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Volumn 15, Issue 7, 2005, Pages 2191-2205

Twelve limit cycles in a cubic case of the 16th hilbert problem

Author keywords

Hopf bifurcation; Limit cycle; Normal form; Planar system; The 16th Hilbert problem

Indexed keywords


EID: 24144462859     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127405013289     Document Type: Article
Times cited : (67)

References (8)
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  • 2
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    • A study on the existence of limit cycles of a planar system with 3rd-degree polynomials
    • Han, M., Lin, Y. & Yu, P. [2004] "A study on the existence of limit cycles of a planar system with 3rd-degree polynomials," Int. J. Bifurcation and Chaos 14, 41-60.
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    • Han, M.1    Lin, Y.2    Yu, P.3
  • 3
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    • Necessary and sufficient conditions for the existence of center
    • Kukles, I. S. [1944] "Necessary and sufficient conditions for the existence of center," Dokl. Akad. Nauk 42, 160-163.
    • (1944) Dokl. Akad. Nauk , vol.42 , pp. 160-163
    • Kukles, I.S.1
  • 4
    • 0001211762 scopus 로고
    • Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
    • Li, J. & Liu, Z. [1991] "Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system," Publ. Math. 35, 487-506.
    • (1991) Publ. Math. , vol.35 , pp. 487-506
    • Li, J.1    Liu, Z.2
  • 5
    • 0037246396 scopus 로고    scopus 로고
    • Hilbert's 16th problem and bifurcations of planar polynomial vector fields
    • Li, J. [2003] "Hilbert's 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
  • 6
    • 3042571812 scopus 로고
    • On the singularity values of complex autonomous differential systems
    • in Chinese
    • Liu, Y. & Li, J. [1989] "On the singularity values of complex autonomous differential systems," Sci. China (Series A) 3, 245-255 (in Chinese).
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    • Liu, Y.1    Li, J.2
  • 7
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    • Criteria for center of a differential equation
    • Malkin, K. E. [1964] "Criteria for center of a differential equation," Volg. Matem. Sbornik 2, 87-91.
    • (1964) Volg. Matem. Sbornik , vol.2 , pp. 87-91
    • Malkin, K.E.1
  • 8
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • Yu, P. [1998] "Computation of normal forms via a perturbation technique," J. Sound Vibr. 211, 19-38.
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    • Yu, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.