Nonlinear interactions of matter-gravity Hamiltonian
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The 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.