THE DYNAMICS OF PSEUDOGRAPHS IN CONVEX HAMILTONIAN SYSTEMS

摘要

In this paper, M denotes a connected compact manifold without boundary, of dimension d, and TM and T*M are its tangent and cotangent bundles. We shall consider the periodic time-dependent Hamiltonian system generated by a function H : R x T*M lR, and denote by the flow from time s to time t.