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Volumn 27, Issue 2, 1997, Pages 471-501

Algebraic properties of the liapunov and period constants

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EID: 0031527157     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071923     Document Type: Article
Times cited : (75)

References (16)
  • 2
    • 84975945869 scopus 로고
    • The number of small-amplitude limit cycles of Liénard equations
    • T.R. Blows and N.G. Lloyd, The number of small-amplitude limit cycles of Liénard equations, Math. Proc. Cambridge Philos. Soc. 95 (1984), 751-758.
    • (1984) Math. Proc. Cambridge Philos. Soc , vol.95 , pp. 751-758
    • Blows, T.R.1    Lloyd, N.G.2
  • 3
    • 38249035274 scopus 로고
    • The monotonicity of the period function for planar Hamiltonian vector fields
    • C. Chicone, The monotonicity of the period function for planar Hamiltonian vector fields, J. Differential Equations 69 (1987), 310-321.
    • (1987) J. Differential Equations , vol.69 , pp. 310-321
    • Chicone, C.1
  • 4
    • 0000539993 scopus 로고
    • Bifurcation of criticai periods for planar vector fields
    • C. Chicone and M. Jacobs, Bifurcation of criticai periods for planar vector fields, Trans. Amer. Math. Soc. 312 (1989), 433-486.
    • (1989) Trans. Amer. Math. Soc , vol.312 , pp. 433-486
    • Chicone, C.1    Jacobs, M.2
  • 5
    • 0003036781 scopus 로고
    • Degenerate Hopf bifurcation formulas and HilberVs lôth problem
    • W.W. Farr, Chengzhi Li, I.S. Labouriau and W.F. Langford, Degenerate Hopf bifurcation formulas and HilberVs lôth problem, SIAM J. Math. Anal. 20 (1989), 13-29.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 13-29
    • Farr, W.W.1    Li, C.2    Labouriau, I.S.3    Langford, W.F.4
  • 6
    • 0018530408 scopus 로고
    • Liapunov approach to multiple Hopf bifurcation
    • F. Gõbber and K.D. Williamowski, Liapunov approach to multiple Hopf bifurcation, J. Math. Anal. Appl. 71 (1979), 333-350.
    • (1979) J. Math. Anal. Appl , vol.71 , pp. 333-350
    • Gõbber, F.1    Williamowski, K.D.2
  • 8
    • 0000252593 scopus 로고
    • Bifurcation formulae derived from center manifold theory, J. Math
    • B. Hassard and Y.H. Wan, Bifurcation formulae derived from center manifold theory, J. Math. Anal. Appl. 63 (1978), 297-312.
    • (1978) Anal. Appl , vol.63 , pp. 297-312
    • Hassard, B.1    Wan, Y.H.2
  • 10
    • 0001939637 scopus 로고
    • Theory of values of singular point in complex autonomous differential systems
    • Liu Yi-Rong and Li Ji-Bin, Theory of values of singular point in complex autonomous differential systems, Sci. China Ser. A. 33 (1990), 10-23.
    • (1990) Sci. China Ser. A , vol.33 , pp. 10-23
    • Yi-Rong, L.1    Li, J.-B.2
  • 11
    • 0001413231 scopus 로고
    • REDUCE and the bifurcation of limit cycles, Symbol. Comput
    • N.G. Lloyd and J.M. Pearson, REDUCE and the bifurcation of limit cycles, Symbol. Comput. Artificial Intelligence 9 (1990), 215-224.
    • (1990) Artificial Intelligence , vol.9 , pp. 215-224
    • Lloyd, N.G.1    Pearson, J.M.2
  • 12
    • 0001639716 scopus 로고
    • A new method of investigating the isochronicity of a system of two differential equations
    • I.I. Pleshkan, A new method of investigating the isochronicity of a system of two differential equations, Differential Equations 5 (1969), 796-802.
    • (1969) Differential Equations , vol.5 , pp. 796-802
    • Pleshkan, I.I.1
  • 14
    • 0000813963 scopus 로고
    • Quadratic systems with center and their perturbations
    • H. Zoladek, Quadratic systems with center and their perturbations, J. Differential Equations 109 (1994), 223-273.
    • (1994) J. Differential Equations , vol.109 , pp. 223-273
    • Zoladek, H.1
  • 15
    • 36149028349 scopus 로고
    • On a certain generalization of the Bautin’s theorem
    • H. Zoladek, On a certain generalization of the Bautin’s theorem, Nonlinearity 7 (1994), 273-280.
    • (1994) Nonlinearity , vol.7 , pp. 273-280
    • Zoladek, H.1
  • 16
    • 51249184976 scopus 로고
    • Order of cyclicity of the singular point of Liénard’s polynomial vector fields
    • Carlos Zuppa, Order of cyclicity of the singular point of Liénard’s polynomial vector fields, Boi. Soc. Bras. Mat. 12 (1981), 105-111.
    • (1981) Boi. Soc. Bras. Mat , vol.12 , pp. 105-111
    • Zuppa, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.