메뉴 건너뛰기




Volumn 67, Issue 2, 2007, Pages 327-348

Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2

Author keywords

Integrability; Phase portraits; Quadratic vector fields; Rational first integral

Indexed keywords

INTEGRAL EQUATIONS; POLYNOMIALS; QUADRATIC PROGRAMMING;

EID: 34047250993     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.04.021     Document Type: Article
Times cited : (33)

References (12)
  • 1
    • 0000449178 scopus 로고
    • Investigation of the behaviour of the integral curves of a system of two differential equations in the neighborhood of a singular point
    • Andreev A.F. Investigation of the behaviour of the integral curves of a system of two differential equations in the neighborhood of a singular point. Trans. Amer. Math. Soc. 8 (1958) 183-207
    • (1958) Trans. Amer. Math. Soc. , vol.8 , pp. 183-207
    • Andreev, A.F.1
  • 3
    • 0003318109 scopus 로고
    • Dynamical Systems I, Ordinary Differential Equations
    • Springer-Verlag, Heidelberg
    • Arnold V.I., and Ilyashenko Y.S. Dynamical Systems I, Ordinary Differential Equations. Encyclopaedia of Mathematical Sciences vol. 1-2 (1988), Springer-Verlag, Heidelberg
    • (1988) Encyclopaedia of Mathematical Sciences , vol.1-2
    • Arnold, V.I.1    Ilyashenko, Y.S.2
  • 4
    • 0031258109 scopus 로고    scopus 로고
    • Phase portraits of planar semi-homogeneous systems I
    • Cairó L., and Llibre J. Phase portraits of planar semi-homogeneous systems I. Nonlinear Anal. 29 (1997) 783-811
    • (1997) Nonlinear Anal. , vol.29 , pp. 783-811
    • Cairó, L.1    Llibre, J.2
  • 5
    • 34047263315 scopus 로고    scopus 로고
    • J. Chavarriga, B. García, J. Llibre, J.S. Pérez del Río, J.A. Rodríguez, Polynomial first integrals of quadratic vector fields (2005) (preprint)
  • 7
    • 34047245147 scopus 로고    scopus 로고
    • B. García, J. Llibre, J.S. Pérez del Río, Phase portraits of the quadratic vector fields with a polynomial first integral (2005) (preprint)
  • 8
    • 0001328254 scopus 로고
    • Generic properties of polynomial vector fields at infinity
    • González E.A. Generic properties of polynomial vector fields at infinity. Trans. Amer. Math. Soc. 143 (1969) 201-222
    • (1969) Trans. Amer. Math. Soc. , vol.143 , pp. 201-222
    • González, E.A.1
  • 9
    • 34047258214 scopus 로고    scopus 로고
    • J.W. Reyn, A bibliography of the qualitative theory of quadratic systems of differential equations in the plane, Delf University of Technology, 1997, http://ta.twi.tudelft.nl/DV/Staff/J.W.Reyn.html
  • 10
    • 1842844070 scopus 로고
    • Quadratic vector fields with finitely many periodic orbits
    • Sotomayor J., and Paterlini R. Quadratic vector fields with finitely many periodic orbits. Springer Lecture Notes in Math. 1007 (1983) 753-766
    • (1983) Springer Lecture Notes in Math. , vol.1007 , pp. 753-766
    • Sotomayor, J.1    Paterlini, R.2
  • 11
    • 34047267200 scopus 로고
    • Amer. Math. Soc., Providence
    • Yanqian Y., et al. Theory of Limit Cycles. Transl. Math. Monographs vol. 66 (1984), Amer. Math. Soc., Providence
    • (1984) Transl. Math. Monographs , vol.66
    • Yanqian, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.