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Volumn 129, Issue 2, 2005, Pages 83-98

A cubic system with twelve small amplitude limit cycles

Author keywords

Focal value; Limit cycle; Poincar succession function; Singular point value

Indexed keywords


EID: 13644284844     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulsci.2004.05.004     Document Type: Article
Times cited : (45)

References (9)
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    • Li, J.1
  • 2
    • 13644272182 scopus 로고
    • A concrete example of the existence of four limit cycles for quadratic system
    • S. Shi A concrete example of the existence of four limit cycles for quadratic system Sci. Sinica 23 1980 16-21
    • (1980) Sci. Sinica , vol.23 , pp. 16-21
    • Shi, S.1
  • 3
    • 0001211762 scopus 로고
    • Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
    • J. Li Z. Liu Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system Publ. Math. 35 1991 487-506
    • (1991) Publ. Math. , vol.35 , pp. 487-506
    • Li, J.1    Liu, Z.2
  • 4
    • 0000113158 scopus 로고
    • Eleven small limit cycles in a cubic vector field
    • H. Zolsdek Eleven small limit cycles in a cubic vector field Nonlinearity 8 1995 843-860
    • (1995) Nonlinearity , vol.8 , pp. 843-860
    • Zolsdek, H.1
  • 6
    • 13644278064 scopus 로고    scopus 로고
    • Twelve limit cycles in cubic case of the 16th Hilbert problem
    • in press
    • P. Yu, M. Han, Twelve limit cycles in cubic case of the 16th Hilbert problem, in press
    • Yu, P.1    Han, M.2
  • 7
    • 0035274332 scopus 로고    scopus 로고
    • Theory of center-focus for a class of higher-degree critical points and infinite points
    • Y. Liu Theory of center-focus for a class of higher-degree critical points and infinite points Science in China (Series A) 44 2001 37-48
    • (2001) Science in China (Series A) , vol.44 , pp. 37-48
    • Liu, Y.1
  • 8
    • 0001939637 scopus 로고
    • Theory of values of singular point in complex autonomous differential system
    • Y. Liu J. Li Theory of values of singular point in complex autonomous differential system Science in China (Series A) 33 1990 10-24
    • (1990) Science in China (Series A) , vol.33 , pp. 10-24
    • Liu, Y.1    Li, J.2
  • 9
    • 0012202563 scopus 로고    scopus 로고
    • Formulas of singular point quantities and the first 10 saddle quantities for a class of cubic system
    • (in Chinese)
    • Y. Liu H. Chen Formulas of singular point quantities and the first 10 saddle quantities for a class of cubic system Acta Math. Appl. Sinica 25 2002 295-302 (in Chinese)
    • (2002) Acta Math. Appl. Sinica , vol.25 , pp. 295-302
    • Liu, Y.1    Chen, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.