Concepedia

Partially Hyperbolic Dynamics

Partially Hyperbolic Dynamics is a class of dynamical systems in which the tangent bundle splits into invariant subbundles under the derivative map, with one subbundle exhibiting uniform contraction, another uniform expansion, and a third central subbundle that is dominated by the other two in terms of hyperbolicity, thus generalizing uniformly hyperbolic systems by allowing for intermediate, non-hyperbolic behavior.

118

Publications

5.4K

Citations

132

Authors

103

Institutions

Publications per year

2017–2026

20

Variants

Partial Hyperbolicity

Parents

Publications

118

SRB measures for partially hyperbolic systems whose central direction is mostly expanding

Christian Bonatti, Marcelo Viana · Inventiones mathematicae · 2000 · 356 citations

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PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

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

, , +9

Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy

Bernard Hanouzet, Roberto Natalini · Archive for Rational Mechanics and Analysis · 2003 · 238 citations

, , +15

SRB measures for partially hyperbolic systems whose central direction is mostly contracting

Christian Bonatti, Marcelo Viana · Israel Journal of Mathematics · 2000 · 225 citations

, , +5

Limit theorems for partially hyperbolic systems

Dmitry Dolgopyat · Transactions of the American Mathematical Society · 2003 · 223 citations · Full text

, , +9

1–5 of 118

Authors

132

  1. LJ
    Lorenzo J. Díaz

    Pontifícia Universidade Católica do Rio de Janeiro, Brazil

    9 publications · 236 citations

    9

    h-index

  2. FR
    Federico Rodriguez Hertz

    Pennsylvania State University, United States

    7 publications · 297 citations

    7

    h-index

  3. RU
    Raúl Ures

    Universidad de la República de Uruguay, Uruguay

    7 publications · 309 citations

    7

    h-index

  4. CB
    Christian Bonatti

    Institut de Mathématiques de Bourgogne, France

    6 publications · 749 citations

    6

    h-index

  5. JF
    José F. Alves

    Universidade do Porto, Portugal

    6 publications · 158 citations

    6

    h-index

1–5 of 132

Institutions

103

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    22 publications

    1.5K citations

  2. Universidade do Porto

    Porto, Portugal

    13 h-index

    16 publications

    671 citations

  3. Pontifícia Universidade Católica do Rio de Janeiro

    Rio de Janeiro, Brazil

    9 h-index

    13 publications

    416 citations

  4. Universidade Federal da Bahia

    Salvador, Brazil

    9 h-index

    9 publications

    215 citations

  5. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    8 h-index

    8 publications

    753 citations

  6. Universidad de la República de Uruguay

    Montevideo, Uruguay

    7 h-index

    16 publications

    960 citations

  7. Universidade Federal do Rio de Janeiro

    Rio de Janeiro, Brazil

    7 h-index

    12 publications

    364 citations

  8. Institut de Mathématiques de Bourgogne

    Dijon, France

    5 h-index

    6 publications

    406 citations

1–8 of 103

Venues

  1. Ergodic Theory and Dynamical Systems

    19 publications · 738 citations

    15

    h-index

  2. Discrete and Continuous Dynamical Systems

    DCDS · 9 publications · 284 citations

    9

    h-index

  3. Nonlinearity

    8 publications · 176 citations

    8

    h-index

  4. Inventiones mathematicae

    5 publications · 662 citations

    5

    h-index

  5. Advances in Mathematics

    4 publications · 173 citations

    4

    h-index

1–5