Repozitorij Univerze v Novi Gorici

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Naslov:Stability by linear approximation for time scale dynamical systems
Avtorji:ID Kryzhevich, Sergey, University of Nova Gorica (Avtor)
ID Nazarov, Alexander, Saint-Petersburg State University (Avtor)
Datoteke:URL http://www.sciencedirect.com/science/article/pii/S0022247X17300343
 
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UNG - Univerza v Novi Gorici
Opis:We study systems on time scales that are generalizations of classical differential or difference equations and appear in numerical methods. In this paper we consider linear systems and their small nonlinear perturbations. In terms of time scales and of eigenvalues of matrices we formulate conditions, sufficient for stability by linear approximation. For non-periodic time scales we use techniques of central upper Lyapunov exponents (a common tool of the theory of linear ODEs) to study stability of solutions. Also, time scale versions of the famous Chetaev’s theorem on conditional instability are proved. In a nutshell, we have developed a completely new technique in order to demonstrate that methods of non-autonomous linear ODE theory may work for time-scale dynamics.
Ključne besede:Time scale system, Linearization, Lyapunov functions, Millionschikov rotations, Stability
Leto izida:2017
Št. strani:1911-1934
Številčenje:2, 449
PID:20.500.12556/RUNG-3021-6f6047f3-9a52-fdef-e71a-cbfbcaee9576 Novo okno
COBISS.SI-ID:4718075 Novo okno
DOI:http://dx.doi.org/10.1016/j.jmaa.2017.01.012 Novo okno
NUK URN:URN:SI:UNG:REP:RZ6ITMLK
Datum objave v RUNG:15.03.2017
Število ogledov:3955
Število prenosov:160
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Gradivo je del revije

Naslov:Journal of Mathematical Analysis and Applications
Založnik:Elsevier
Leto izida:2017
ISSN:0022-247X

Licence

Licenca:CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by/4.0/deed.sl
Opis:To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
Začetek licenciranja:15.03.2017

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