Concepedia

Hamiltonian Normal Forms

Hamiltonian Normal Forms is a mathematical framework in the theory of dynamical systems that, through a series of canonical transformations, simplifies the local structure of a Hamiltonian system near an equilibrium or periodic orbit by eliminating non-essential terms in its power series expansion, thereby revealing intrinsic dynamical features such as stability and bifurcations.

622

Publications

28.4K

Citations

854

Authors

551

Institutions

Publications per year

2017–2026

59

Parents

Publications

622

Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum

Journal of Mathematical Physics · 2002 · 842 citations · Full text

, , +14

Periodic solutions of hamiltonian systems

Paul H. Rabinowitz · Communications on Pure and Applied Mathematics · 1978 · 735 citations

, , +13

Canonical Variables for General Relativity

R. Arnowitt, S. Deser, Charles W. Misner · Physical Review · 1960 · 684 citations

, , +16

A restricted class of exact eigenstates of the pairing-force Hamiltonian

R. W. Richardson · Physics Letters · 1963 · 542 citations · Full text

, , +6

Hamiltonian group actions and dynamical systems of calogero type

David Kazhdan, Bertram Kostant, S. Sternberg · Communications on Pure and Applied Mathematics · 1978 · 459 citations

, , +16

1–5 of 622

Authors

854

  1. RŠ
    Roman Šimon Hilscher

    Masaryk University, Czechia

    10 publications · 234 citations

    10

    h-index

  2. KR
    Kenneth R. Meyer

    University of Cincinnati, United States

    6 publications · 296 citations

    6

    h-index

  3. JL
    Jaume Llibre

    Universitat Autònoma de Barcelona, Spain

    6 publications · 130 citations

    6

    h-index

  4. PŠ
    Peter Šepitka

    Masaryk University, Czechia

    5 publications · 118 citations

    5

    h-index

  5. FV
    Ferdinand Verhulst

    Utrecht University, Netherlands

    5 publications · 113 citations

    5

    h-index

1–5 of 854

Institutions

551

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    25 publications

    926 citations

  2. Masaryk University

    Brno, Czechia

    9 h-index

    13 publications

    281 citations

  3. Universitat Autònoma de Barcelona

    Cerdanyola del Vallès, Spain

    9 h-index

    16 publications

    603 citations

  4. Shandong University

    Jinan, China

    8 h-index

    12 publications

    461 citations

  5. University of California, Berkeley

    Berkeley, United States

    7 h-index

    12 publications

    879 citations

  6. Tsinghua University

    Beijing, China

    7 h-index

    12 publications

    574 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    7 h-index

    8 publications

    232 citations

  8. University of Bologna

    Bologna, Italy

    6 h-index

    13 publications

    500 citations

1–8 of 551

Venues

  1. Journal of Differential Equations

    51 publications · 2.3K citations

    29

    h-index

  2. Physics Letters A

    40 publications · 1.2K citations

    21

    h-index

  3. Physica D Nonlinear Phenomena

    22 publications · 1.2K citations

    18

    h-index

  4. Communications in Mathematical Physics

    22 publications · 1.2K citations

    17

    h-index

  5. Nonlinearity

    14 publications · 591 citations

    13

    h-index

1–5