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Algebraic integrability of FRW-scalar cosmologies
Spiros Cotsakis, John Miritzis
For dynamical systems of dimension three or more the question of integrability or nonintegrability is extended by the possibility of chaotic behaviour in the general solution. We d…
Ever-expanding, Isotropizing, Quadratic Cosmologies
Spiros Cotsakis, George Flessas, Peter Leach +1
We consider some aspects of the global evolution problem of Hamiltonian homogeneous, anisotropic cosmologies derived from a purely quadratic action functional of the scalar curvatu…
Symmetry, Singularities and Integrability in Complex Dynamics IV: Painleve Integrability of Isotropic Cosmologies
John Miritzis, Peter Leach, Spiros Cotsakis
We apply the results of singularity analysis to the isotropic cosmological models in general relativity and string theory with a variety of matter terms. For some of these models t…
Symmetry, singularities and integrability in complex dynamics II: Rescaling and time-translation in two-dimensional systems
Peter Leach, Spiros Cotsakis, George Flessas
The explicit integrability of second order ordinary differential equations invariant under time-translation and rescaling is investigated. Quadratic systems generated from the line…
Integrable spherically symmetric p-brane models associated with Lie algebras
S. Cotsakis, V. R. Gavrilov, V. N. Melnikov
A classical model of gravity theory with several dilatonic scalar fields and differential forms admitting an interpretation in terms of intersecting p-branes is studied in (pseudo)…