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Volumn 231, Issue 1, 2006, Pages 78-91

Perturbations of symmetric elliptic Hamiltonians of degree four

Author keywords

Bifurcation diagram; Chebychev property; Melnikov functions; Unfolding symmetric Hamiltonian systems

Indexed keywords


EID: 33748779805     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2006.07.016     Document Type: Article
Times cited : (14)

References (12)
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  • 4
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    • Perturbations from an elliptic Hamiltonian of degree 4: I. Saddle loop and two saddle cycle
    • Dumortier F., and Li C. Perturbations from an elliptic Hamiltonian of degree 4: I. Saddle loop and two saddle cycle. J. Differential Equations 176 (2001) 114-157
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    • Dumortier, F.1    Li, C.2
  • 5
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    • Perturbations from an elliptic Hamiltonian of degree 4: III. Global centre
    • Dumortier F., and Li C. Perturbations from an elliptic Hamiltonian of degree 4: III. Global centre. J. Differential Equations 188 (2003) 473-511
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    • Dumortier, F.1    Li, C.2
  • 6
    • 0037374648 scopus 로고    scopus 로고
    • Perturbations from an elliptic Hamiltonian of degree 4: IV. Figure eight-loop
    • Dumortier F., and Li C. Perturbations from an elliptic Hamiltonian of degree 4: IV. Figure eight-loop. J. Differential Equations 188 (2003) 512-554
    • (2003) J. Differential Equations , vol.188 , pp. 512-554
    • Dumortier, F.1    Li, C.2
  • 7
    • 0033586883 scopus 로고    scopus 로고
    • Higher order bifurcations of limit cycles
    • Iliev I.D., and Perko L.M. Higher order bifurcations of limit cycles. J. Differential Equations 154 (1999) 339-363
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    • Iliev, I.D.1    Perko, L.M.2
  • 8
    • 38149147052 scopus 로고
    • Abelian integrals and nonsymmetric perturbation of symmetric Hamiltonian vector fields
    • Jebrane A., and Zoladek H. Abelian integrals and nonsymmetric perturbation of symmetric Hamiltonian vector fields. Adv. in Appl. Math. 15 (1994) 1-12
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    • Jebrane, A.1    Zoladek, H.2
  • 9
    • 4344718736 scopus 로고    scopus 로고
    • The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations
    • Li C., and Roussarie R. The cyclicity of the elliptic segment loops of the reversible quadratic Hamiltonian systems under quadratic perturbations. J. Differential Equations 205 (2004) 488-520
    • (2004) J. Differential Equations , vol.205 , pp. 488-520
    • Li, C.1    Roussarie, R.2
  • 10
    • 4344640814 scopus 로고    scopus 로고
    • Chebyshev Systems and the Versal Unfolding of the Cusps of Order n
    • Hermann, Paris 153 pp
    • Mardešić P. Chebyshev Systems and the Versal Unfolding of the Cusps of Order n. Travaux en Cours vol. 57 (1998), Hermann, Paris 153 pp
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  • 11
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    • ∞ mappings, III. Finitely determined map-germs
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  • 12
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    • Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem
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    • Roussarie R. Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem. Progr. Math. vol. 164 (1998), Birkhäuser 200 pp
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    • Roussarie, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.