An account is given of a bifurcation that represents a form of generalized Hopf bifurcation from the infinity. In particular, the bifurcation of a periodic orbit from infinity for differential systems is explored. Necessary and sufficient conditions for the bifurcation are clarified. The existence, uniqueness, and stability of the bifurcating orbit are detailed. Furthermore, an asymptotic estimate for the size of the orbit is obtained.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 1 Jun 1999|