Concepedia

Invariant Foliations

Invariant Foliations is a mathematical construct in dynamical systems theory consisting of a decomposition of a phase space into immersed submanifolds, each of which is preserved under the system’s evolution and aligns with the local directional expansion or contraction characteristic of hyperbolic dynamics.

274

Publications

10.6K

Citations

355

Authors

243

Institutions

Publications per year

2017–2026

24

Parents

Publications

274

Interval Exchange Transformations and Measured Foliations

Howard Masur · Annals of Mathematics · 1982 · 729 citations

, , +8

Cycles for the dynamical study of foliated manifolds and complex manifolds

Dennis Sullivan · Inventiones mathematicae · 1976 · 362 citations

, , +11

PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

Michael Brin, Ja B Pesin · Mathematics of the USSR-Izvestiya · 1974 · 311 citations

, , +9

On the conservation of hyperbolic invariant tori for Hamiltonian systems

Samuel M. Graff · Journal of Differential Equations · 1974 · 216 citations

, , +13

Anti-invariant Riemannian submersions from almost Hermitian manifolds

Bayram Şahin · Open Mathematics · 2010 · 160 citations · Full text

, , +14

1–5 of 274

Authors

355

  1. KL
    Kening Lu

    Brigham Young University, United States

    6 publications · 256 citations

    6

    h-index

  2. AL
    Alcides Lins Neto

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    4 publications · 248 citations

    4

    h-index

  3. AK
    A. Katok

    Pennsylvania State University, United States

    4 publications · 202 citations

    4

    h-index

  4. JV
    Jorge Vitório Pereira

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    4 publications · 137 citations

    4

    h-index

  5. AK
    Anatole Katok

    Pennsylvania State University, United States

    3 publications · 130 citations

    3

    h-index

1–5 of 355

Institutions

243

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    16 publications

    540 citations

  2. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    10 h-index

    10 publications

    316 citations

  3. Pennsylvania State University

    State College, United States

    6 h-index

    8 publications

    293 citations

  4. Lomonosov Moscow State University

    Moscow, Russia

    6 h-index

    6 publications

    169 citations

  5. Universidade Federal de Minas Gerais

    Belo Horizonte, Brazil

    5 h-index

    6 publications

    94 citations

  6. University of Warwick

    Coventry, United Kingdom

    5 h-index

    6 publications

    373 citations

  7. University of Illinois Urbana-Champaign

    Urbana, United States

    5 h-index

    7 publications

    353 citations

  8. Institut de recherche mathématique de Rennes

    Rennes, France

    5 h-index

    7 publications

    299 citations

1–8 of 243

Venues

  1. Ergodic Theory and Dynamical Systems

    17 publications · 586 citations

    14

    h-index

  2. Sbornik Mathematics

    11 publications · 279 citations

    11

    h-index

  3. Inventiones mathematicae

    10 publications · 846 citations

    10

    h-index

  4. Journal of Differential Equations

    10 publications · 571 citations

    10

    h-index

  5. Annals of Mathematics

    8 publications · 1K citations

    8

    h-index

1–5