메뉴 건너뛰기




Volumn 155, Issue 1, 1999, Pages 73-88

Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033542307     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3581     Document Type: Article
Times cited : (75)

References (13)
  • 4
    • 0009257475 scopus 로고
    • Double exponential estimate for the number of zeros of complete Abelian integrals
    • Il'yashenko Yu. S., Yakovenko S. Double exponential estimate for the number of zeros of complete Abelian integrals. Invent. Math. 121:1995;87-105.
    • (1995) Invent. Math. , vol.121 , pp. 87-105
    • Il'yashenko Yu., S.1    Yakovenko, S.2
  • 5
    • 0030594278 scopus 로고    scopus 로고
    • Counting real zeros of analytic functions satisfying linear ordinary differential equations
    • Il'yashenko Yu. S., Yakovenko S. Counting real zeros of analytic functions satisfying linear ordinary differential equations. J. Differential Equations. 126:1996;613-650.
    • (1996) J. Differential Equations , vol.126 , pp. 613-650
    • Il'yashenko Yu., S.1    Yakovenko, S.2
  • 6
    • 34250133017 scopus 로고
    • Real analytic manifolds with finiteness properties and complex Abelian integrals
    • Khovanskii A. Real analytic manifolds with finiteness properties and complex Abelian integrals. Funct. Anal. Appl. 18:1984;119-128.
    • (1984) Funct. Anal. Appl. , vol.18 , pp. 119-128
    • Khovanskii, A.1
  • 7
    • 21844508050 scopus 로고
    • Simple exponential estimate for the number of real zeros of complete Abelian integrals
    • Novikov D., Yakovenko S. Simple exponential estimate for the number of real zeros of complete Abelian integrals. Ann. Inst. Fourier. 45:1995;897-927.
    • (1995) Ann. Inst. Fourier , vol.45 , pp. 897-927
    • Novikov, D.1    Yakovenko, S.2
  • 8
  • 9
  • 11
    • 44949281273 scopus 로고
    • Zeroes of complete elliptic integrals for 1 : 2 resonance
    • Rousseau C., Zoladek H. Zeroes of complete elliptic integrals for 1 : 2 resonance. J. Differential Equations. 94:1991;42-54.
    • (1991) J. Differential Equations , vol.94 , pp. 42-54
    • Rousseau, C.1    Zoladek, H.2
  • 12
    • 0002232057 scopus 로고
    • Estimate of the number of zeros of Abelian integrals depending on parameters and limit cycles
    • Varchenko A. N. Estimate of the number of zeros of Abelian integrals depending on parameters and limit cycles. Funct. Anal. Appl. 18:1984;98-108.
    • (1984) Funct. Anal. Appl. , vol.18 , pp. 98-108
    • Varchenko A., N.1
  • 13
    • 0001519305 scopus 로고
    • Complete Abelian integrals as rational envelopes
    • Yakovenko S. Complete Abelian integrals as rational envelopes. Nonlinearity. 7:1994;1237-1250.
    • (1994) Nonlinearity , vol.7 , pp. 1237-1250
    • Yakovenko, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.