메뉴 건너뛰기




Volumn 49, Issue 2, 1997, Pages 212-231

Differential equations defined by the sum of two quasi-homogeneous vector fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031509821     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-1997-011-0     Document Type: Article
Times cited : (42)

References (18)
  • 3
    • 84976168837 scopus 로고
    • The number of limit cycles of certain polynomial differential equations
    • T. R. Blows and N. G. Lloyd, The number of limit cycles of certain polynomial differential equations, Proc. Roy. Soc. Edinburgh 98A(1984), 215-239.
    • (1984) Proc. Roy. Soc. Edinburgh , vol.98 A , pp. 215-239
    • Blows, T.R.1    Lloyd, N.G.2
  • 4
    • 0002751215 scopus 로고
    • Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
    • M. Brunella and M. Miari, Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra, J. Differential Equations 85(1990), 338-366.
    • (1990) J. Differential Equations , vol.85 , pp. 338-366
    • Brunella, M.1    Miari, M.2
  • 5
    • 0000643336 scopus 로고
    • Number of limit cycles of an autonomous second-order system
    • L. A. Cherkas, Number of limit cycles of an autonomous second-order system, Differential Equations 5(1976), 666-668.
    • (1976) Differential Equations , vol.5 , pp. 666-668
    • Cherkas, L.A.1
  • 6
    • 38249041207 scopus 로고
    • Limit cycles of a class of polynomial vector fields in the plane
    • C. Chicone, Limit cycles of a class of polynomial vector fields in the plane, J. Differential Equations 63(1986), 68-87.
    • (1986) J. Differential Equations , vol.63 , pp. 68-87
    • Chicone, C.1
  • 7
    • 84975974337 scopus 로고
    • Limit cycles of a class of polynomial systems
    • M. Carbonell and J. Llibre, Limit cycles of a class of polynomial systems, Proc. Roy. Soc. Edinburgh 109A(1988), 187-199.
    • (1988) Proc. Roy. Soc. Edinburgh , vol.109 A , pp. 187-199
    • Carbonell, M.1    Llibre, J.2
  • 8
    • 0000162712 scopus 로고
    • Cubic Liénard equations with linear damping
    • F. Dumortier and C. Rousseau, Cubic Liénard equations with linear damping, Nonlinearity 3(1990), 1015-1039.
    • (1990) Nonlinearity , vol.3 , pp. 1015-1039
    • Dumortier, F.1    Rousseau, C.2
  • 9
    • 0000128365 scopus 로고
    • Limit cycles for a class of Abel equations
    • A. Gasull and J. Llibre, Limit cycles for a class of Abel equations, SIAM J. Math. Anal. 21(1990), 1235-1244.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1235-1244
    • Gasull, A.1    Llibre, J.2
  • 10
    • 0002611339 scopus 로고
    • Limit cycles of a vector field of the form: X(v) = Av + f(v)Bv
    • A. Gasull, J. Llibre and J. Sotomayor, Limit cycles of a vector field of the form: X(v) = Av + f(v)Bv, J. Differential Equations 167(1987), 90-110.
    • (1987) J. Differential Equations , vol.167 , pp. 90-110
    • Gasull, A.1    Llibre, J.2    Sotomayor, J.3
  • 12
    • 0040393604 scopus 로고
    • Limit cycles of planar quadratic differential equations
    • D. E. Koditschek and K. S. Narendra, Limit cycles of planar quadratic differential equations, J. Differential Equations 54(1984), 181-195.
    • (1984) J. Differential Equations , vol.54 , pp. 181-195
    • Koditschek, D.E.1    Narendra, K.S.2
  • 13
    • 0001790153 scopus 로고
    • j, 0 ≤ t ≤ 1, for which x(0) = x(1)
    • j, 0 ≤ t ≤ 1, for which x(0) = x(1), Invent. Math. 59(1980), 67-76.
    • (1980) Invent. Math. , vol.59 , pp. 67-76
    • Lins, A.1
  • 15
    • 0000533116 scopus 로고
    • A note on the number of limit cycles in certain two-dimensional systems
    • N. G. Lloyd, A note on the number of limit cycles in certain two-dimensional systems, J. London Math. Soc. 20(1979), 277-286.
    • (1979) J. London Math. Soc. , vol.20 , pp. 277-286
    • Lloyd, N.G.1
  • 17
    • 0000663138 scopus 로고    scopus 로고
    • Mémoire sur les courbes définies par une équation différentielle
    • H. Poincaré, Mémoire sur les courbes définies par une équation différentielle, Oeuvres T. 1, J. Math. Pures Appl.
    • Oeuvres T. 1, J. Math. Pures Appl.
    • Poincaré, H.1
  • 18
    • 0011676738 scopus 로고
    • Existence, uniqueness, and nonexistence of limit cycles for a class of quadratic systems in the plane
    • L. M. Perko and Shü Shih-Lung, Existence, uniqueness, and nonexistence of limit cycles for a class of quadratic systems in the plane, J. Differential Equations 53(1984), 146-171.
    • (1984) J. Differential Equations , vol.53 , pp. 146-171
    • Perko, L.M.1    Shih-Lung, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.