Back to Search
Start Over
Normal forms of hyperbolic logarithmic transseries
- Source :
- Journal of Differential Equations. 348:154-190
- Publication Year :
- 2023
- Publisher :
- Elsevier BV, 2023.
-
Abstract
- 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.<br />Comment: 33 pages, 0 figures
- Subjects :
- Applied Mathematics
Mathematics::History and Overview
FOS: Mathematics
fixed point theory
formal normal forms
hyperbolic fixed point
Koenigs sequence
linearization
logarithmic transseries
[MATH] Mathematics [math]
Dynamical Systems (math.DS)
Mathematics - Dynamical Systems
[MATH]Mathematics [math]
34C20, 37C25, 47H10, 39B12, 46A19, 26A12, 12J15
Analysis
Subjects
Details
- ISSN :
- 00220396
- Volume :
- 348
- Database :
- OpenAIRE
- Journal :
- Journal of Differential Equations
- Accession number :
- edsair.doi.dedup.....fe3093fe6fb1c9aae5573b49adce15ee
- Full Text :
- https://doi.org/10.1016/j.jde.2022.12.002