossrefType "journal-article" @default.
- W2169760327 hasAuthorship W2169760327A5029138771 @default.
- W2169760327 hasAuthorship W2169760327A5075702785 @default.
- W2169760327 hasBestOaLocation W21697603271 @default.
- W2169760327 hasConcept C129844170 @default.
- W2169760327 hasConcept C134306372 @default.
- W2169760327 hasConcept C150936888 @default.
- W2169760327 hasConcept C151201525 @default.
- W2169760327 hasConcept C179603306 @default.
- W2169760327 hasConcept C185592680 @default.
- W2169760327 hasConcept C202444582 @default.
- W2169760327 hasConcept C2524010 @default.
- W2169760327 hasConcept C2778433361 @default.
- W2169760327 hasConcept C2779463800 @default.
- W2169760327 hasConcept C33923547 @default.
- W2169760327 hasConcept C59822182 @default.
- W2169760327 hasConcept C8010536 @default.
- W2169760327 hasConcept C83979697 @default.
- W2169760327 hasConcept C86803240 @default.
- W2169760327 hasConceptScore W2169760327C129844170 @default.
- W2169760327 hasConceptScore W2169760327C134306372 @default.
- W2169760327 hasConceptScore W2169760327C150936888 @default.
- W2169760327 hasConceptScore W2169760327C151201525 @default.
- W2169760327 hasConceptScore W2169760327C179603306 @default.
- W2169760327 hasConceptScore W2169760327C185592680 @default.
- W2169760327 hasConceptScore W2169760327C202444582 @default.
- W2169760327 hasConceptScore W2169760327C2524010 @default.
- W2169760327 hasConceptScore W2169760327C2778433361 @default.
- W2169760327 hasConceptScore W2169760327C2779463800 @default.
- W2169760327 hasConceptScore W2169760327C33923547 @default.
- W2169760327 hasConceptScore W2169760327C59822182 @default.
- W2169760327 hasConceptScore W2169760327C8010536 @default.
- W2169760327 hasConceptScore W2169760327C83979697 @default.
- W2169760327 hasConceptScore W2169760327C86803240 @default.
- W2169760327 hasIssue "1" @default.
- W2169760327 hasLocation W21697603271 @default.
- W2169760327 hasLocation W21697603272 @default.
- W2169760327 hasLocation W21697603273 @default.
- W2169760327 hasLocation W21697603274 @default.
- W2169760327 hasLocation W21697603275 @default.
- W2169760327 hasOpenAccess W2169760327 @default.
- W2169760327 hasPrimaryLocation W21697603271 @default.
- W2169760327 hasRelatedWork W1678370088 @default.
- W2169760327 hasRelatedWork W1989008630 @default.
- W2169760327 hasRelatedWork W1989122576 @default.
- W2169760327 hasRelatedWork W2023661790 @default.
- W2169760327 hasRelatedWork W2044219908 @default.
- W2169760327 hasRelatedWork W2076093011 @default.
- W2169760327 hasRelatedWork W2105325102 @default.
- W2169760327 hasRelatedWork W2134523982 @default.
- W2169760327 hasRelatedWork W2325905947 @default.
- W2169760327 hasRelatedWork W2951806892 @default.
- W2169760327 hasVolume "357" @default.
- W2169760327 isParatext "false" @default.
- W2169760327 isRetracted "false" @default.
- W2169760327 magId "2169760327" @default.
- W2169760327 workType "article" @default.