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Superconducting circular strings on de Sitter space

B. Boisseau, H. Giacomini, D. Polarski

DOI 10.1103/PhysRevD.51.6909 · Physical Review D

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Abstract

Circular strings on a de Sitter background are considered in two different models of superconducting strings. A geometrical approach to the derivation of the equations of motion is given and applied to these cases. In the cases studied here, the systems reduce to two-dimensional, autonomous Hamiltonian dynamical systems with either one or two free dimensionless parameters. Exploiting the Hamiltonian structure of the second system, which contains the first one as a special case, the complete bifurcation diagram and the corresponding phase portraits are constructed thereby providing a comprehensive understanding of the dynamics of our systems.

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