메뉴 건너뛰기




Volumn 130, Issue 1, 2006, Pages 71-86

Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop

Author keywords

Double figure eight loop; Heteroclinic bifurcation; Homoclinic bifurcation; Limit cycle

Indexed keywords


EID: 29444435626     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulsci.2005.07.001     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 0000495631 scopus 로고
    • On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type
    • N.N. Bautin On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type Mat. Sb. (N.S.) 30 72 1952 181-196
    • (1952) Mat. Sb. (N.S.) , vol.30 , Issue.72 , pp. 181-196
    • Bautin, N.N.1
  • 2
    • 0037374648 scopus 로고    scopus 로고
    • Perturbation from an elliptic Hamiltonian of degree four-Iv figure eight-loop
    • F. Dumortier C. Li Perturbation from an elliptic Hamiltonian of degree four-Iv figure eight-loop J. Differential Equations 188 2003 512-554
    • (2003) J. Differential Equations , vol.188 , pp. 512-554
    • Dumortier, F.1    Li, C.2
  • 3
    • 0033586883 scopus 로고    scopus 로고
    • Higher order bifurcations of limit cycles
    • I.D. Iliev L.M. Perko Higher order bifurcations of limit cycles J. Differential Equations 154 1999 339-363
    • (1999) J. Differential Equations , vol.154 , pp. 339-363
    • Iliev, I.D.1    Perko, L.M.2
  • 4
    • 0001171535 scopus 로고
    • Bifurcations of limit cycles forming compound eyes in the cubic system
    • J. Li Q. Huang Bifurcations of limit cycles forming compound eyes in the cubic system Chin. Ann. Math. B 8 4 1987 391-403
    • (1987) Chin. Ann. Math. B , vol.8 , Issue.4 , pp. 391-403
    • Li, J.1    Huang, Q.2
  • 5
    • 84888773429 scopus 로고
    • The bifurcation of "eithe figure" of separatrix of saddle with zero saddle value in the plane
    • preprint of Peking University, Research report 46
    • W. Li, The bifurcation of "eithe figure"; of separatrix of saddle with zero saddle value in the plane, preprint of Peking University, Research report 46, 1995
    • (1995)
    • Li, W.1
  • 6
    • 3242726041 scopus 로고    scopus 로고
    • The number and distribution of limit cycles of a class of cubic system
    • M. Han The number and distribution of limit cycles of a class of cubic system China Ann. of Math. (Ser. A) 23 2002 143-152
    • (2002) China Ann. of Math. (Ser. A) , vol.23 , pp. 143-152
    • Han, M.1
  • 8
    • 0012765968 scopus 로고    scopus 로고
    • The number of limit cycles in double homoclinic bifurcations
    • M. Han J. Chen The number of limit cycles in double homoclinic bifurcations Sci. China Ser. A 30 2000 401-414
    • (2000) Sci. China Ser. A , vol.30 , pp. 401-414
    • Han, M.1    Chen, J.2
  • 9
    • 0037408724 scopus 로고    scopus 로고
    • On the stability of double homoclinic and heteroclinic cycles
    • M. Han S. Hu X. Liu On the stability of double homoclinic and heteroclinic cycles Nonlinear Anal. 53 2003 701-713
    • (2003) Nonlinear Anal. , vol.53 , pp. 701-713
    • Han, M.1    Hu, S.2    Liu, X.3
  • 10
    • 0033165088 scopus 로고    scopus 로고
    • Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane
    • M. Han Z. Zhang Cyclicity 1 and 2 conditions for a 2-polycycle of integrable systems on the plane J. Differential Equations 155 1999 245-261
    • (1999) J. Differential Equations , vol.155 , pp. 245-261
    • Han, M.1    Zhang, Z.2
  • 11
    • 14844304659 scopus 로고    scopus 로고
    • On the number and distributions of limit cycles in a cubic system
    • M. Han T. Zhang H. Zang On the number and distributions of limit cycles in a cubic system Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 12 2004 4285-4292
    • (2004) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.14 , Issue.12 , pp. 4285-4292
    • Han, M.1    Zhang, T.2    Zang, H.3
  • 12
    • 3242699921 scopus 로고    scopus 로고
    • Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop
    • H. Zang T. Zhang W. Chen Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop J. Complexity 20 4 2004 544-560
    • (2004) J. Complexity , vol.20 , Issue.4 , pp. 544-560
    • Zang, H.1    Zhang, T.2    Chen, W.3
  • 13
    • 15844402332 scopus 로고    scopus 로고
    • Perturbation from an asymmetric cubic Hamiltonian
    • T. Zhang M. Han H. Zang Perturbation from an asymmetric cubic Hamiltonian J. Math. Anal. Appl. 305 2005 617-630
    • (2005) J. Math. Anal. Appl. , vol.305 , pp. 617-630
    • Zhang, T.1    Han, M.2    Zang, H.3
  • 14
    • 0242365778 scopus 로고    scopus 로고
    • Bifurcations of limit cycles in a cubic system
    • T. Zhang H. Zang M. Han Bifurcations of limit cycles in a cubic system Chaos Solitons Fractals 20 3 2004 629-638
    • (2004) Chaos Solitons Fractals , vol.20 , Issue.3 , pp. 629-638
    • Zhang, T.1    Zang, H.2    Han, M.3
  • 15
    • 0033542307 scopus 로고    scopus 로고
    • Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians
    • Y. Zhao Z. Zhang Linear estimate of the number of zeros of Abelian integrals for a kind of quartic Hamiltonians J. Differential Equations 155 1999 73-78
    • (1999) J. Differential Equations , vol.155 , pp. 73-78
    • Zhao, Y.1    Zhang, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.