Concepedia

Birkhoff Normal Forms

Birkhoff Normal Forms is a mathematical framework in Hamiltonian mechanics that, through a canonical transformation, reduces a Hamiltonian system near an equilibrium point to a normal form by systematically eliminating non-resonant terms in its power series expansion, thereby revealing its integrable structure and dynamical symmetries.

174

Publications

7.7K

Citations

234

Authors

171

Institutions

Publications per year

2017–2026

27

Variants

Birkhoff Normal Form

Parents

Publications

174

Introduction to bifurcation theory

John D. Crawford · Reviews of Modern Physics · 1991 · 411 citations · Full text

, , +17

Lie series and invariant functions for analytic symplectic maps

Alex J. Dragt, John M. Finn · Journal of Mathematical Physics · 1976 · 362 citations

, , +16

Approximate constants of motion for classically chaotic vibrational dynamics: Vague tori, semiclassical quantization, and classical intramolecular energy flow

Randall B. Shirts, William P. Reinhardt · The Journal of Chemical Physics · 1982 · 274 citations

, , +17

Semiclassical calculations of vibrational energy levels for nonseparable systems using the Birkhoff–Gustavson normal form

R. T. Swimm, J. B. Delos · The Journal of Chemical Physics · 1979 · 233 citations

, , +15

Birkhoff normal form for partial differential equations with tame modulus

Dario Bambusi, Benoît Grébert · Duke Mathematical Journal · 2006 · 230 citations

, , +16

1–5 of 174

Authors

234

  1. TK
    Thomas Kappeler

    University of Zurich, Switzerland

    7 publications · 131 citations

    7

    h-index

  2. BG
    Benoît Grébert

    Laboratoire de Mathématiques Jean Leray, France

    6 publications · 523 citations

    6

    h-index

  3. DB
    Dario Bambusi

    University of Milan, Italy

    6 publications · 677 citations

    6

    h-index

  4. YZ
    Yi Zhang

    Suzhou University of Science and Technology, China

    6 publications · 128 citations

    6

    h-index

  5. HW
    Huibin Wu

    Beijing Institute of Technology, China

    5 publications · 87 citations

    5

    h-index

1–5 of 234

Institutions

171

  1. Suzhou University of Science and Technology

    Suzhou, China

    11 h-index

    19 publications

    480 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    13 publications

    859 citations

  3. Beijing Institute of Technology

    Beijing, China

    10 h-index

    22 publications

    454 citations

  4. Laboratoire de Mathématiques Jean Leray

    Nantes, France

    7 h-index

    9 publications

    557 citations

  5. University of Zurich

    Zurich, Switzerland

    7 h-index

    11 publications

    322 citations

  6. Nantes Université

    Nantes, France

    7 h-index

    9 publications

    615 citations

  7. Institut de recherche mathématique de Rennes

    Rennes, France

    6 h-index

    7 publications

    245 citations

  8. University of Milan

    Milan, Italy

    5 h-index

    6 publications

    632 citations

1–8 of 171

Venues

  1. Journal of Physics A Mathematical and General

    7 publications · 235 citations

    7

    h-index

  2. Nonlinearity

    6 publications · 127 citations

    6

    h-index

  3. Communications in Mathematical Physics

    6 publications · 406 citations

    6

    h-index

  4. The Journal of Chemical Physics

    5 publications · 802 citations

    5

    h-index

  5. Journal of Mathematical Physics

    5 publications · 558 citations

    5

    h-index

1–5