Concepedia

Morse-smale Complexes

Morse-Smale Complexes is a combinatorial topological structure that partitions a manifold into cells based on the gradient flow of a Morse-Smale function, where each cell is defined by the intersection of stable and unstable manifolds of critical points, capturing the hierarchical decomposition of the domain according to ascending and descending gradients.

103

Publications

6K

Citations

135

Authors

78

Institutions

Publications per year

2017–2026

14

Parents

Publications

103

Geometric Theory of Dynamical Systems: An Introduction.

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

, , +16

On Morse-Smale dynamical systems

Jacob Palis · Topology · 1969 · 396 citations

, , +10

Hierarchical Morse--Smale Complexes for Piecewise Linear 2-Manifolds

Herbert Edelsbrunner, John Harer, Afra Zomorodian · Discrete & Computational Geometry · 2003 · 294 citations · Full text

, , +11

The Combinatorial Theory of Complexes

James Alexander · Annals of Mathematics · 1930 · 273 citations

, , +11

Morse-smale complexes for piecewise linear 3-manifolds

Herbert Edelsbrunner, John Harer, Vijay Natarajan et al. · 2003 · 238 citations · Full text

, , +8

1–5 of 103

Authors

135

  1. VP
    Valerio Pascucci

    Lawrence Livermore National Laboratory, United States

    16 publications · 1.3K citations

    15

    h-index

  2. PB
    Peer‐Timo Bremer

    Lawrence Livermore National Laboratory, United States

    11 publications · 970 citations

    11

    h-index

  3. VN
    Vijay Natarajan

    Indian Institute of Science Bangalore, India

    11 publications · 892 citations

    11

    h-index

  4. AG
    Attila Gyulassy

    University of Utah, United States

    10 publications · 713 citations

    10

    h-index

  5. BH
    Bernd Hamann

    University of California, Davis, United States

    8 publications · 811 citations

    8

    h-index

1–5 of 135

Institutions

78

  1. Lawrence Livermore National Laboratory

    Livermore, United States

    13 h-index

    17 publications

    1.5K citations

  2. University of California, Davis

    Davis, United States

    10 h-index

    19 publications

    1.8K citations

  3. University of Utah

    Salt Lake City, United States

    8 h-index

    18 publications

    1.1K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    6 publications

    222 citations

  5. Duke University

    Durham, United States

    5 h-index

    10 publications

    1.6K citations

  6. Indian Institute of Science Bangalore

    Bengaluru, India

    5 h-index

    10 publications

    748 citations

  7. N. I. Lobachevsky State University of Nizhny Novgorod

    Nizhny Novgorod, Russia

    5 h-index

    6 publications

    146 citations

  8. University of California System

    Oakland, United States

    4 h-index

    4 publications

    394 citations

1–8 of 78

Venues

  1. IEEE Transactions on Visualization and Computer Graphics

    TVCG · 12 publications · 1.2K citations

    12

    h-index

  2. Topology

    5 publications · 582 citations

    5

    h-index

  3. 5

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 5 publications · 264 citations

    5

    h-index

  5. Journal of Differential Equations

    5 publications · 285 citations

    5

    h-index

1–5