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BIFURCATIONS FROM HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM
Bifurcations homoclinic orbit Hamilton
2007/8/7
An existence theorem of homoclinic orbit is given for second order Hamiltonian system -\"{x}(t) + a(t)x(t) - W_x(t, x(t)) = \lambda x(t) when \lambda=\lambda_1, where \lambda_1 is the first eigenvalue...
LOCAL AND GLOBAL BIFURCATIONS AND APPLICATIONS IN A PREDATOR-PREY SYSTEM WITH SEVERAL PARAMETERS
Bifurcation of equilibria Hopf bifurcat
2007/8/7
A predator-prey system, depending on several parameters, is investigated forbifurcation of equilibria, Hopf bifurcation, global bifurcation occurring saddle connection, and global existence and nonexi...