Pregled bibliografske jedinice broj: 715445
Pseudo-Abelian integrals along Darboux cycles
Pseudo-Abelian integrals along Darboux cycles // Proceedings of the London Mathematical Society, 97 (2008), 3; 669-688 doi:10.1112/plms/pdn015 (međunarodna recenzija, članak, znanstveni)
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Naslov
Pseudo-Abelian integrals along Darboux cycles
Autori
Bobieński, Marcin ; Mardešić, Pavao
Izvornik
Proceedings of the London Mathematical Society (0024-6115) 97
(2008), 3;
669-688
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
pseudo-abelian integral; Darboux integrable
Sažetak
The authors study polynomial perturbations of integrable, non-Hamiltonian systems with first integral of Darboux-type with positive exponents. Under the assumption that the genuine system admits a periodic annulus it is known that the linear part of the Poincaré return map is given by pseudo-Abelian integrals. The main results of the paper describe analytic properties of these integrals. Namely, it is shown that iterated variations of these integrals vanish identically and that generically the number of their zeros is locally uniformly bounded.
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
