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Volumn 48, Issue 3-4, 2004, Pages 577-588

A polynomial differential system with nine limit cycles at infinity

Author keywords

Bifurcation of limit cycles; Center condition; Focal value; Infinity; Singular point quantity

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATION THEORY; DIFFERENTIATION (CALCULUS); GRAPH THEORY; INTEGRATION; LYAPUNOV METHODS; RESEARCH;

EID: 10644230014     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2003.08.008     Document Type: Article
Times cited : (16)

References (9)
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  • 2
    • 0026390187 scopus 로고
    • A cubic system with eight small-amplitude limit cycles
    • E.M. James and N.G. Lloyd, A cubic system with eight small-amplitude limit cycles, I.M.A.J. Applied Math. 47, 163-171, (1991).
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    • James, E.M.1    Lloyd, N.G.2
  • 4
    • 0001797682 scopus 로고
    • Bifurcation at infinity in polynomial vector fields
    • T.R. Blows and C. Rousseau, Bifurcation at infinity in polynomial vector fields, Journal of Differential Equations 104, 215-242, (1993).
    • (1993) Journal of Differential Equations , vol.104 , pp. 215-242
    • Blows, T.R.1    Rousseau, C.2
  • 5
    • 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 m China (Series A) 44, 37-48, (2001).
    • (2001) Science M China (Series A) , vol.44 , pp. 37-48
    • Liu, Y.1
  • 6
    • 10644274720 scopus 로고    scopus 로고
    • Stability and bifurcation of limit cycles of the equator in a class of fifth polynomial systems
    • Y. Liu and Z. Meichun, Stability and bifurcation of limit cycles of the equator in a class of fifth polynomial systems, Chinese Journal of Contemporary Mathematics 23 (1), (2002).
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    • Liu, Y.1    Meichun, Z.2
  • 7
    • 0036772989 scopus 로고    scopus 로고
    • Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems
    • Y. Liu and H. Chen, Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems, Computers Math. Applic. 44 (8), 997-1005, (2002).
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    • Liu, Y.1    Chen, H.2
  • 8
    • 0001939637 scopus 로고
    • Theory of values of singular point in complex autonomous differential system
    • Y. Liu and J. Li, Theory of values of singular point in complex autonomous differential system, Science in China (Series A) 33 (1), 10-24, (1990).
    • (1990) Science in China (Series A) , vol.33 , Issue.1 , pp. 10-24
    • Liu, Y.1    Li, J.2
  • 9


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.