메뉴 건너뛰기




Volumn 13, Issue 1, 1997, Pages 64-75

Bifurcation of limit cycles and the cusp of order n

Author keywords

Bifurcation; Limit cycle

Indexed keywords


EID: 33746700917     PISSN: 10009574     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02560525     Document Type: Article
Times cited : (18)

References (11)
  • 1
    • 0002549474 scopus 로고
    • Versal deformation of a singularity of a vector field on the plane in the case of zero eigenvalues
    • Bogdonov R I. Versal deformation of a singularity of a vector field on the plane in the case of zero eigenvalues. Selecta Math Sov. 1981, 1: 389-421
    • (1981) Selecta Math Sov. , vol.1 , pp. 389-421
    • Bogdonov, R.I.1
  • 2
    • 84974232147 scopus 로고
    • Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part
    • Dumortier F, Roussarie R, Sotomayor J. Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp of codimension 3. Ergod Th & Dynam Sys. 1987, 7:375413
    • (1987) The Cusp of Codimension 3. Ergod Th & Dynam Sys. , vol.7 , pp. 375413
    • Dumortier, F.1    Roussarie, R.2    Sotomayor, J.3
  • 3
    • 3042876881 scopus 로고
    • The uniqueness of limit cycles bifurcating from a singular closed orbit (I), (II), (III)
    • Han M, Luo D, Zhu D. The uniqueness of limit cycles bifurcating from a singular closed orbit (I), (II), (III). Advances in Math, 1990, 3: 378-380 .
    • (1990) Advances in Math , vol.3 , pp. 378-380
    • Han, M.1    Luo, D.2    Zhu, D.3
  • 4
    • 0000474566 scopus 로고
    • Generalized Hopf bifurcation and its dual: Generalized homoclinic bifurcation
    • Joyal P. Generalized Hopf bifurcation and its dual: Generalized homoclinic bifurcation. SIAM J Appl Math, 1988, 48: 481-496
    • (1988) SIAM J Appl Math , vol.48 , pp. 481-496
    • Joyal, P.1
  • 5
    • 0002036871 scopus 로고
    • The Cusp of order N
    • Joyal P. The Cusp of order N. J Differential Equations, 1990, 88(1): 1-14
    • (1990) J Differential Equations , vol.88 , Issue.1 , pp. 1-14
    • Joyal, P.1
  • 6
    • 38249022236 scopus 로고
    • A system with three limit cycles appearing in a hopf bifurcation and dying in a homoclinic bifurcation: The cusp of prder 4
    • Li C, Rousseau C. A system with three limit cycles appearing in a hopf bifurcation and dying in a homoclinic bifurcation: The cusp of prder 4. J Differential Equations, 1989, 79:132-167 :
    • (1989) J Differential Equations , vol.79 , pp. 132-167
    • Rousseau C, L.C.1
  • 8
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of a separatrix loop of planar vector fields
    • Roussarie R. On the number of limit cycles which appear by perturbation of a separatrix loop of planar vector fields. Bol Soc Brasil Math, 1986, 17: 67-101
    • (1986) Bol Soc Brasil Math , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 9
    • 33746761257 scopus 로고
    • Déformations génériques des cusps
    • 9 Roussarie R. Déformations génériques des cusps. Astérique 150-151 (1987), 151-184 and 186-187
    • (1987) Astérique 150-151 , pp. 151-184
    • Roussarie, R.1
  • 11
    • 0000669485 scopus 로고
    • The number of Limit cycles of polynomial deformations of a hamiltonian vector field
    • Mardesic P. The number of Limit cycles of polynomial deformations of a hamiltonian vector field. Ergod Th fc Dynam Sys, 1990, 10: 523-529
    • (1990) Ergod Th Fc Dynam Sys , vol.10 , pp. 523-529
    • Mardesic, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.