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The Loop Quantities and Bifurcations of Homoclinic Loops
(Journal of Differential Equations (Elsevier Science), 2007-01-31)
The stability and bifurcations of a homoclinic loop for planar vector fields are closely related to the limit cycles. For a homoclinic loop of a given planar vector field, a sequence of quantities, the homoclinic loop ...
Multiple Focus and Hopf Bifurcations in a Predator-Prey System with Nonmonotonic Functional Response
(SIAM Journal on Applied Mathematics, 2006)
In this paper, we develop a criterion to calculate the multiplicity of a multiple focus for general predator prey systems. As applications of this criterion, we calculate the most multiplicity of a multiple focus in a ...