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Volumn 198, Issue 2, 2004, Pages 301-320

Integrability and linearizability of the Lotka-Volterra systems

Author keywords

Center problem; Integrability; Linearizability; Lotka Volterra system

Indexed keywords


EID: 1642310621     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00196-7     Document Type: Article
Times cited : (52)

References (9)
  • 1
    • 0001055171 scopus 로고
    • Analytic form of differential equations
    • A.D. Bruno, Analytic form of differential equations, Trans. Moscow Math. Soc. 25 (1971) 131-288.
    • (1971) Trans. Moscow Math. Soc. , vol.25 , pp. 131-288
    • Bruno, A.D.1
  • 3
    • 0000173117 scopus 로고
    • Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre
    • H. Dulac, Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre, Bull. Sci. Math. 32 (1908) 230-252.
    • (1908) Bull. Sci. Math. , vol.32 , pp. 230-252
    • Dulac, H.1
  • 5
    • 0032350636 scopus 로고    scopus 로고
    • Solution of the 1:-2 resonant centre problem in the quadratic case
    • A. Fronville, A. Sadovski, H. Zoladek, Solution of the 1:-2 resonant centre problem in the quadratic case, Fund. Math. 157 (1998) 191-207.
    • (1998) Fund. Math. , vol.157 , pp. 191-207
    • Fronville, A.1    Sadovski, A.2    Zoladek, H.3
  • 6
    • 0036748977 scopus 로고    scopus 로고
    • Integrability and linearizability of the Lotka-Volterra System with a saddle point with rational hyperbolicity ratio
    • S. Gravel, P. Thibault, Integrability and linearizability of the Lotka-Volterra System with a saddle point with rational hyperbolicity ratio, J. Differential Equations 184 (2002) 20-47.
    • (2002) J. Differential Equations , vol.184 , pp. 20-47
    • Gravel, S.1    Thibault, P.2
  • 7
    • 0042422922 scopus 로고
    • Integrals of a system with homogeneous nonlinearities of the third degree in cases of a center
    • (Russian)
    • V.A. Lunkevich, K.S. Sibirskii, Integrals of a system with homogeneous nonlinearities of the third degree in cases of a center, Differ. Uravneniya 20 (1984) 1360-1365 (Russian).
    • (1984) Differ. Uravneniya , vol.20 , pp. 1360-1365
    • Lunkevich, V.A.1    Sibirskii, K.S.2
  • 9
    • 0010208567 scopus 로고    scopus 로고
    • The problem of center for resonant singular points of polynomial vectro fields
    • H. Zoladek, The problem of center for resonant singular points of polynomial vectro fields, J. Differential Equations 137 (1997) 94-118.
    • (1997) J. Differential Equations , vol.137 , pp. 94-118
    • Zoladek, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.