Normalization in Lie algebras via mould calculus and applications
DOI10.1134/S1560354717060041zbMath1383.37049arXiv1604.07142OpenAlexW2343557244MaRDI QIDQ1702806
Publication date: 28 February 2018
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.07142
Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computing normal forms and formal invariants of dynamical systems by means of word series
- Normalization in Banach scale Lie algebras via mould calculus and applications
- The Schrödinger equation and canonical perturbation theory
- Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
- Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
- Perturbation theory for linear operators.
- Quantization of the classical Lie algorithm in the Bargmann representation
- Word series for dynamical systems and their numerical integrators
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Zur Charakterisierung Liescher Elemente in freien Algebren
- Mould expansions for the saddle-node and resurgence monomials
- Formal differential equations and renormalization
- Harmonic Analysis in Phase Space. (AM-122)
- From dynamical systems to renormalization
This page was built for publication: Normalization in Lie algebras via mould calculus and applications
