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On deformation of foliations with a center in the projective space 42
MOVASATI,HOSSEIN.
Let <img ALIGN="BOTTOM" src="http:/img/fbpe/aabc/v73n2/m4img1.gif"> be a foliation in the projective space of dimension two with a first integral of the type <img ALIGN="MIDDLE" src="http:/img/fbpe/aabc/v73n2/m4img2.gif">, where F and G are two polynomials on an affine coordinate, <img ALIGN="MIDDLE" src="http:/img/fbpe/aabc/v73n2/m4img3.gif"> = <img ALIGN="MIDDLE" src="http:/img/fbpe/aabc/v73n2/m4img4.gif"> and g.c.d.(p, q) = 1. Let z be a nondegenerate critical point of <img ALIGN="MIDDLE" src="http:/img/fbpe/aabc/v73n2/m4img2.gif">, which is a center singularity of <img ALIGN="BOTTOM" src="http:/img/fbpe/aabc/v73n2/m4img1.gif">, and <img src="http:/img/fbpe/aabc/v73n2/ft.gif" alt="ft.gif (149 bytes)"...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Holomorphic foliation; Limit cycle; Center singularity.
Ano: 2001 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200004
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Modelling benthic invasion by the colonial gastropod Crepidula fornicata and its competition with the bivalve Pecten maximus . 1. A new 0D model for population dynamics of colony-forming species 5
Menesguen, Alain; Gregoris, Thomas.
The north-American marine gastropod Crepidula fornicata (Linné 1758), commonly called slipper limpet, has been introduced accidentally in Great Britain, along with American oysters (Crassostrea virginica) at the end of the 19th century. Its spreading, enhanced by oyster transport and international shipping, turned into invasion of a lot of benthic grounds along the North-European coasts. When local conditions are favorable to larval confinement and adult growth, the invasion by very dense populations may deeply change initially sandy or muddy benthic communities into similar “slipper limpet communities”. Competition for space eliminates several species of native infauna, and hampers the survival of some epibenthic bivalves such as the scallop Pecten...
Tipo: Text Palavras-chave: Crepidula fornicata; Invasive species; Benthic gastropod; Colony model; Matching matrix; Pecten maximus; Competition; Population dynamics; Limit cycle.
Ano: 2018 URL: https://archimer.ifremer.fr/doc/00415/52601/53491.pdf
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