메뉴 건너뛰기




Volumn 20, Issue 4, 2004, Pages 647-652

Uniqueness of limit cycle for the quadratic systems with weak saddle and focus

Author keywords

Limit cycle; Quadratic system; Stability of separatrix cycle; Weak saddle

Indexed keywords


EID: 4744338749     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-004-0380-9     Document Type: Article
Times cited : (1)

References (9)
  • 1
    • 0001012446 scopus 로고
    • On limit cycles of plane quadratic systems
    • Shi, S. L.: On limit cycles of plane quadratic systems. Sci. Sinica, 24, 153-159 (1981)
    • (1981) Sci. Sinica , vol.24 , pp. 153-159
    • Shi, S.L.1
  • 2
    • 0008988961 scopus 로고
    • On the uniqueness of limit cycle and stability of separatrix cycle for a quadratic system with weak saddle
    • Zhang, P. G.: On the uniqueness of limit cycle and stability of separatrix cycle for a quadratic system with weak saddle. Northeastern Math. J., 6(2), 243-252 (1990)
    • (1990) Northeastern Math. J. , vol.6 , Issue.2 , pp. 243-252
    • Zhang, P.G.1
  • 3
    • 0003264465 scopus 로고    scopus 로고
    • Theory of limit cycle
    • Amer. Math. Soc.
    • Ye, Y. Q. et al.: Theory of Limit Cycle. Translation of Math. Monographs, Amer. Math. Soc., 66, (1986)
    • Translation of Math. Monographs , vol.66 , pp. 1986
    • Ye, Y.Q.1
  • 4
    • 0004051023 scopus 로고
    • Qualitative theory of differential equation
    • Science Press, Beijing
    • Zhang, Z. F. et al.: Qualitative Theory of Differential Equation, Modern Math. Basic Series, Science Press, Beijing, 1985
    • (1985) Modern Math. Basic Series
    • Zhang, Z.F.1
  • 5
    • 4744362634 scopus 로고    scopus 로고
    • Quadratic systems with 3rd-order(or 2nd-order) weak focus
    • Zhang, P. G.: Quadratic systems with 3rd-order(or 2nd-order) weak focus. Ann. of Diff. Eqs., 17(3), 287-294 (2001)
    • (2001) Ann. of Diff. Eqs. , vol.17 , Issue.3 , pp. 287-294
    • Zhang, P.G.1
  • 6
    • 84978966758 scopus 로고    scopus 로고
    • Quadratic systems with a weak focus and a strong focus
    • Zhang, P. G.: Quadratic systems with a weak focus and a strong focus. Appl. Math. J. Chinese Univ. Ser. B, 14(1), 7-14 (1999)
    • (1999) Appl. Math. J. Chinese Univ. Ser. B , vol.14 , Issue.1 , pp. 7-14
    • Zhang, P.G.1
  • 7
    • 4744366643 scopus 로고
    • On the concentrative distribution and uniqueness of limit cycles for a quadratic system, Dynamical
    • Tianjing China, Sept., 1990-1991, World Sci. Pallco. Ptc. Ltd., Singapore
    • Zhang, P. G.: On the concentrative distribution and uniqueness of limit cycles for a quadratic system, Dynamical, Proc. Prog. Nankai Inst. of Math., Tianjing China, Sept., 1990-1991, World Sci. Pallco. Ptc. Ltd., Singapore, 4, 297-310 (1993)
    • (1993) Proc. Prog. Nankai Inst. of Math. , vol.4 , pp. 297-310
    • Zhang, P.G.1
  • 8
    • 0003388511 scopus 로고
    • A quadratic system with weak saddle
    • Cai, S. L., Zhang, P. G.: A quadratic system with weak saddle. J. Math. Res. Exposition, (1), 63-68 (1987)
    • (1987) J. Math. Res. Exposition , Issue.1 , pp. 63-68
    • Cai, S.L.1    Zhang, P.G.2
  • 9
    • 84979031564 scopus 로고    scopus 로고
    • On number of limit cycle for the quadratic system with a weak focus and a strong focus
    • Zhang, P. G., Zhao, S. Q.: On number of limit cycle for the quadratic system with a weak focus and a strong focus. Appl. Math. J. Chinese Univ. Ser. B, 16(2), 127-132 (2001)
    • (2001) Appl. Math. J. Chinese Univ. Ser. B , vol.16 , Issue.2 , pp. 127-132
    • Zhang, P.G.1    Zhao, S.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.