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Volumn 8, Issue 4, 2009, Pages 1133-1157

Study of the cyclicity of some degenerate graphics inside quadratic systems

Author keywords

Blow up of the family; Degenerate graphics; Finite cyclicity; Hilbert's 16 th problem for quadratic systems; Singular perturbations

Indexed keywords


EID: 77249089460     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2009.8.1133     Document Type: Article
Times cited : (7)

References (10)
  • 3
    • 18144396577 scopus 로고    scopus 로고
    • Time analysis and entry-exit relation near planar turning points
    • P. De Maesschalck and F. Dumortier, Time analysis and entry-exit relation near planar turning points, J. Differential Equations, 215 (2005), 225-267.
    • (2005) J. Differential Equations , vol.215 , pp. 225-267
    • De Maesschalck, P.1    Dumortier, F.2
  • 6
    • 34548864003 scopus 로고    scopus 로고
    • More limit cycles than expected in Liénard equations
    • F. Dumortier, D. Panazzolo and R. Roussarie, More limit cycles than expected in Liénard equations, Proc. Amer. Math. Soc, 135 (2007), 1895-1904.
    • (2007) Proc. Amer. Math. Soc. , vol.135 , pp. 1895-1904
    • Dumortier, F.1    Panazzolo, D.2    Roussarie, R.3
  • 9
    • 84896693802 scopus 로고    scopus 로고
    • On the geometric structure of the class of quadratic systems
    • R. Roussarie and D. Schlomiuk, On the geometric structure of the class of quadratic systems, Qual. Theory Dyn. Syst., 3 (2002), 93-121.
    • (2002) Qual. Theory Dyn. Syst. , vol.3 , pp. 93-121
    • Roussarie, R.1    Schlomiuk, D.2
  • 10
    • 33947587176 scopus 로고    scopus 로고
    • Normal forms, bifurcations and finiteness properties of vector fields
    • NATO Sci. Ser. II Math. Phys. Chem., Kluwer Acad. Publ., Dordrecht
    • C. Rousseau, Normal forms, bifurcations and finiteness properties of vector fields, in "Normal Forms, Bifurcations and Finiteness Properties of Vector Fields", NATO Sci. Ser. II Math. Phys. Chem., 137, Kluwer Acad. Publ., Dordrecht, 2004, 431-470.
    • (2004) Normal Forms, Bifurcations and Finiteness Properties of Vector Fields , vol.137 , pp. 431-470
    • Rousseau, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.