Concepedia

Area-preserving Maps

Area-Preserving Maps is a mathematical transformation in the class of dynamical maps distinguished by preserving the Lebesgue measure in phase space, ensuring that the determinant of the Jacobian matrix of the map equals one almost everywhere.

383

Publications

15.6K

Citations

557

Authors

348

Institutions

Publications per year

2017–2026

39

Variants

Area-preserving Mappings

Parents

Publications

383

Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'

Michael Berry · European Journal of Physics · 1981 · 378 citations

, , +17

The Dynamics on Three-Dimensional Strictly Convex Energy Surfaces

Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder · Annals of Mathematics · 1998 · 263 citations

, , +14

Deviation of Ergodic Averages for Area-Preserving Flows on Surfaces of Higher Genus

Giovanni Forni · Annals of Mathematics · 2002 · 236 citations

, , +6

Markov tree model of transport in area-preserving maps

James D. Meiss, Edward Ott · Physica D Nonlinear Phenomena · 1986 · 236 citations

, , +12

Genericity of zero Lyapunov exponents

Jairo Bochi · Ergodic Theory and Dynamical Systems · 2002 · 232 citations · Full text

, , +12

1–5 of 383

Authors

557

  1. JD
    James D. Meiss

    University of Colorado Boulder, United States

    13 publications · 929 citations

    13

    h-index

  2. RS
    Robert S. MacKay

    University of Warwick, United Kingdom

    10 publications · 931 citations

    10

    h-index

  3. ED
    Edson D. Leonel

    Universidade Estadual Paulista (Unesp), Brazil

    9 publications · 285 citations

    9

    h-index

  4. JF
    John Franks

    Northwestern University, United States

    8 publications · 549 citations

    8

    h-index

  5. JM
    J. M. Greene

    Princeton Plasma Physics Laboratory, United States

    6 publications · 787 citations

    6

    h-index

1–5 of 557

Institutions

348

  1. The University of Texas at Austin

    Austin, United States

    12 h-index

    21 publications

    1.6K citations

  2. Universidade de São Paulo

    São Paulo, Brazil

    10 h-index

    14 publications

    368 citations

  3. University of Warwick

    Coventry, United Kingdom

    10 h-index

    17 publications

    842 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    18 publications

    492 citations

  5. University of Colorado Boulder

    Boulder, United States

    9 h-index

    11 publications

    403 citations

  6. Northwestern University

    Evanston, United States

    8 h-index

    8 publications

    412 citations

  7. University of Bristol

    Bristol, United Kingdom

    7 h-index

    8 publications

    233 citations

  8. Fusion (United States)

    Houston, United States

    7 h-index

    12 publications

    732 citations

1–8 of 348

Venues

  1. Physica D Nonlinear Phenomena

    24 publications · 1.9K citations

    19

    h-index

  2. Ergodic Theory and Dynamical Systems

    19 publications · 1K citations

    16

    h-index

  3. Nonlinearity

    20 publications · 638 citations

    15

    h-index

  4. Journal of Physics A Mathematical and General

    13 publications · 408 citations

    13

    h-index

  5. Physical Review Letters

    PRL · 16 publications · 848 citations

    13

    h-index

1–5