메뉴 건너뛰기




Volumn 20, Issue 6, 2000, Pages 1671-1686

Second-order analysis in polynomially perturbed reversible quadratic Hamiltonian systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034357798     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000936     Document Type: Article
Times cited : (22)

References (23)
  • 4
    • 0030546995 scopus 로고    scopus 로고
    • Successive derivatives of a first return map, application to the study of quadratic vector fields
    • J.-P. Françoise. Successive derivatives of a first return map, application to the study of quadratic vector fields. Ergod. Th. & Dynam. Sys. 16 (1996), 87-96.
    • (1996) Ergod. Th. & Dynam. Sys. , vol.16 , pp. 87-96
    • Françoise, J.-P.1
  • 5
    • 0000445879 scopus 로고    scopus 로고
    • Isochronicity of plane polynomial Hamiltonian systems
    • L. Gavrilov. Isochronicity of plane polynomial Hamiltonian systems. Nonlinearity 10 (1997), 433-448.
    • (1997) Nonlinearity , vol.10 , pp. 433-448
    • Gavrilov, L.1
  • 6
    • 0032324554 scopus 로고    scopus 로고
    • Petrov modules and zeros of Abelian integrals
    • L. Gavrilov. Petrov modules and zeros of Abelian integrals. Bulletin des Sciences Mathématiques 122 (1998), 571-584.
    • (1998) Bulletin des Sciences Mathématiques , vol.122 , pp. 571-584
    • Gavrilov, L.1
  • 7
    • 0012866038 scopus 로고    scopus 로고
    • Nonoscillation of elliptic integrals related to cubic polynomials with symmetry of order three
    • L. Gavrilov. Nonoscillation of elliptic integrals related to cubic polynomials with symmetry of order three. Bull. London Math. Soc. 30 (1998), 267-273.
    • (1998) Bull. London Math. Soc. , vol.30 , pp. 267-273
    • Gavrilov, L.1
  • 8
    • 0033440641 scopus 로고    scopus 로고
    • Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields
    • L. Gavrilov. Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields. Annales Inst. Fourier 49 (1999), 611-652.
    • (1999) Annales Inst. Fourier , vol.49 , pp. 611-652
    • Gavrilov, L.1
  • 9
    • 0001763980 scopus 로고
    • Limit cycles of perturbations of quadratic vector fields
    • L. Gavrilov and E. Horozov. Limit cycles of perturbations of quadratic vector fields. J. Math. Pures Appl. 72 (1993), 213-238.
    • (1993) J. Math. Pures Appl. , vol.72 , pp. 213-238
    • Gavrilov, L.1    Horozov, E.2
  • 11
    • 84963044168 scopus 로고
    • On the number of limit cycles in perturbations of quadratic Hamiltonian systems
    • E. Horozov and I. D. Iliev. On the number of limit cycles in perturbations of quadratic Hamiltonian systems. Proc. London Math. Soc. 69 (1994), 198-224.
    • (1994) Proc. London Math. Soc. , vol.69 , pp. 198-224
    • Horozov, E.1    Iliev, I.D.2
  • 12
    • 0347466739 scopus 로고    scopus 로고
    • Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians
    • E. Horozov and I. D. Iliev. Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. Nonlinearity 11 (1998), 1521-1537.
    • (1998) Nonlinearity , vol.11 , pp. 1521-1537
    • Horozov, E.1    Iliev, I.D.2
  • 13
    • 0032193858 scopus 로고    scopus 로고
    • On second order bifurcations of limit cycles
    • I. D. Iliev. On second order bifurcations of limit cycles. J. London Math. Soc. 58 (1998), 353-366.
    • (1998) J. London Math. Soc. , vol.58 , pp. 353-366
    • Iliev, I.D.1
  • 14
    • 0034355417 scopus 로고    scopus 로고
    • On the limit cycles available from polynomial perturbations of the Bogda-nov-Takens Hamiltonian
    • I. D. Iliev. On the limit cycles available from polynomial perturbations of the Bogda-nov-Takens Hamiltonian. Israel J. Math. 115 (2000), 269-284.
    • (2000) Israel J. Math. , vol.115 , pp. 269-284
    • Iliev, I.D.1
  • 15
    • 0032020006 scopus 로고    scopus 로고
    • Perturbations of quadratic centers
    • I. D. Iliev. Perturbations of quadratic centers. Bull. Sci. Math. 122 (1998), 107-161.
    • (1998) Bull. Sci. Math. , vol.122 , pp. 107-161
    • Iliev, I.D.1
  • 16
    • 0001722685 scopus 로고    scopus 로고
    • Higher-order Melnikov functions for degenerate cubic Hamiltonians
    • I. D. Iliev. Higher-order Melnikov functions for degenerate cubic Hamiltonians. Adv. Differential Equations 1 (1996), 689-708.
    • (1996) Adv. Differential Equations , vol.1 , pp. 689-708
    • Iliev, I.D.1
  • 17
    • 0001530918 scopus 로고
    • A note on a result of G. S. Petrov about the weakened 16th Hilbert problem
    • Bao-yi Li and Zhi-fen Zhang. A note on a result of G. S. Petrov about the weakened 16th Hilbert problem. J. Math. Anal. Appl. 190 (1995), 489-516.
    • (1995) J. Math. Anal. Appl. , vol.190 , pp. 489-516
    • Li, B.-Y.1    Zhang, Z.-F.2
  • 18
    • 0000669485 scopus 로고
    • The number of limit cycles of polynomial deformations of a Hamiltonian vector field
    • P. Mardešić. The number of limit cycles of polynomial deformations of a Hamiltonian vector field. Ergod. Th. & Dynam. Sys. 10 (1990), 523-529.
    • (1990) Ergod. Th. & Dynam. Sys. , vol.10 , pp. 523-529
    • Mardešić, P.1
  • 19
    • 0001799620 scopus 로고
    • On the number of zeros of complete elliptic integrals
    • G. S. Petrov. On the number of zeros of complete elliptic integrals. Funct. Anal. Appl. 18 (1984), 73-74.
    • (1984) Funct. Anal. Appl. , vol.18 , pp. 73-74
    • Petrov, G.S.1
  • 20
    • 0001888119 scopus 로고
    • Elliptic integrals and their nonoscillation
    • G. S. Petrov. Elliptic integrals and their nonoscillation. Funct. Anal. Appl. 20 (1986), 46-49.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 46-49
    • Petrov, G.S.1
  • 21
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
    • R. Roussarie. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Bol. Soc. Bras. Math. 17(2) (1986), 67-101.
    • (1986) Bol. Soc. Bras. Math. , vol.17 , Issue.2 , pp. 67-101
    • Roussarie, R.1
  • 23
    • 0000813963 scopus 로고
    • Quadratic systems with center and their perturbations
    • H. Żoła̧dek. Quadratic systems with center and their perturbations. J. Differential Equations 109 (1994), 223-273.
    • (1994) J. Differential Equations , vol.109 , pp. 223-273
    • Zoła̧dek, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.