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arxiv: 0807.0763 · v1 · pith:2SSCYA7Vnew · submitted 2008-07-04 · 🧮 math-ph · math.CA· math.MP

The occurrence of a triple -1 resonance in the standard singularity analysis

classification 🧮 math-ph math.CAmath.MP
keywords resonancetripleanalysisclosed-formmixmastersingularitysolutionuniverse
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Any careful singularity analysis of the Mixmaster Universe uncovers the instance of a triple -1 resonance. The Mixmaster Universe does not exhibit a closed-form solution and so a correct interpretation of the meaning of the triple -1 resonance is difficult. We provide a system of differential equations for which both a closed-form solution and a triple -1 resonance exist.

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