Normal forms and embeddings for power-log transseries
From MaRDI portal
Publication:323705
DOI10.1016/j.aim.2016.08.030zbMath1366.37044arXiv1505.05929OpenAlexW2511402740MaRDI QIDQ323705
Jean-Philippe Rolin, Vesna Županović, Pavao Mardešić, Maja Resman
Publication date: 10 October 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.05929
Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Normal forms on manifolds (58K50) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)
Related Items
Double-scale Gevrey asymptotics for logarithmic type solutions to singularly perturbed linear initial value problems, Normalization of strongly hyperbolic logarithmic transseries and complex Dulac germs, The Fatou coordinate for parabolic Dulac germs, Tubular neighborhoods of orbits of power-logarithmic germs, Analytic moduli for parabolic Dulac germs, Fractal analysis of planar nilpotent singularities and numerical applications, Realization of analytic moduli for parabolic Dulac germs, Normal forms of hyperbolic logarithmic transseries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\varepsilon\)-neighborhoods of orbits and formal classification of parabolic diffeomorphisms
- Multiplicity of fixed points and growth of \(\varepsilon \)-neighborhoods of orbits
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- Singularities of vector fields
- Poincaré map in fractal analysis of spiral trajectories of planar vector fields
- Normal forms for certain singularities of vectorfields
- ε-neighbourhoods of orbits of parabolic diffeomorphisms and cohomological equations
- Discrete holomorphic local dynamical systems
- On Ordered Division Rings
- Logarithmic-exponential series
