Normal forms and uniform approximations for bridge orbit bifurcations
نویسندگان
چکیده
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 Poincaré 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 quantummechanical results. PACS numbers: 05.45.Mt, 03.65.Sq
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تاریخ انتشار 2008