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Normal forms and uniform approximations for bridge orbit bifurcations

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 نشر من قبل Ken-Ichiro Arita
 تاريخ النشر 2008
  مجال البحث فيزياء
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We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge orbit(s) between two successive bifurcations. We propose normal forms which locally describe the corresponding fixed point scenarios on the Poincare surface of section. Uniform approximations for the density of states for an integrable Hamiltonian system with two degrees of freedom are derived and successfully reproduce the numerical quantum-mechanical results.

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