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GLOBAL AND LOCAL BIFURCATION IN PERTURBATIONS OF NON-SYMMETRY AND SYMMETRY OF HAMILTONIAN SYSTEM
Non-symmetry perturbed bifurcation detec
2007/12/17
The Hamiltonian systems with the non-symmetrical and the symmtrical perturbation are investigated.By using detection functions we obtain 1) explicit formulas for the global and local bifurcations of f...
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...