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Volumn 269, Issue 1, 2002, Pages 332-351

Stability of certain planar unbounded polycycles

Author keywords

Bifurcation of limit cycles; Polycycle; Polynomial vector field; Stability

Indexed keywords


EID: 0036576560     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00027-6     Document Type: Article
Times cited : (17)

References (17)
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    • Memoire sur les Courbes Définies par Une Équation Différentielle
    • Edit. Jacques Gabay, Paris, 1993. Reprinted from the original papers published in the 8 (1882) 251-296, 1 (1885) 167-244, and 2 (1886) 151-217
    • (1881) Journal de Mathématiques , vol.7 , pp. 375-422
    • Poincaré, H.1
  • 2
    • 0003462345 scopus 로고
    • Curvas Definidas por Equaçoes Differenciais no Plano
    • Institute de Matemática Pura e Aplicada, Rio de Janeiro
    • (1981)
    • Sotomayor, J.1
  • 7
    • 0009631033 scopus 로고
    • Generation of limit cycles from separatrix polygons in the phase plane
    • Proc. Fourth Scheveningen Conf. (Scheveningen 1979), Springer, New York
    • (1980) Lecture Notes in Math , vol.810 , pp. 264-289
    • Reyn, J.W.1
  • 8
    • 0003817051 scopus 로고    scopus 로고
    • Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem
    • Birkhäuser, Basel
    • (1998)
    • Roussarie, R.1
  • 9
    • 0000698118 scopus 로고
    • Bifurcations of polynomial vector fields in the plane
    • Oscillations, Bifurcations and Chaos (Toronto, Ontario, 1986), American Mathematical Society, Providence, RI
    • (1987) CMS Conf. Proc , vol.8 , pp. 665-685
    • Sotomayor, J.1    Paterlini, R.2
  • 13
    • 0001248152 scopus 로고
    • Existence of limit cycles for quadratic systems with one infinite singular point
    • (1989) Chinese Ann. Math , vol.10 B , pp. 261-271
    • Maoan, H.1
  • 16
    • 0003940327 scopus 로고
    • Théorie Élémentaire des Fonctions Analytiques d'Une ou Plusieurs Variables Complexes
    • Hermann, Paris, in French
    • (1961)
    • Cartan, H.1
  • 17
    • 0004209478 scopus 로고
    • Elementary Theory of Analytic Functions of One or Several Complex Variables
    • Dover, New York, English translation.
    • (1995)
    • Cartan, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.