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Volumn 14, Issue 9, 2004, Pages 3325-3335

Global bifurcation of limit cycles in a family of multiparameter system

Author keywords

Bifurcation; Limit cycle; Melnikov function

Indexed keywords

DIFFERENTIAL EQUATIONS; HAMILTONIANS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; VECTORS;

EID: 10444238484     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011144     Document Type: Article
Times cited : (32)

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  • 3
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    • On cyclicity of planar systems in Hopf and Poincare bifurcations
    • eds. Jiang, Y. & Wen, L. (World Scientific, Singapore)
    • Han, M. [1999] "On cyclicity of planar systems in Hopf and Poincare bifurcations," Dyn. Syst. Proc. Int. Conf. Honor of Professor Liao Shantao, eds. Jiang, Y. & Wen, L. (World Scientific, Singapore), pp. 66-74.
    • (1999) Dyn. Syst. Proc. Int. Conf. Honor of Professor Liao Shantao , pp. 66-74
    • Han, M.1
  • 4
    • 0034656493 scopus 로고    scopus 로고
    • On Hopf cyclicity of planar systems
    • Han, M. [2000] "On Hopf cyclicity of planar systems," J. Math. Anal. Appl. 245, 404-422.
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 404-422
    • Han, M.1
  • 5
    • 0042868219 scopus 로고    scopus 로고
    • The Hopf cyclicity of Lienard systems
    • Han, M. [2001] "The Hopf cyclicity of Lienard systems," Appl Math. Lett. 14, 183-188.
    • (2001) Appl Math. Lett. , vol.14 , pp. 183-188
    • Han, M.1
  • 6
    • 0004602594 scopus 로고
    • Weak focus, limit cycles and bifurcations for bounded quadratic systems
    • Li, C., Libre, J. & Zhang, Z. [1995] "Weak focus, limit cycles and bifurcations for bounded quadratic systems," J. Diff. Eqs. 115, 193-223.
    • (1995) J. Diff. Eqs. , vol.115 , pp. 193-223
    • Li, C.1    Libre, J.2    Zhang, Z.3
  • 7
    • 21844508050 scopus 로고
    • Simple exponential estimate for the number of real zeros of complete Abelian integrals
    • Novikov, D. & Yakovenko, S. [1995] "Simple exponential estimate for the number of real zeros of complete Abelian integrals," Ann. Inst. Fourier 45, 897-927.
    • (1995) Ann. Inst. Fourier , vol.45 , pp. 897-927
    • Novikov, D.1    Yakovenko, S.2
  • 8
    • 0002232057 scopus 로고
    • Estimate of the number of zeros of Abelian integrals depending on parameters and limit cycles
    • Varchenko, A. N. [1984] "Estimate of the number of zeros of Abelian integrals depending on parameters and limit cycles," Funt. Anal. Appl. 18, 98-108.
    • (1984) Funt. Anal. Appl. , vol.18 , pp. 98-108
    • Varchenko, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.