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Volumn 36, Issue 2, 1998, Pages 139-149

On a new type of bifurcation of limit cycles for a planar cubic system

Author keywords

Bifurcation limit cycles; Center focus problem

Indexed keywords

BIFURCATION (MATHEMATICS); MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; TWO DIMENSIONAL;

EID: 0033117189     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0362-546x(97)00663-9     Document Type: Article
Times cited : (18)

References (10)
  • 2
    • 0028497510 scopus 로고
    • Bifurcation of limit cycles from centers and separatrix cycles of planar analytic systems
    • Blows T.R., Perko L.M. Bifurcation of limit cycles from centers and separatrix cycles of planar analytic systems. SIAM Rev. 36:1994;341-376.
    • (1994) SIAM Rev. , vol.36 , pp. 341-376
    • Blows, T.R.1    Perko, L.M.2
  • 3
    • 0006038022 scopus 로고
    • A class of integrable polynomial vector fields
    • Chavarriga J. A class of integrable polynomial vector fields. Appl. Math. (Warsaw). 23:1995;339-350.
    • (1995) Appl. Math. (Warsaw) , vol.23 , pp. 339-350
    • Chavarriga, J.1
  • 4
    • 0001302034 scopus 로고    scopus 로고
    • Integrability of a linear center perturbed by fifth degree homogeneous polynomial
    • Chavarriga J., Giné J. Integrability of a linear center perturbed by fifth degree homogeneous polynomial. Publicacions Matemàtiques. 41:1997;335-356.
    • (1997) Publicacions Matemàtiques , vol.41 , pp. 335-356
    • Chavarriga, J.1    Giné, J.2
  • 5
    • 0000763063 scopus 로고    scopus 로고
    • On the nonexistence, existence, and uniquennes of limit cycles
    • Giacomini H., Llibre J., Viano M. On the nonexistence, existence, and uniquennes of limit cycles. Nonlinearity. 9:1996;501-516.
    • (1996) Nonlinearity , vol.9 , pp. 501-516
    • Giacomini, H.1    Llibre, J.2    Viano, M.3
  • 6
    • 0040047235 scopus 로고    scopus 로고
    • New sufficient conditions for a center and global phase portraits for polynomial systems
    • Giacomini H., Ndiaye M. New sufficient conditions for a center and global phase portraits for polynomial systems. Publicacions Matemàtiques. 40:1996;351-372.
    • (1996) Publicacions Matemàtiques , vol.40 , pp. 351-372
    • Giacomini, H.1    Ndiaye, M.2
  • 7
    • 0000111449 scopus 로고
    • Determination of limit cycles for two-dimensional dynamical systems
    • Giacomini H., Viano M. Determination of limit cycles for two-dimensional dynamical systems. Phys. Rev. E. 52:1995;222-228.
    • (1995) Phys. Rev. e , vol.52 , pp. 222-228
    • Giacomini, H.1    Viano, M.2
  • 10
    • 0003264465 scopus 로고
    • Theory of Limit Cycles
    • Amer. Math. Soc., Providence, RI
    • Y. Ye, Theory of Limit Cycles, Translations of Math. Monographs, vol. 66, Amer. Math. Soc., Providence, RI, 1986.
    • (1986) Translations of Math. Monographs , vol.66
    • Ye, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.