Concepedia

Dynamical Systems Modeling

Dynamical Systems Modeling is a mathematical framework within biomedical signal modeling that characterizes the time evolution of physiological processes by representing them as systems of differential or difference equations governed by state variables and their rates of change.

1.8K

Publications

105.4K

Citations

4.4K

Authors

1.5K

Institutions

Publications per year

2017–2026

451

Parents

Publications

1.8K

Recurrence Plots of Dynamical Systems

Jean‐Pierre Eckmann, Sylvie Oliffson Kamphorst, David Ruelle · Europhysics Letters (EPL) · 1987 · 3.3K citations

, , +13

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

Peter Benner, Serkan Gugercin, Karen Willcox · SIAM Review · 2015 · 1.8K citations

, , +13

Mathematical Analysis of HIV-1 Dynamics in Vivo

Alan S. Perelson, Patrick W. Nelson · SIAM Review · 1999 · 1.6K citations

, , +17

Dynamical assessment of physiological systems and states using recurrence plot strategies

C. L. Webber, Joseph P. Zbilut · Journal of Applied Physiology · 1994 · 1.4K citations

, , +14

Deep learning for universal linear embeddings of nonlinear dynamics

Bethany Lusch, J. Nathan Kutz, Steven L. Brunton · Nature Communications · 2018 · 1.4K citations · Full text

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1–5 of 1.8K

Authors

4.4K

  1. AC
    Albert C. J. Luo

    Southern Illinois University Edwardsville, United States

    18 publications · 437 citations

    14

    h-index

  2. JD
    Jinqiao Duan

    Illinois Institute of Technology, United States

    9 publications · 254 citations

    9

    h-index

  3. AS
    Aneta Stefanovska

    Lancaster University, United Kingdom

    9 publications · 904 citations

    9

    h-index

  4. EO
    Eberhard O. Voit

    Georgia Institute of Technology, United States

    8 publications · 270 citations

    8

    h-index

  5. ED
    Eduardo D. Sontag

    Rutgers, The State University of New Jersey, United States

    8 publications · 992 citations

    8

    h-index

1–5 of 4.4K

Institutions

1.5K

  1. University of California, Berkeley

    Berkeley, United States

    26 h-index

    63 publications

    4.1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    21 h-index

    87 publications

    4.9K citations

  3. University of Southern California

    Los Angeles, United States

    19 h-index

    41 publications

    2.5K citations

  4. Arizona State University

    Tempe, United States

    17 h-index

    36 publications

    2.2K citations

  5. Georgia Institute of Technology

    Atlanta, United States

    17 h-index

    39 publications

    1.5K citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    16 h-index

    32 publications

    1.7K citations

  7. University of Michigan

    Ann Arbor, United States

    16 h-index

    51 publications

    2.8K citations

  8. McGill University

    Montreal, Canada

    16 h-index

    36 publications

    2.6K citations

1–8 of 1.5K

Venues

  1. IEEE Transactions on Automatic Control

    36 publications · 4.1K citations

    25

    h-index

  2. 24

    h-index

  3. arXiv (Cornell University)

    Repository · 39 publications · 1.3K citations

    20

    h-index

  4. Physical Review E

    PRE · 25 publications · 1.2K citations

    19

    h-index

  5. International Journal of Bifurcation and Chaos

    IJBC · 30 publications · 874 citations

    17

    h-index

1–5