Concepedia

Kam Theory

KAM Theory is a mathematical framework within dynamical systems theory that characterizes the persistence of quasi-periodic motions in perturbed integrable Hamiltonian systems, distinguishing itself by establishing conditions under which invariant tori and stable orbits survive small nonlinear perturbations.

351

Publications

17.5K

Citations

466

Authors

279

Institutions

Publications per year

2017–2026

40

Variants

Kolmogorov-arnold-moser Theory

Parents

Publications

351

Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

C. Eugene Wayne · Communications in Mathematical Physics · 1990 · 467 citations

, , +11

On Landau damping

Clément Mouhot, Cédric Villani · Acta Mathematica · 2011 · 455 citations · Full text

, , +13

The knowledge economy, the KAM methodology and World Bank operations

Derek H. C. Chen, Carl J. Dahlman · SSRN Electronic Journal · 2006 · 390 citations · Full text

, , +13

Quasi-Periodic Solutions of Hamiltonian Perturbations of 2D Linear Schrodinger Equations

Jean Bourgain · Annals of Mathematics · 1998 · 384 citations · Full text

, , +15

The accuracy of symplectic integrators

Robert I. McLachlan, Pau Atela · Nonlinearity · 1992 · 381 citations

, , +17

1–5 of 351

Authors

466

  1. RD
    Rafael de la Llave

    The University of Texas at Austin, United States

    14 publications · 620 citations

    13

    h-index

  2. JY
    Jiangong You

    Nanjing University, China

    12 publications · 825 citations

    12

    h-index

  3. JG
    Jiansheng Geng

    Nanjing University, China

    10 publications · 602 citations

    10

    h-index

  4. MB
    Mikhail B. Sevryuk

    Institute of Energy Problems of Chemical Physics, Russia

    9 publications · 311 citations

    9

    h-index

  5. AC
    Alessandra Celletti

    University of Rome Tor Vergata, Italy

    9 publications · 426 citations

    9

    h-index

1–5 of 466

Institutions

279

  1. Nanjing University

    Nanjing, China

    14 h-index

    27 publications

    1.6K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    31 publications

    2.3K citations

  3. The University of Texas at Austin

    Austin, United States

    12 h-index

    15 publications

    723 citations

  4. Georgia Institute of Technology

    Atlanta, United States

    12 h-index

    15 publications

    450 citations

  5. Fudan University

    Shanghai, China

    11 h-index

    17 publications

    1.1K citations

  6. University of Rome Tor Vergata

    Rome, Italy

    9 h-index

    14 publications

    358 citations

  7. University of California, Berkeley

    Berkeley, United States

    9 h-index

    9 publications

    483 citations

  8. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    8 h-index

    13 publications

    1.1K citations

1–8 of 279

Venues

  1. Nonlinearity

    37 publications · 1.7K citations

    23

    h-index

  2. Ergodic Theory and Dynamical Systems

    17 publications · 749 citations

    15

    h-index

  3. Journal of Differential Equations

    15 publications · 657 citations

    14

    h-index

  4. Communications in Mathematical Physics

    16 publications · 1.6K citations

    14

    h-index

  5. Journal of Physics A Mathematical and General

    12 publications · 572 citations

    12

    h-index

1–5