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Volumn 128, Issue 1, 1996, Pages 309-326

The cyclicity of the period annulus of the quadratic Hamiltonian triangle

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EID: 0030578195     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0097     Document Type: Article
Times cited : (50)

References (10)
  • 2
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    • On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type
    • 2. N. N. BAUTIN, On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type, Amer. Math. Soc. Transl. 100 (1954), 1-19. [Russian original: Math. Sbornik 30 (1952), 181-196.]
    • (1954) Amer. Math. Soc. Transl. , vol.100 , pp. 1-19
    • Bautin, N.N.1
  • 3
    • 0000495631 scopus 로고
    • 2. N. N. BAUTIN, On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type, Amer. Math. Soc. Transl. 100 (1954), 1-19. [Russian original: Math. Sbornik 30 (1952), 181-196.]
    • (1952) Math. Sbornik , vol.30 , pp. 181-196
  • 4
    • 84972541905 scopus 로고
    • The period function of a Hamiltonian quadratic system
    • 3. W. A. COPPEL AND L. GAVRILOV, The period function of a Hamiltonian quadratic system, Diff. Int. Equations 6, No. 6 (1993), 1357-1365.
    • (1993) Diff. Int. Equations , vol.6 , Issue.6 , pp. 1357-1365
    • Coppel, W.A.1    Gavrilov, L.2
  • 6
    • 85029960976 scopus 로고
    • Successive derivatives of a first return map, application to the study of quadratic vector fields
    • Preprint, October
    • 5. J.-P. FRANÇOISE, Successive derivatives of a first return map, application to the study of quadratic vector fields, Preprint, October (1993). [To appear in Ergod. Theory & Dyn. Syst.]
    • (1993) Ergod. Theory & Dyn. Syst.
    • Françoise, J.-P.1
  • 7
    • 0000929721 scopus 로고    scopus 로고
    • Limit cycles and zeroes of Abelian integrals satisfying third order Picard - Fuchs equations
    • "Bifurcations of Planar Vector Fields" (J.-P. Françoise and R. Roussarie, Eds.)
    • 6. L. GAVRILOV AND E. HOROZOV, Limit cycles and zeroes of Abelian integrals satisfying third order Picard - Fuchs equations, in "Bifurcations of Planar Vector Fields" (J.-P. Françoise and R. Roussarie, Eds.), Lect. Notes in Math., Vol. 1455, pp. 160-186.
    • Lect. Notes in Math. , vol.1455 , pp. 160-186
    • Gavrilov, L.1    Horozov, E.2
  • 9
    • 0000813963 scopus 로고
    • Quadratic systems with center and their perturbations
    • 8. H. ZOŁA̧DEK, Quadratic systems with center and their perturbations, J. Differential Equations 109, No. 2 (1994), 223-273.
    • (1994) J. Differential Equations , vol.109 , Issue.2 , pp. 223-273
    • ZoŁa̧dek, H.1
  • 10
    • 0000273658 scopus 로고
    • The cyclicity of triangles and segments in quadratic systems
    • 9. H. ZOŁA̧DEK, The cyclicity of triangles and segments in quadratic systems, J. Differential Equations 122, No. 1 (1995), 137-159.
    • (1995) J. Differential Equations , vol.122 , Issue.1 , pp. 137-159
    • ZoŁa̧dek, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.