Pregled bibliografske jedinice broj: 1124640
Stokes Phenomenon and Confluence in Non-autonomous Hamiltonian Systems
Stokes Phenomenon and Confluence in Non-autonomous Hamiltonian Systems // Qualitative Theory of Dynamical Systems, 17 (2018), 3; 665-708 doi:10.1007/s12346-018-0269-0 (međunarodna recenzija, članak, znanstveni)
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Naslov
Stokes Phenomenon and Confluence in Non-autonomous Hamiltonian Systems
Autori
Klimeš, Martin
Izvornik
Qualitative Theory of Dynamical Systems (1575-5460) 17
(2018), 3;
665-708
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
non-autonomous Hamiltonian systems ; irregular singularity ; non-linear Stokes phenomenon ; wild monodromy ; confluence ; local analytic classification ; Painleve equations
Sažetak
This article studies a confluence of a pair of regular singular points to an irregular one in a generic family of time-dependent Hamiltonian systems in dimension 2. This is a general setting for the understanding of the degeneration of the sixth Painlev, equation to the fifth one. The main result is a theorem of sectoral normalization of the family to an integrable formal normal form, through which is explained the relation between the local monodromy operators at the two regular singularities and the non-linear Stokes phenomenon at the irregular singularity of the limit system. The problem of analytic classification is also addressed.
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
