Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle
From MaRDI portal
Publication:2252321
DOI10.1016/j.jmaa.2014.05.056zbMath1297.34054OpenAlexW2003595233MaRDI QIDQ2252321
Publication date: 17 July 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.056
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)
Cites Work
- The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings
- Gevrey and analytic local models for families of vector fields
- Finitely determined singularities of formal vector fields
- Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
- Convergence of normal form transformations: The Role of symmetries
- Analytic integrable systems: analytic normalization and embedding flows
- An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane
- Orbital linearization around equilibria of vector fields in \(\mathbb R^n\) and Lie symmetries
- Analytic normalization of analytic integrable systems and the embedding flows
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
- Linearization of hyperbolic resonant germs
- Robust normal forms for saddles of analytic vector fields
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Gevrey asymptotics of series in Mourtada-type compensators used for linearization of an analytic \({1:-1}\) resonant saddle
