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Volumn 17, Issue 6, 2007, Pages 2033-2047

On the number of limit cycles in near-hamiltonian polynomial systems

Author keywords

Bifurcation; Cyclicity; Limit cycle; Near Hamiltonian system

Indexed keywords

HAMILTONIANS; PERTURBATION TECHNIQUES; THEOREM PROVING;

EID: 34548395982     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407018208     Document Type: Article
Times cited : (23)

References (9)
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    • Arnold, V.I.1
  • 2
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    • On Hopf cyclicity of planar systems
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    • Han, M.1
  • 3
    • 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
  • 4
    • 0033413671 scopus 로고    scopus 로고
    • Melnikov functions and perturbation of a planar Hamiltonian system
    • Jiang, Q. & Han, M. [1999] "Melnikov functions and perturbation of a planar Hamiltonian system," Chin. Ann. Math. B 20, 233-246.
    • (1999) Chin. Ann. Math. B , vol.20 , pp. 233-246
    • Jiang, Q.1    Han, M.2
  • 5
    • 0000474566 scopus 로고
    • Generalized Hopf bifurcation and its dual, generalized homoclinic bifurcation
    • Joyal, P. [1988] "Generalized Hopf bifurcation and its dual, generalized homoclinic bifurcation," SIAM J. Appl. Math. 48, 481-496.
    • (1988) SIAM J. Appl. Math , vol.48 , pp. 481-496
    • Joyal, P.1
  • 6
    • 0037246396 scopus 로고    scopus 로고
    • Huberts 16th problem and bifurcations of planar polynomial vector fields
    • Li, J. [2003] "Huberts 16th problem and bifurcations of planar polynomial vector fields," Int. J. Bifurcation and Chaos 13, 47-106.
    • (2003) Int. J. Bifurcation and Chaos , vol.13 , pp. 47-106
    • Li, J.1
  • 7
    • 51249171477 scopus 로고
    • On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
    • Roussarie, R. [1986] "On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields," Bol. Soc. Brasil. Mat. 17, 67-101.
    • (1986) Bol. Soc. Brasil. Mat , vol.17 , pp. 67-101
    • Roussarie, R.1
  • 8
    • 0001304970 scopus 로고
    • Algebraic and geometric aspects of the theory of polynomial vector fields
    • Bifurcations and Periodic Orbits of Vector Fields, ed. Schlomiuk, D, 408 Kluwer Academic, London
    • Schlomiuk,D. [1993] "Algebraic and geometric aspects of the theory of polynomial vector fields," in Bifurcations and Periodic Orbits of Vector Fields, ed. Schlomiuk, D., NATO ASI Series C, Vol. 408 (Kluwer Academic, London), 429-467.
    • (1993) NATO ASI Series , vol.100 , pp. 429-467
    • Schlomiuk, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.