Periodic, nonperiodic and irregulÄr motions in a hamiltonian system

Abstract

We study orbit structures in the neighborhoods of homoclinic orbits connecting saddlepoints with real eigenvalues in certain four-dimensional Hamiltonian Systems. Under suitable hypotheses we prove the existence of dense non-periodic orbits and of periodic orbits of infinitely many periods. © 1980, Rocky Mountain Mathematics Consortium. All Rights Reserved.