Concepedia

Nonhyperbolic Fixed Points

Nonhyperbolic Fixed Points is a type of fixed point in dynamical systems theory where at least one eigenvalue of the Jacobian matrix evaluated at the fixed point has a magnitude equal to one, distinguishing it from hyperbolic fixed points in which all eigenvalues have magnitudes not equal to one.

26

Publications

1.5K

Citations

55

Authors

38

Institutions

Publications per year

2017–2026

5

Parents

Publications

26

Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions

Peter Szmolyan · SIAM Journal on Mathematical Analysis · 2001 · 576 citations

, , +14

Distinguished trajectories in time dependent vector fields

J. A. Jiménez Madrid, Ana M. Mancho · Chaos An Interdisciplinary Journal of Nonlinear Science · 2009 · 180 citations · Full text

, , +17

Singular hyperbolic systems

C. A. Morales, Maria José Pacífico, Enrique Pujals · Proceedings of the American Mathematical Society · 1999 · 119 citations · Full text

, , +13

Convergence of solutions in a nonhyperbolic case

Candace M. Kent · Nonlinear Analysis · 2001 · 59 citations

, , +10

Stability Loss Delay and Smoothness of the Return Map in Slow-Fast Systems

Cheng Wang, Xiang Zhang · SIAM Journal on Applied Dynamical Systems · 2018 · 54 citations

, , +16

1–5 of 26

Authors

55

  1. RL
    Ricardo L. Viana

    Universidade Federal do Paraná, Brazil

    1 publications · 13 citations

    2

    h-index

  2. JD
    José D. Szezech

    Universidade Estadual de Ponta Grossa, Brazil

    1 publications · 13 citations

    2

    h-index

  3. MR
    M. R. S. Kulenović

    University of Rhode Island, United States

    2 publications · 52 citations

    2

    h-index

  4. RZ
    Ruiye Zhang

    University of South Africa, South Africa

    1 publications · 47 citations

    1

    h-index

  5. HH
    Hossein Hassanpoor

    University of Zanjan, Iran

    1 publications · 11 citations

    1

    h-index

1–5 of 55

Institutions

38

  1. University of Rhode Island

    Kingston, United States

    3 h-index

    4 publications

    144 citations

  2. Universidade Estadual de Ponta Grossa

    Ponta Grossa, Brazil

    2 h-index

    1 publications

    13 citations

  3. Universidade Federal do Paraná

    Curitiba, Brazil

    2 h-index

    5 publications

    65 citations

  4. Universidade de São Paulo

    São Paulo, Brazil

    2 h-index

    1 publications

    13 citations

  5. University of Maryland, College Park

    College Park, United States

    1 h-index

    2 publications

    98 citations

  6. Northwestern University

    Evanston, United States

    1 h-index

    2 publications

    36 citations

  7. Institute for Information Transmission Problems

    Moscow, Russia

    1 h-index

    1 publications

    18 citations

  8. Institut National des Sciences Appliquées de Toulouse

    Toulouse, France

    1 h-index

    1 publications

    21 citations

1–8 of 38

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 3 publications · 80 citations

    3

    h-index

  2. Discrete Dynamics in Nature and Society

    2 publications · 47 citations

    2

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 2 publications · 168 citations

    2

    h-index

  4. Complexity

    2 publications · 58 citations

    2

    h-index

  5. Physical Review E

    PRE · 1 publications · 13 citations

    2

    h-index

1–5