Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems
type: Item
instance of: scholarly article
title: Construction of Darboux coordinates and Poincaré-Birkhoff normal forms in noncanonical Hamiltonian systems
zbMATH Open document ID: 1376.81020
author: Andrej Junginger
author: Jörg Main
author: Günter Wunner
published in: Physica D
publication date: 2017-12-15T00:00:00Z
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 81T80
Mathematics Subject Classification ID: 81-04
zbMATH DE Number: 6819166
zbMATH Keywords: Poincaré-Birkhoff normal form
zbMATH Keywords: quantum dynamics
zbMATH Keywords: canonical coordinate
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.physd.2017.02.014
OpenAlex ID: W2593241432
cites work: Q3842649
cites work: Wigner's dynamical transition state theory in phase space: classical and quantum
cites work: Analytic dynamical corrections to transition state theory
cites work: The geometry of reaction dynamics
cites work: Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed
cites work: Q5762369
cites work: Transition state theory for wave packet dynamics: I. Thermal decay in metastable Schrödinger systems
cites work: Transition state theory for wave packet dynamics. II: Thermal decay of Bose-Einstein condensates with long-range interaction
cites work: Q4692311
cites work: Linear grading function and further reduction of normal forms
cites work: Unique normal forms for vector fields and Hamiltonians
cites work: Further reductions of normal forms for dynamical systems
cites work: Hypernormal form theory: foundations and algorithms
cites work: Normal form theory and spectral sequences.
DOI: 10.1016/J.PHYSD.2017.02.014
Recommended article: Birkhoff normalization, bifurcations of Hamiltonian systems and the deprits formula
Recommended article: Q5450514
Recommended article: Non-autonomous normal forms for Hamiltonian systems
Recommended article: Hamilton--Jacobi theory for Hamiltonian systems with non-canonical symplectic structures
Recommended article: Birkhoff normal forms for Hamiltonian PDEs in their energy space
Recommended article: On the normal forms of Hamiltonian systems
Recommended article: Q3977140
Recommended article: Integrability and non-integrability of Hamiltonian normal forms
Recommended article: Q5498280
Recommended article: Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
description: scientific article; zbMATH DE number 6819166