<正> Suppose that the 2-dimensional systems of one-parameter equations of the form for α= 0 possess a continuous family {Γ~h} of periodic orbits in an annular region of the phase plane. The study of Poincar...<正> Suppose that the 2-dimensional systems of one-parameter equations of the form for α= 0 possess a continuous family {Γ~h} of periodic orbits in an annular region of the phase plane. The study of Poincaré bifurcations of(1)_α, namely, the creation of limit cycles from some closed orbits, may be confined to the investigation of how many zeros there are in the展开更多
基金Project supported by the Science Fund of Academia Sinica
文摘<正> Suppose that the 2-dimensional systems of one-parameter equations of the form for α= 0 possess a continuous family {Γ~h} of periodic orbits in an annular region of the phase plane. The study of Poincaré bifurcations of(1)_α, namely, the creation of limit cycles from some closed orbits, may be confined to the investigation of how many zeros there are in the