Concepedia

Cantor Dynamics

Cantor Dynamics is a topological dynamical system characterized by a homeomorphism acting on the Cantor set, distinguished by its zero-dimensional, compact, perfect, and totally disconnected phase space that serves as a fundamental setting for studying symbolic and minimal dynamics.

114

Publications

4.7K

Citations

190

Authors

129

Institutions

Publications per year

2017–2026

10

Parents

Publications

114

Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic lattices

Godfrey Gumbs, Mazhar Ali · Physical Review Letters · 1988 · 244 citations

, , +14

Recycling of strange sets: II. Applications

Roberto Artuso, Erik Aurell, Predrag Cvitanović · Nonlinearity · 1990 · 236 citations

, , +9

Slow decay of temporal correlations in quantum systems with Cantor spectra

Roland Ketzmerick, G. Petschel, T. Geisel · Physical Review Letters · 1992 · 211 citations

, , +15

Cantor spectrum for an almost periodic Schrödinger equation and a dynamical map

Mahito Kohmoto, Y. Oono · Physics Letters A · 1984 · 210 citations

, , +16

Sensitive dependence on parameters in nonlinear dynamics

J. Doyne Farmer · Physical Review Letters · 1985 · 131 citations

, , +14

1–5 of 114

Authors

190

  1. RL
    Robert L. Devaney

    Boston University, United States

    4 publications · 176 citations

    4

    h-index

  2. AM
    Alejandro Maass

    University of Chile, Chile

    4 publications · 156 citations

    4

    h-index

  3. FD
    Fabien Durand

    Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, France

    3 publications · 92 citations

    3

    h-index

  4. DD
    David Damanik

    California Institute of Technology, United States

    3 publications · 48 citations

    3

    h-index

  5. ΜE
    Μ.S. El Naschie

    Alexandria University, Egypt

    3 publications · 90 citations

    3

    h-index

1–5 of 190

Institutions

129

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    8 publications

    228 citations

  2. University of Chile

    Santiago, Chile

    4 h-index

    5 publications

    201 citations

  3. Norwegian University of Science and Technology

    Trondheim, Norway

    3 h-index

    3 publications

    108 citations

  4. Cornell University

    Ithaca, United States

    3 h-index

    4 publications

    85 citations

  5. University of Ottawa

    Ottawa, Canada

    3 h-index

    3 publications

    108 citations

  6. Boston University

    Boston, United States

    3 h-index

    4 publications

    255 citations

  7. Laboratoire Amiénois de Mathématique Fondamentale et Appliquée

    Amiens, France

    3 h-index

    3 publications

    92 citations

  8. Rice University

    Houston, United States

    3 h-index

    3 publications

    92 citations

1–8 of 129

Venues

  1. Ergodic Theory and Dynamical Systems

    12 publications · 524 citations

    11

    h-index

  2. Physical Review Letters

    PRL · 9 publications · 1.2K citations

    9

    h-index

  3. Journal of the London Mathematical Society

    6 publications · 181 citations

    6

    h-index

  4. Chaos Solitons & Fractals

    3 publications · 83 citations

    3

    h-index

  5. Topology and its Applications

    3 publications · 77 citations

    3

    h-index

1–5