Nonautonomous equations and almost reducibility sets
For a nonautonomous differential equation, we consider the almost reducibility property that corresponds to the reduction of the original equation to an autonomous equation via a coordinate change preserving the Lyapunov exponents. In particular, we characterize the class of equations to which a giv...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2021.1.11 |
| Online Access: | http://acta.bibl.u-szeged.hu/73663 |
| LEADER | 01532nas a2200217 i 4500 | ||
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| 005 | 20211108094417.0 | ||
| 008 | 211108s2021 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2021.1.11 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Barreira Luis | |
| 245 | 1 | 0 | |a Nonautonomous equations and almost reducibility sets |h [elektronikus dokumentum] / |c Barreira Luis |
| 260 | |c 2021 | ||
| 300 | |a 14 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a For a nonautonomous differential equation, we consider the almost reducibility property that corresponds to the reduction of the original equation to an autonomous equation via a coordinate change preserving the Lyapunov exponents. In particular, we characterize the class of equations to which a given equation is almost reducible. The proof is based on a characterization of the almost reducibility to an autonomous equation with a diagonal coefficient matrix. We also characterize the notion of almost reducibility for an equation x 0 = A(t, θ)x depending continuously on a real parameter θ. In particular, we show that the almost reducibility set is always an Fσδ-set and for any Fσδ-set containing zero we construct a differential equation with that set as its almost reducibility set. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Valls Claudia |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73663/1/ejqtde_2021_011.pdf |z Dokumentum-elérés |