Concepedia

Canard Phenomena

Canard Phenomena is a dynamical systems concept characterized by the presence of solutions that follow both attracting and repelling slow invariant manifolds in singularly perturbed systems, leading to anomalous amplitude and period scaling in limit cycle oscillations.

136

Publications

5.4K

Citations

199

Authors

126

Institutions

Publications per year

2017–2026

30

Variants

Canards

Parents

Publications

136

Relaxation Oscillation and Canard Explosion

Martin Krupa, Peter Szmolyan · Journal of Differential Equations · 2001 · 521 citations

, , +10

Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node

Martin Wechselberger · SIAM Journal on Applied Dynamical Systems · 2005 · 277 citations

, , +16

Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example

Martin Krupa, Nikola Popović, Nancy Kopell · SIAM Journal on Applied Dynamical Systems · 2008 · 182 citations · Full text

, , +16

Singular Hopf Bifurcation in Systems with Two Slow Variables

John Guckenheimer · SIAM Journal on Applied Dynamical Systems · 2008 · 150 citations

, , +15

Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster

Mathieu Desroches, Tasso J. Kaper, Martin Krupa · Chaos An Interdisciplinary Journal of Nonlinear Science · 2013 · 130 citations

, , +14

1–5 of 136

Authors

199

  1. MD
    Mathieu Desroches

    Centre Inria d'Université Côte d'Azur, France

    18 publications · 787 citations

    14

    h-index

  2. FD
    Freddy Dumortier

    Hasselt University, Belgium

    10 publications · 380 citations

    10

    h-index

  3. MK
    Martin Krupa

    TU Wien, Austria

    8 publications · 1K citations

    8

    h-index

  4. PD
    Peter De Maesschalck

    Hasselt University, Belgium

    8 publications · 231 citations

    8

    h-index

  5. MW
    Martin Wechselberger

    The University of Sydney, Australia

    7 publications · 549 citations

    7

    h-index

1–5 of 199

Institutions

126

  1. Hasselt University

    Hasselt, Belgium

    9 h-index

    15 publications

    479 citations

  2. Boston University

    Boston, United States

    8 h-index

    18 publications

    1.2K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    12 publications

    344 citations

  4. University of Bristol

    Bristol, United Kingdom

    8 h-index

    20 publications

    990 citations

  5. Universidad de Sevilla

    Seville, Spain

    6 h-index

    9 publications

    195 citations

  6. Samara National Research University

    Samara, Russia

    5 h-index

    8 publications

    252 citations

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

    Le Chesnay-Rocquencourt, France

    5 h-index

    9 publications

    527 citations

  8. City University of Hong Kong

    Hong Kong, Hong Kong

    5 h-index

    5 publications

    80 citations

1–8 of 126

Venues

  1. SIAM Journal on Applied Dynamical Systems

    SIADS · 16 publications · 1.2K citations

    14

    h-index

  2. 8

    h-index

  3. International Journal of Bifurcation and Chaos

    IJBC · 8 publications · 228 citations

    8

    h-index

  4. Nonlinear Dynamics

    7 publications · 187 citations

    7

    h-index

  5. Discrete and Continuous Dynamical Systems

    DCDS · 5 publications · 109 citations

    5

    h-index

1–5