Pregled bibliografske jedinice broj: 1124636
Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity
Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity // Symmetry Integrability and Geometry-Methods and Applications, 16 (2020), 006, 46 doi:10.3842/SIGMA.2020.006 (međunarodna recenzija, članak, znanstveni)
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Naslov
Analytic Classification of Families of Linear Differential Systems Unfolding a Resonant Irregular Singularity
Autori
Klimeš, Martin
Izvornik
Symmetry Integrability and Geometry-Methods and Applications (1815-0659) 16
(2020);
006, 46
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
linear differential equations ; confluence of singularities ; Stokes phenomenon ; monodromy ; analytic classification ; moduli space ; biconfluent hypergeometric equation
Sažetak
We give a complete classification of analytic equivalence of germs of parametric families of systems of complex linear differential equations unfolding a generic resonant singularity of Poincare rank 1 in dimension n = 2 whose leading matrix is a Jordan bloc. The moduli space of analytic equivalence classes is described in terms of a tuple of formal invariants and a single analytic invariant obtained from the trace of monodromy, and analytic normal forms are given. We also explain the underlying phenomena of confluence of two simple singularities and of a turning point, the associated Stokes geometry, and the change of order of Borel summability of formal solutions in dependence on a complex parameter.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
