TY - JOUR
T1 - Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields
AU - Llibre, Jaume
AU - Ponce, Enrique
PY - 1999/6/1
Y1 - 1999/6/1
N2 - 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.
AB - 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.
U2 - https://doi.org/10.1016/S0362-546X(98)00175-8
DO - https://doi.org/10.1016/S0362-546X(98)00175-8
M3 - Article
VL - 36
SP - 623
EP - 653
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
ER -