Concepedia

Critical Point Classification

Critical Point Classification is a systematic framework within dynamical systems analysis that categorizes critical points in a phase plane according to their local topological behavior, stability properties, and eigenstructure of the associated Jacobian matrix.

55

Publications

2.8K

Citations

114

Authors

72

Institutions

Publications per year

2017–2026

6

Parents

Publications

55

CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

Vladimir I. Arnold · Russian Mathematical Surveys · 1975 · 311 citations

, , +16

A robust algorithm to locate automatically all types of critical points in the charge density and its Laplacian

Paul L. A. Popelier · Chemical Physics Letters · 1994 · 193 citations

, , +12

CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPS<i>B<sub>k</sub></i>,<i>C<sub>k</sub></i>, AND<i>F</i><sub>4</sub>AND SINGULARITIES OF EVOLUTES

Vladimir I. Arnold · Russian Mathematical Surveys · 1978 · 162 citations

, , +15

A tool for visualizing the topology of three-dimensional vector fields

Al Globus, Creon Levit, T. A. Lasinski · 2002 · 159 citations

, , +14

Limit-Cycles and Rotated Vector Fields

G. F. D. Duff · Annals of Mathematics · 1953 · 154 citations

, , +11

1–5 of 55

Authors

114

  1. VI
    Vladimir I. Arnold

    Steklov Mathematical Institute, Russia

    6 publications · 782 citations

    6

    h-index

  2. AH
    Alex Hankey

    Swami Vivekananda Yoga Anusandhana Samsthana, India

    2 publications · 92 citations

    2

    h-index

  3. HE
    H. Eugene Stanley

    Boston University, United States

    2 publications · 92 citations

    2

    h-index

  4. HH
    H. Hassanabadi

    University of Shahrood, Iran

    1 publications · 50 citations

    2

    h-index

  5. MZ
    Mengyao Zhang

    Guizhou University, China

    1 publications · 50 citations

    2

    h-index

1–5 of 114

Institutions

72

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    10 publications

    554 citations

  2. Pennsylvania State University

    State College, United States

    2 h-index

    2 publications

    113 citations

  3. Alverno College

    Milwaukee, United States

    2 h-index

    2 publications

    46 citations

  4. University of Hradec Králové

    Hradec Králové, Czechia

    2 h-index

    1 publications

    50 citations

  5. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    2 publications

    207 citations

  6. Guizhou University

    Guiyang, China

    2 h-index

    3 publications

    150 citations

  7. Zunyi Normal College

    Zunyi, China

    2 h-index

    1 publications

    50 citations

  8. University of California, Santa Barbara

    Santa Barbara, United States

    2 h-index

    3 publications

    165 citations

1–8 of 72

Venues

  1. Russian Mathematical Surveys

    3 publications · 611 citations

    3

    h-index

  2. Fundamenta Mathematicae

    3 publications · 84 citations

    3

    h-index

  3. Functional Analysis and Its Applications

    3 publications · 72 citations

    3

    h-index

  4. Physical review. B, Solid state

    2 publications · 178 citations

    2

    h-index

  5. IEEE Transactions on Visualization and Computer Graphics

    TVCG · 2 publications · 86 citations

    2

    h-index

1–5