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Volumn 151, Issue 1, 1999, Pages 20-35

Global Behavior of Limit Cycles in Rotated Vector Fields

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EID: 0041704011     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3508     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0007427937 scopus 로고
    • Applications of rotated vector fields, I
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    • (1963) J. Nanjing University , vol.1 , pp. 19-25
    • Chen, X.1
  • 2
    • 0007427937 scopus 로고
    • Applications of rotated vector fields, II
    • Chen X. Applications of rotated vector fields, II. J. Nanjing University. 2:1963;43-50.
    • (1963) J. Nanjing University , vol.2 , pp. 43-50
    • Chen, X.1
  • 3
    • 0007383986 scopus 로고
    • Generalized rotated vector fields
    • Chen X. Generalized rotated vector fields. J. Nanjing University. 1:1975;100-108.
    • (1975) J. Nanjing University , vol.1 , pp. 100-108
    • Chen, X.1
  • 5
    • 0002297362 scopus 로고
    • Limit cycles and rotated vector fields
    • Duff G. F. D. Limit cycles and rotated vector fields. Ann. of Math. 67:1953;15-31.
    • (1953) Ann. of Math. , vol.67 , pp. 15-31
    • Duff, G.F.D.1
  • 6
    • 3042586117 scopus 로고
    • The uniqueness of limit cycles bifurcated from a singular closed orbit
    • Han M., Li L. The uniqueness of limit cycles bifurcated from a singular closed orbit. Chinese Ann. Math. 5:1995;645-651.
    • (1995) Chinese Ann. Math. , vol.5 , pp. 645-651
    • Han, M.1    Li, L.2
  • 8
    • 0141716874 scopus 로고
    • Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
    • Perko L. M. Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane. J. Differential Equations. 18:1975;63-86.
    • (1975) J. Differential Equations , vol.18 , pp. 63-86
    • Perko, L.M.1
  • 10
    • 84966222045 scopus 로고
    • Global families of limit cycles of planar analytic systems
    • Perko L. M. Global families of limit cycles of planar analytic systems. Trans. Amer. Math. Soc. 322:1990;627-656.
    • (1990) Trans. Amer. Math. Soc. , vol.322 , pp. 627-656
    • Perko, L.M.1
  • 12
    • 0001277779 scopus 로고
    • Mémoire sur les courbes définie par une équation différentielle, III
    • Poincaré H. Mémoire sur les courbes définie par une équation différentielle, III. J. Math. Pures Appl. 1:1885;167-244.
    • (1885) J. Math. Pures Appl. , vol.1 , pp. 167-244
    • Poincaré, H.1
  • 13
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
    • Roussarie R. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields. Bol. Boc. Bras. Mat. 17:1986;67-101.
    • (1986) Bol. Boc. Bras. Mat. , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 15
    • 0003264465 scopus 로고
    • Theory of Limit Cycles
    • Providence: Amer. Math. Soc.
    • Ye Y. Theory of Limit Cycles. Tran. Math. Monographs. 66:1986;Amer. Math. Soc. Providence.
    • (1986) Tran. Math. Monographs , vol.66
    • Ye, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.