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Giacobbe, Andrea (2007) Infinitesimally stable and unstable singularities of 2 degrees of freedom completely integrable systems. [Journal papers (printed)] (In pubblicazione)

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Abstract (english)

In this article we give a list of 10 rank zero and 6 rank one singularities of 2 degrees of freedom completely integrable systems. Among such singularities, 14 are the singularities that satisfy a non-vanishing condition on the quadratic part, the remaining 2 are rank 1 singularities that play a role in the geometry of completely integrable systems with fractional monodromy. We describe which of them are stable and which are unstable under infinitesimal completely integrable deformations of the system.

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EPrint type:Journal papers (printed)
Anno di Pubblicazione:2007
Key Words:singularities, completely integrable systems, bifurcation diagrams, infinitesimal deformations, cusps, local normal forms
Settori scientifico-disciplinari MIUR:Area 01 - Scienze matematiche e informatiche > MAT/07 Fisica matematica
Struttura di riferimento:Dipartimenti > Dipartimento di Matematica
Codice ID:121
Depositato il:24 Oct 2007
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