Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 41, Issue 38, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/41/38/385207
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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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