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Efstathiou, Konstantinos and Giacobbe, Andrea (2012) The topology associated to cusp singular points. [Journal papers (printed)]

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Abstract (english)

In this article we investigate the global geometry associated to cusp singular points of two-degree of freedom completely integrable systems. It typically happens that such singular points appear in couples, connected by a curve of hyperbolic singular points. We show that such a couple gives rise to two possible topological types as base of the integrable torus bundle, that we call pleat and flap. When the topological type is a flap, the system can have non-trivial monodromy, and this is equivalent to the existence in phase space of a lens space compatible with the singular Lagrangian foliation associated to the completely integrable system.


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EPrint type:Journal papers (printed)
Anno di Pubblicazione:2012
Key Words:completely integrable systems, bifurcation diagrams, cusp singularities, monodromy
Settori scientifico-disciplinari MIUR:Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Codice ID:5228
Depositato il:09 Nov 2012 12:24
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