Normal forms of hyperbolic logarithmic transseries (CROSBI ID 317717)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Peran, Dino ; Resman, Maja ; Rolin, Jean- Philippe ; Servi, Tamara
engleski
Normal forms of hyperbolic logarithmic transseries
We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies.
fixed point theory ; formal normal forms ; hyperbolic fixed point ; Koenigs sequence ; linearization ; logarithmic transseries
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Podaci o izdanju
348
2023.
154-190
objavljeno
0022-0396
1090-2732
10.1016/j.jde.2022.12.002