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Volumn 198, Issue 2, 2004, Pages 374-380

Configurations of limit cycles and planar polynomial vector fields

Author keywords

Limit cycles; Quadratic vector fields

Indexed keywords


EID: 12144290753     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.10.008     Document Type: Article
Times cited : (67)

References (10)
  • 1
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    • (in Russian)
    • M.I. Al'Mukhamedov, On the construction of a differential equation having given curves as limit cycles, Izv. Vyss. Ucebn. Zaved Matematika 1 (44) (1963) 3-6 (in Russian).
    • (1963) Izv. Vyss. Ucebn. Zaved Matematika , vol.1 , Issue.44 , pp. 3-6
    • Al'Mukhamedov, M.I.1
  • 2
    • 0012999773 scopus 로고    scopus 로고
    • A characterization of the ω-limit sets of planar continuous dynamical systems
    • F. Balibrea, V. Jimenez, A characterization of the ω-limit sets of planar continuous dynamical systems, J. Differential Equations 145 (1999) 469-498.
    • (1999) J. Differential Equations , vol.145 , pp. 469-498
    • Balibrea, F.1    Jimenez, V.2
  • 3
    • 51249173092 scopus 로고
    • Quadratic vector fields in the plane have a finite number of limit cycles
    • R. Bamon, Quadratic vector fields in the plane have a finite number of limit cycles, Int. Hautes Études Sci. Publ. Math. 64 (1986) 111-142.
    • (1986) Int. Hautes Études Sci. Publ. Math. , vol.64 , pp. 111-142
    • Bamon, R.1
  • 4
    • 0003533276 scopus 로고
    • Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac
    • Hermann
    • J. Écalle, Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac, Hermann, 1992.
    • (1992)
    • Écalle, J.1
  • 5
    • 0000763063 scopus 로고    scopus 로고
    • On the nonexistence, existence and uniqueness of limit cycles
    • H. Giacomini, J. Llibre, M. Viano, On the nonexistence, existence and uniqueness of limit cycles, Nonlinearity 9 (1996) 501-516.
    • (1996) Nonlinearity , vol.9 , pp. 501-516
    • Giacomini, H.1    Llibre, J.2    Viano, M.3
  • 6
    • 0001946992 scopus 로고
    • Mathematische Problem (lecture), Second International Congress on Mathematics
    • Paris, 1900
    • D. Hilbert, Mathematische Problem (lecture), Second International Congress on Mathematics, Paris, 1900, Nachr. Ges. Wiss. Göttingen Math.-Phys. Kl. 1900, pp. 253-297.
    • (1900) Nachr. Ges. Wiss. Göttingen Math.-Phys. Kl. , pp. 253-297
    • Hilbert, D.1
  • 8
    • 1642316105 scopus 로고
    • 2 that are topologically equivalent to polynomial vectorfields
    • 2 that are topologically equivalent to polynomial vectorfields, J. Differential Equations 57 (1985) 406-435.
    • (1985) J. Differential Equations , vol.57 , pp. 406-435
    • Schecter, S.1    Singer, F.2
  • 9
    • 0040071037 scopus 로고
    • Inverse problems for dynamical systems
    • R. Sverdlove, Inverse problems for dynamical systems, J. Differential Equations 42 (1981) 72-105.
    • (1981) J. Differential Equations , vol.42 , pp. 72-105
    • Sverdlove, R.1
  • 10
    • 0040071046 scopus 로고
    • Construction of a differential equation with given limit cycles and critical points
    • (in Russian)
    • R.T. Valeeva, Construction of a differential equation with given limit cycles and critical points, Volz Math. Sb. 5 (1966) 83-85 (in Russian).
    • (1966) Volz Math. Sb. , vol.5 , pp. 83-85
    • Valeeva, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.