Concepedia

Hyperbolic Sets

Hyperbolic Sets is a mathematical construct in dynamical systems theory characterized by the invariant splitting of the tangent bundle into uniformly expanding and contracting subspaces under the system's derivative map.

161

Publications

7.8K

Citations

214

Authors

149

Institutions

Publications per year

2017–2026

10

Parents

Publications

161

The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

Sheldon E. Newhouse · Publications mathématiques de l IHÉS · 1979 · 548 citations · Full text

, , +11

Repellers for real analytic maps

David Ruelle · Ergodic Theory and Dynamical Systems · 1982 · 469 citations · Full text

, , +7

Stable manifolds for hyperbolic sets

Morris W. Hirsch, Charles Pugh · Bulletin of the American Mathematical Society · 1969 · 403 citations · Full text

, , +12

Valuations, Trees, and Degenerations of Hyperbolic Structures, I

John W. Morgan, Peter B. Shalen · Annals of Mathematics · 1984 · 374 citations

, , +10

Finding finite-time invariant manifolds in two-dimensional velocity fields

George Haller · Chaos An Interdisciplinary Journal of Nonlinear Science · 2000 · 344 citations

, , +16

1–5 of 161

Authors

214

  1. LB
    Luís Barreira

    Instituto Superior Técnico, Portugal

    6 publications · 529 citations

    6

    h-index

  2. CA
    C. A. Morales

    Universidade Federal do Rio de Janeiro, Brazil

    5 publications · 103 citations

    5

    h-index

  3. JP
    Jacob Palis

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    4 publications · 386 citations

    4

    h-index

  4. CB
    Christian Bonatti

    Institut de Mathématiques de Bourgogne, France

    4 publications · 216 citations

    4

    h-index

  5. KL
    Ka‐Sing Lau

    Chinese University of Hong Kong, Hong Kong SAR China

    3 publications · 107 citations

    3

    h-index

1–5 of 214

Institutions

149

  1. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    6 h-index

    6 publications

    500 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    8 publications

    299 citations

  3. Institut de Mathématiques de Bourgogne

    Dijon, France

    6 h-index

    6 publications

    271 citations

  4. University of Maryland, College Park

    College Park, United States

    5 h-index

    8 publications

    219 citations

  5. Université Paris-Sud

    Orsay, France

    4 h-index

    4 publications

    59 citations

  6. University of North Texas

    Denton, United States

    3 h-index

    3 publications

    90 citations

  7. Universidade do Porto

    Porto, Portugal

    3 h-index

    5 publications

    96 citations

  8. California Institute of Technology

    Pasadena, United States

    3 h-index

    6 publications

    356 citations

1–8 of 149

Venues

  1. Ergodic Theory and Dynamical Systems

    21 publications · 1.4K citations

    17

    h-index

  2. Nonlinearity

    9 publications · 361 citations

    9

    h-index

  3. Discrete and Continuous Dynamical Systems

    DCDS · 9 publications · 219 citations

    9

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 9 publications · 384 citations

    9

    h-index

  5. Annals of Mathematics

    5 publications · 711 citations

    5

    h-index

1–5