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Volumn 36, Issue 5, 1999, Pages 623-653

Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS; THEOREM PROVING; VECTORS;

EID: 0032681285     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00175-8     Document Type: Article
Times cited : (33)

References (20)
  • 2
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    • T.R. Blows, C. Rousseau, Bifurcation at infinity in polynomial vector fields, J. Differential Equations 104 (1993) 215-242.
    • (1993) J. Differential Equations , vol.104 , pp. 215-242
    • Blows, T.R.1    Rousseau, C.2
  • 7
    • 33847705038 scopus 로고
    • Simultaneous Hopf bifurcations at the origin and infinity for cubic systems
    • R. Bamon, R. Labarca, J. Palis (Eds.), Pitman, New York
    • V. Guíñez, E. Sáez, I. Szántó, Simultaneous Hopf bifurcations at the origin and infinity for cubic systems, in: R. Bamon, R. Labarca, J. Palis (Eds.), Dynamical Systems, Pitman Research Notes in Mathematics, vol. 285, Pitman, New York, 1993, pp. 40-51.
    • (1993) Dynamical Systems, Pitman Research Notes in Mathematics , vol.285 , pp. 40-51
    • Guíñez, V.1    Sáez, E.2    Szántó, I.3
  • 8
    • 0040732078 scopus 로고
    • Hopf bifurcation at infinity with discontinuous nonlinearities
    • X. He, Hopf bifurcation at infinity with discontinuous nonlinearities, J. Austral. Math. Soc. Ser. B 31 (1991) 133-148.
    • (1991) J. Austral. Math. Soc. Ser. B , vol.31 , pp. 133-148
    • He, X.1
  • 9
    • 0021900652 scopus 로고
    • Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity
    • W.L. Keith, R.H. Rand, Dynamics of a system exhibiting the global bifurcation of a limit cycle at infinity, Int. J. Non-Linear Mech. 20 (1985) 325-338.
    • (1985) Int. J. Non-Linear Mech. , vol.20 , pp. 325-338
    • Keith, W.L.1    Rand, R.H.2
  • 11
    • 0030109902 scopus 로고    scopus 로고
    • Global first harmonic bifurcation diagram for odd piecewise linear control systems
    • J. Llibre, E. Ponce, Global first harmonic bifurcation diagram for odd piecewise linear control systems, Dynamics Stability Systems 11 (1996) 49-88.
    • (1996) Dynamics Stability Systems , vol.11 , pp. 49-88
    • Llibre, J.1    Ponce, E.2
  • 13
    • 0000533116 scopus 로고
    • A note on the number of limit cycles in certain two-dimensional systems
    • N.G. Lloyd, A note on the number of limit cycles in certain two-dimensional systems, J. London Math. Soc. 20 (1979) 277-286.
    • (1979) J. London Math. Soc. , vol.20 , pp. 277-286
    • Lloyd, N.G.1
  • 16
    • 0345702326 scopus 로고
    • Soluzioni periodiche dell'equazione di Liénard: Biforcazione dall'infinito e non unicità
    • L. Malaguti, Soluzioni periodiche dell'equazione di Liénard: biforcazione dall'infinito e non unicità, Rend. Istit. Mat. Univ. Trieste 19 (1987) 12-31.
    • (1987) Rend. Istit. Mat. Univ. Trieste , vol.19 , pp. 12-31
    • Malaguti, L.1
  • 19
    • 0000698118 scopus 로고
    • Bifurcations of polynomial vector fields in the plane
    • F.V. Atkinson, S.F. Langford, A.B. Mingarelli (Eds.), Oscillation, Bifurcation and Chaos, Providence RI
    • J. Sotomayor, R. Paterlini, Bifurcations of polynomial vector fields in the plane, in: F.V. Atkinson, S.F. Langford, A.B. Mingarelli (Eds.), Oscillation, Bifurcation and Chaos, CMS-AMS Conf. Proc. vol. 8, Providence RI, 1987, pp. 665-685.
    • (1987) CMS-AMS Conf. Proc. , vol.8 , pp. 665-685
    • Sotomayor, J.1    Paterlini, R.2
  • 20
    • 0001423908 scopus 로고
    • Introduction to Applied Nonlinear Dynamical Systems and Chaos
    • Springer, Berlin
    • S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Text Applied Math, vol. 2, Springer, Berlin, 1990.
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    • Wiggins, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.