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Volumn 9, Issue 2, 1996, Pages 501-516

On the nonexistence, existence and uniqueness of limit cycles

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EID: 0000763063     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/2/013     Document Type: Article
Times cited : (164)

References (26)
  • 1
    • 0000131506 scopus 로고
    • Les cycles limites de Poincaré et la théorie des oscillations auto-entretenues
    • Andronov A A 1929 Les cycles limites de Poincaré et la théorie des oscillations auto-entretenues C. R. Acad. Sci. Paris 189 559-61
    • (1929) C. R. Acad. Sci. Paris , vol.189 , pp. 559-561
    • Andronov, A.A.1
  • 4
    • 0028497510 scopus 로고
    • Bifurcation of limit cycles from centres and separatrix cycles of planar analytic systems
    • Blows T R and Perko L M 1994 Bifurcation of limit cycles from centres and separatrix cycles of planar analytic systems SIAM Rev. 36 341-76
    • (1994) SIAM Rev. , vol.36 , pp. 341-376
    • Blows, T.R.1    Perko, L.M.2
  • 5
    • 44949277236 scopus 로고
    • Bifurcation of limit cycles from quadratic isochrones
    • Chicone C and Jacobs M 1991 Bifurcation of limit cycles from quadratic isochrones J. Diff Eq. 91 268-326
    • (1991) J. Diff Eq. , vol.91 , pp. 268-326
    • Chicone, C.1    Jacobs, M.2
  • 6
    • 22244455048 scopus 로고
    • Private communication
    • Françoise J P 1994 Private communication
    • (1994)
    • Françoise, J.P.1
  • 7
    • 22244435582 scopus 로고
    • On polynomial systems with invariant algebraic curves
    • Singapore: World Scientific
    • Gassul A 1993 On polynomial systems with invariant algebraic curves EQUADIFF 91, Int Conf on Differential Equations (Singapore: World Scientific) 531-37
    • (1993) EQUADIFF 91, Int Conf on Differential Equations , pp. 531-537
    • Gassul, A.1
  • 8
    • 0000111449 scopus 로고
    • Determination of limit cycles for two- dimensional dynamical systems
    • Giacomini H and Viano V 1995 Determination of limit cycles for two- dimensional dynamical systems Phys. Rev. E 52 222-28
    • (1995) Phys. Rev. E , vol.52 , pp. 222-228
    • Giacomini, H.1    Viano, V.2
  • 11
  • 12
    • 0003278590 scopus 로고
    • Finiteness theorems for limit cycles
    • Providence, RI: AMS
    • Ilyashenko Y S 1991 Finiteness theorems for limit cycles Trans. Am. Math. Soc. (Providence, RI: AMS)
    • (1991) Trans. Am. Math. Soc.
    • Ilyashenko, Y.S.1
  • 13
    • 0003364279 scopus 로고
    • Partial differential equations
    • New York: Springer
    • John F 1971 Partial differential equations Appl. Math. Sci. 1 (New York: Springer)
    • (1971) Appl. Math. Sci. , vol.1
    • John, F.1
  • 16
    • 0000663138 scopus 로고
    • Mémoire sur les courbes définies par une équation différentielle, I,II
    • Poincaré H 1886 Mémoire sur les courbes définies par une équation différentielle, I,II J. Math. Pures Appl. 7 375-422;
    • (1886) J. Math. Pures Appl. , vol.7 , pp. 375-422
    • Poincaré, H.1
  • 18
    • 0001277779 scopus 로고
    • Sur les courbes définies par les équations différentielles III, IV
    • Poincaré H Sur les courbes définies par les équations différentielles III, IV, 1885 J. Math. Pures Appl. ibid. 1 167-244;
    • (1885) J. Math. Pures Appl. , vol.1 , pp. 167-244
    • Poincaré, H.1
  • 20
    • 0000873906 scopus 로고
    • On relaxation-oscillations
    • van der Pol V 1926 On relaxation-oscillations Phil. Mag. 2 978-92
    • (1926) Phil. Mag. , vol.2 , pp. 978-992
    • Van Der Pol, V.1
  • 21
    • 0003764984 scopus 로고
    • A bibliography of the qualitative theory of quadratic systems of differential equations in the plane
    • 3rd edn
    • Reyn J W 1994 A bibliography of the qualitative theory of quadratic systems of differential equations in the plane 3rd edn Report of the Faculty of Technical Math, and Infor. 94-02, Delft
    • (1994) Report of the Faculty of Technical Math, and Infor. 94-02, Delft
    • Reyn, J.W.1
  • 25
    • 22244488385 scopus 로고
    • Cycles around a singular point of the nodal type
    • in Russian
    • Vorobev A P 1960 Cycles around a singular point of the nodal type Dokl. Akad. Nauk B.S.S.R. IV 9 369-71 (in Russian)
    • (1960) Dokl. Akad. Nauk B.S.S.R. IV , vol.9 , pp. 369-371
    • Vorobev, A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.