I. Damião Soares

Homoclinic chaos in the dynamics of a general Bianchi type-IX model

The dynamics of a general Bianchi IX model with three scale factors is examined. The matter content of the model is assumed to be comoving dust plus a positive cosmological constant. The model presents a critical point of saddle-center-center type in the finite region of phase space. This critical point engenders in the phase space dynamics the topology of stable and unstable four dimensional tubes

Chaos and universality in the dynamics of inflationary cosmologies

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Taub's plane symmetric vacuum space-time revisited

, where

The Efficiency of Gravitational Bremsstrahlung Production in the Collision of Two Schwarzschild Black Holes

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Gravitational wave emission from the numerical evolution of Robinson-Trautman spacetimes: A treatment in the nonlinear regime

is a saddle direction and

Universality in the chaotic dynamics associated with saddle-centers critical points

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Essay: Preheating and Turbulence: Echoes of a Not So Quiet Universe

is the manifold of unstable periodic orbits in the center-center sector. A general characteristic of the dynamical flow is an oscillatory mode about orbits of an invariant plane of the dynamics which contains the critical point and a Friedmann-Robertson-Walker (FRW) singularity. We show that a pair of tubes (one stable, one unstable) emerging from the neighborhood of the critical point towards the FRW singularity have homoclinic transversal crossings. The homoclinic intersection manifold has topology

Chaos in preinflationary Friedmann-Robertson-Walker universes

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On the detection of matter vorticity and spacetime torsion

and is constituted of homoclinic orbits which are bi-asymptotic to the

THE LOW DIMENSIONAL DYNAMICAL SYSTEM APPROACH IN GENERAL RELATIVITY: AN EXAMPLE

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