Concepedia

Liouville Integrability

Liouville Integrability is a property of a Hamiltonian system characterized by the existence of a sufficient number of independent, globally defined, Poisson-commuting first integrals in involution, such that the system’s phase space trajectories can be solved by quadratures.

202

Publications

8.6K

Citations

266

Authors

212

Institutions

Publications per year

2017–2026

46

Variants

Liouville-arnold Integrability

Parents

Publications

202

Crystalline Order in Two Dimensions

N. David Mermin · Physical Review · 1968 · 1.3K citations

, , +7

The problem of integration in finite terms

Robert H. Risch · Transactions of the American Mathematical Society · 1969 · 321 citations · Full text

, , +14

Pseudointegrable systems in classical and quantum mechanics

P J Richens, Michael Berry · Physica D Nonlinear Phenomena · 1981 · 307 citations

, , +14

Generalized Liouville method of integration of Hamiltonian systems

A. S. Mishchenko · Functional Analysis and Its Applications · 1978 · 284 citations

, , +14

On Liouville integrability of zero-curvature equations and the Yang hierarchy

Tu Gui-Zhang · Journal of Physics A Mathematical and General · 1989 · 273 citations

, , +14

1–5 of 202

Authors

266

  1. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    8 publications · 252 citations

    8

    h-index

  2. DC
    Dongho Chae

    Seoul National University, South Korea

    4 publications · 150 citations

    4

    h-index

  3. AJ
    Andrzej J. Maciejewski

    University of Zielona Góra, Poland

    3 publications · 104 citations

    3

    h-index

  4. GR
    Guillaume Remy

    Columbia University, United States

    1 publications · 20 citations

    3

    h-index

  5. JL
    Jaume Llibre

    Universitat Autònoma de Barcelona, Spain

    3 publications · 66 citations

    3

    h-index

1–5 of 266

Institutions

212

  1. University of South Florida

    Tampa, United States

    7 h-index

    9 publications

    259 citations

  2. Fudan University

    Shanghai, China

    7 h-index

    7 publications

    248 citations

  3. Shandong University of Science and Technology

    Qingdao, China

    6 h-index

    11 publications

    391 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    6 publications

    237 citations

  5. Lomonosov Moscow State University

    Moscow, Russia

    4 h-index

    4 publications

    70 citations

  6. Département de mathématiques et applications

    Paris, France

    4 h-index

    4 publications

    147 citations

  7. Commissariat à l'Énergie Atomique et aux Énergies Alternatives

    Paris, France

    4 h-index

    5 publications

    97 citations

  8. Joint Institute for Nuclear Research

    Dubna, Russia

    4 h-index

    5 publications

    93 citations

1–8 of 212

Venues

  1. Journal of Mathematical Physics

    16 publications · 593 citations

    13

    h-index

  2. 8

    h-index

  3. Sbornik Mathematics

    6 publications · 118 citations

    6

    h-index

  4. Journal of Functional Analysis

    5 publications · 340 citations

    5

    h-index

  5. Journal of Physics A Mathematical and General

    5 publications · 422 citations

    5

    h-index

1–5