Concepedia

Stern-brocot Tree

The Stern-Brocot Tree is a binary tree structure in number theory, where each node corresponds to a unique positive rational number, distinguished by its recursive generation through mediants of neighboring fractions, thereby enumerating all positive rationals in reduced form exactly once.

17

Publications

558

Citations

33

Authors

26

Institutions

Publications per year

2017–2026

2

Parents

Publications

17

Stern–Brocot trees in cascades of mixed-mode oscillations and canards in the extended Bonhoeffer–van der Pol and the FitzHugh–Nagumo models of excitable systems

Joana G. Freire, Jason A. C. Gallas · Physics Letters A · 2011 · 100 citations

, , +16

Stern–Brocot trees in the periodicity of mixed-mode oscillations

Joana G. Freire, Jason A. C. Gallas · Physical Chemistry Chemical Physics · 2011 · 91 citations

, , +13

A fast algorithm for the two dimensional HJB equation of stochastic control

J. Frédéric Bonnans, Élisabeth Ottenwaelter · ESAIM Mathematical Modelling and Numerical Analysis · 2004 · 61 citations · Full text

, , +12

Monotone and consistent discretization of the Monge-Ampère operator

Jean‐David Benamou, Francis Collino, Jean‐Marie Mirebeau · Mathematics of Computation · 2016 · 47 citations · Full text

, , +13

Stern-Brocot trees in spiking and bursting of sigmoidal maps

Joana G. Freire, Thorsten Pöschel, Jason A. C. Gallas · Europhysics Letters (EPL) · 2012 · 30 citations

, , +15

1–5 of 17

Authors

33

  1. BB
    Bruce Bates

    University of Wollongong, Australia

    3 publications · 59 citations

    3

    h-index

  2. JG
    Joana G. Freire

    University of Lisbon, Portugal

    3 publications · 221 citations

    3

    h-index

  3. JA
    Jason A. C. Gallas

    Universidade Federal do Rio Grande do Sul, Brazil

    3 publications · 221 citations

    3

    h-index

  4. MW
    M. W. Bunder

    University of Wollongong, Australia

    3 publications · 59 citations

    3

    h-index

  5. KT
    Keith Tognetti

    University of Wollongong, Australia

    3 publications · 59 citations

    3

    h-index

1–5 of 33

Institutions

26

  1. Universidade Federal da Paraíba

    João Pessoa, Brazil

    3 h-index

    5 publications

    281 citations

  2. Universidade Federal do Rio Grande do Sul

    Porto Alegre, Brazil

    2 h-index

    4 publications

    382 citations

  3. University of Lisbon

    Lisbon, Portugal

    2 h-index

    4 publications

    382 citations

  4. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    2 h-index

    4 publications

    216 citations

  5. University of Wollongong

    Wollongong, Australia

    2 h-index

    6 publications

    147 citations

  6. Zhengzhou University

    Zhengzhou, China

    1 h-index

    2 publications

    34 citations

  7. University of Belgrade

    Belgrade, Serbia

    1 h-index

    1 publications

    26 citations

  8. RWTH Aachen University

    Aachen, Germany

    1 h-index

    1 publications

    26 citations

1–8 of 26

Venues

  1. Mathematics of Computation

    MCOM · 2 publications · 60 citations

    2

    h-index

  2. European Journal of Combinatorics

    2 publications · 49 citations

    2

    h-index

  3. Glasgow Mathematical Journal

    1 publications · 16 citations

    1

    h-index

  4. Europhysics Letters (EPL)

    1 publications · 30 citations

    1

    h-index

  5. 1

    h-index

1–5