Integrable Hamiltonian systems with swallowtails

6533b852fe1ef96bd12ab759

RESEARCH PRODUCT

Integrable Hamiltonian systems with swallowtails

Dominique Sugny Konstantinos Efstathiou

subject

Statistics and Probability [PHYS.PHYS.PHYS-CLASS-PH]Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph]Integrable system SINGULARITIES Coordinate system General Physics and Astronomy 01 natural sciences Hamiltonian system [ PHYS.PHYS.PHYS-CLASS-PH ] Physics [physics]/Physics [physics]/Classical Physics [physics.class-ph]FRACTIONAL MONODROMY 0103 physical sciences 0101 mathematics 010306 general physics Quantum Mathematical Physics Bifurcation Mathematics Mathematical physics Parallel transport SPHERICAL PENDULUM GEOMETRY 010102 general mathematics Spherical pendulum Mathematical analysis Statistical and Nonlinear Physics RESONANCE SACKER FAMILIES Modeling and Simulation LIOUVILLE Gravitational singularity

description

International audience; We consider two-degree-of-freedom integrable Hamiltonian systems with bifurcation diagrams containing swallowtail structures. The global properties of the action coordinates in such systems together with the parallel transport of the period lattice and corresponding quantum cells in the joint spectrum are described in detail. The relation to the concept of bidromy which was introduced in Sadovski´ı and Zhilinski´ı (2007 Ann. Phys. 322 164–200) is discussed.

year	journal	country	edition	language
2010-02-26

10.1088/1751-8113/43/8/085216 https://hal.archives-ouvertes.fr/hal-00508375

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