Pregled bibliografske jedinice broj: 715440
The monodromy problem and the tangential focus problem.
The monodromy problem and the tangential focus problem. // Functional analysis and its applications, 44 (2010), 1; 22-35 doi:10.1007/s10688-010-0003-4 (međunarodna recenzija, članak, znanstveni)
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Naslov
The monodromy problem and the tangential focus problem.
Autori
Christopher, Colin ; Mardešić, Pavao
Izvornik
Functional analysis and its applications (0016-2663) 44
(2010), 1;
22-35
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
monodromy; Abelian integral; Hamiltonian system; perturbation
Sažetak
We consider families of Abelian integrals arising from perturbations of planar Hamiltonian systems. The tangential center focus problem asks for the conditions under which these integrals vanish identically. The problem is closely related to the monodromy problem, which asks when the monodromy of a vanishing cycle generates the whole homology of the level curves of the Hamiltonian. We solve both these questions for the case when the Hamiltonian is hyperelliptic. As a side-product, we solve the corresponding problems for the “0-dimensional Abelian integrals” defined by Gavrilov and Movasati.
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
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Mathscinet, Scopus
