Chaotic self-similar wave maps coupled to gravity

Details Chaotic self-similar wave maps coupled to gravity Chaotic self-similar wave maps coupled to gravity

2003-10-08

arxiv.org/abs/gr-qc/0310050v2

Phys.Rev.D69:084014,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 17 figures

Scientific paper

10.1103/PhysRevD.69.084014

We continue our studies of spherically symmetric self-similar solutions in
the SU(2) sigma model coupled to gravity. For some values of the coupling
constant we present numerical evidence for the chaotic solution and the fractal
threshold behavior. We explain this phenomenon in terms of horseshoe-like
dynamics and heteroclinic intersections.

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