Pregled bibliografske jedinice broj: 1124645
Confluence of Singularities of Nonlinear Differential Equations via Borel–Laplace Transformations
Confluence of Singularities of Nonlinear Differential Equations via Borel–Laplace Transformations // Journal of dynamical and control systems, 22 (2016), 2; 285-324 doi:10.1007/s10883-015-9290-7 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1124645 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Confluence of Singularities of Nonlinear Differential Equations via Borel–Laplace Transformations
Autori
Klimeš, Martin
Izvornik
Journal of dynamical and control systems (1079-2724) 22
(2016), 2;
285-324
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
ordinary differential equations ; irregular singularity ; unfolding ; confluence ; center manifold of a saddle-node singularity ; Borel summation
Sažetak
Borel summable divergent series usually appear when studying solutions of analytic ODE near a multiple singular point. Their sum, uniquely defined in certain sectors of the complex plane, is obtained via the Borel-Laplace transformation. This article shows how to generalize the Borel- Laplace transformation in order to investigate bounded solutions of parameter dependent nonlinear differential systems with two simple (regular) singular points unfolding a double (irregular) singularity. We construct parametric solutions on domains attached to both singularities, that converge locally uniformly to the sectoral Borel sums. Our approach provides a unified treatment for all values of the 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
