It is important to present global non-linearized approximate method when the studies of nonlinear dynamical systems have been entering dominated fields.Seven different non-linearized approximate systems were given for a class of typical Hamiltonian system according to the different cases of two or three interaction points of equating potential lines.The approximate solutions(orbits)were given by integrating the corresponding approximate systems.It shows that the approximate elliptic periodic orbits can be obtained by the corresponding linearized systems and that the homoclinic(or heteroclinic) orbits can be obtained by the corresponding non-linearized systems with two or three order nonlinearities.Finally,the approximate methods are applied to analyze a concrete Hamiltonian system.
Discussion(0)
No comments yet. Be the first to comment.