Reichl, L.E.2016-01-142018-01-222016-01-142018-01-222006-12http://hdl.handle.net/2152/32805The cosmological model of matter-gravity interaction is analysed. We use Walker Ford analysis to study the resonance properties and to study the flow of phase space trajectories. We review Henon-Heiles Hamiltonian and the Walker-Ford analysis of (2,2) resonance Hamiltonian. Matter-gravity is analysed for zero and positive spatial curvatures. Numerical simulations are also done for cases where it is possible and Poincare section plotted.electronicengCopyright © is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.Matter-gravity interactionHenon-Heiles HamiltonianSpace trajectoriesThesisRestricted