Concepedia

Rotation Numbers

Rotation Number is a real-valued invariant in the theory of iterated maps on the circle that characterizes the asymptotic average rate of rotation of orbits under a continuous orientation-preserving map, modulo integer equivalence.

283

Publications

10.1K

Citations

398

Authors

236

Institutions

Publications per year

2017–2026

25

Variants

Rotation Number

Parents

Publications

283

The rotation number for almost periodic potentials

Randal Johnson, J. Moser · Communications in Mathematical Physics · 1983 · 393 citations · Full text

, , +8

The rotation number for almost periodic potentials

Randal Johnson, J. Moser · Communications in Mathematical Physics · 1982 · 373 citations

, , +8

Chaotic behavior in piecewise continuous difference equations

James P. Keener · Transactions of the American Mathematical Society · 1980 · 190 citations

, , +17

Roll-cell instabilities in rotating laminar and trubulent channel flows

Dietrich K. Lezius, James P. Johnston · Journal of Fluid Mechanics · 1976 · 184 citations

, , +16

Orbits in Highly Perturbed Dynamical Systems. 111. Nonperiodic Orbits

G. Contopoulos · The Astronomical Journal · 1971 · 145 citations

, , +16

1–5 of 283

Authors

398

  1. JH
    Je-Chin Han

    Texas A&M University, United States

    11 publications · 376 citations

    11

    h-index

  2. SW
    Shyy Woei Chang

    National Kaohsiung Marine University, Taiwan

    6 publications · 197 citations

    6

    h-index

  3. RJ
    Russell Johnson

    University of Southern California, United States

    6 publications · 245 citations

    6

    h-index

  4. HD
    Hongwu Deng

    Beihang University, China

    4 publications · 189 citations

    5

    h-index

  5. TL
    Tong‐Miin Liou

    National Tsing Hua University, Taiwan

    5 publications · 183 citations

    5

    h-index

1–5 of 398

Institutions

236

  1. Texas A&M University

    College Station, United States

    14 h-index

    43 publications

    1.5K citations

  2. Universidade de São Paulo

    São Paulo, Brazil

    8 h-index

    12 publications

    443 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    11 publications

    213 citations

  4. Louisiana State University

    Baton Rouge, United States

    7 h-index

    20 publications

    510 citations

  5. University of Warwick

    Coventry, United Kingdom

    7 h-index

    8 publications

    401 citations

  6. Beihang University

    Beijing, China

    7 h-index

    20 publications

    910 citations

  7. University of Michigan

    Ann Arbor, United States

    6 h-index

    6 publications

    188 citations

  8. University of Toronto

    Toronto, Canada

    6 h-index

    6 publications

    195 citations

1–8 of 236

Venues

  1. Ergodic Theory and Dynamical Systems

    28 publications · 908 citations

    17

    h-index

  2. Nonlinearity

    24 publications · 742 citations

    15

    h-index

  3. Journal of Turbomachinery

    11 publications · 448 citations

    11

    h-index

  4. 8

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 8 publications · 341 citations

    8

    h-index

1–5