Concepedia

Hyperbolic Fixed Points

Hyperbolic Fixed Points is a type of fixed point in dynamical systems characterized by the property that the Jacobian matrix of the system evaluated at the fixed point has no eigenvalues with zero real part, ensuring local stability or instability is preserved under small perturbations.

164

Publications

7.7K

Citations

259

Authors

204

Institutions

Publications per year

2017–2026

17

Parents

Publications

164

The Cauchy problem for quasi-linear symmetric hyperbolic systems

Tosio Kato · Archive for Rational Mechanics and Analysis · 1975 · 920 citations

, , +12

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

Geometric Theory of Dynamical Systems: An Introduction.

Joel W. Robbin, Jacob Palis, Welington de Melo · American Mathematical Monthly · 1984 · 454 citations

, , +16

Symbolic dynamics and hyperbolic dynamic systems

V. М. Alekseev, M V Yakobson · Physics Reports · 1981 · 248 citations

, , +14

Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation

Jack K. Hale, Geneviève Raugel · Journal of Differential Equations · 1988 · 213 citations

, , +13

1–5 of 164

Authors

259

  1. MB
    Marcy Barge

    Montana State University, United States

    3 publications · 54 citations

    3

    h-index

  2. JF
    John Franks

    Northwestern University, United States

    3 publications · 84 citations

    3

    h-index

  3. CS
    Carles Simó

    Universitat de Barcelona, Spain

    3 publications · 94 citations

    3

    h-index

  4. KS
    Knut S. Eckhoff

    University of Bergen, Norway

    2 publications · 71 citations

    2

    h-index

  5. MB
    Mário Bessa

    Universidade do Porto, Portugal

    2 publications · 29 citations

    2

    h-index

1–5 of 259

Institutions

204

  1. University of Toronto

    Toronto, Canada

    5 h-index

    5 publications

    94 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    157 citations

  3. Northwestern University

    Evanston, United States

    3 h-index

    4 publications

    87 citations

  4. Politecnico di Torino

    Turin, Italy

    3 h-index

    3 publications

    143 citations

  5. Université Paris-Sud

    Orsay, France

    3 h-index

    4 publications

    122 citations

  6. Kyoto University

    Kyoto, Japan

    2 h-index

    2 publications

    50 citations

  7. Brown University

    Providence, United States

    2 h-index

    3 publications

    471 citations

  8. University of Bergen

    Bergen, Norway

    2 h-index

    2 publications

    71 citations

1–8 of 204

Venues

  1. Journal of Differential Equations

    12 publications · 619 citations

    12

    h-index

  2. Ergodic Theory and Dynamical Systems

    8 publications · 264 citations

    8

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 6 publications · 144 citations

    6

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 6 publications · 90 citations

    6

    h-index

  5. American Journal of Mathematics

    5 publications · 315 citations

    5

    h-index

1–5