Concepedia

Nonlinear Dynamical Systems

Nonlinear Dynamical Systems is a mathematical framework that models the time evolution of variables in a system where the governing equations are nonlinear, distinguishing it from linear dynamical systems by exhibiting complex behaviors such as chaos, bifurcations, and sensitivity to initial conditions.

5.9K

Publications

376.6K

Citations

11.2K

Authors

3K

Institutions

Publications per year

2017–2026

1.4K

Parents

Publications

5.9K

Identification and control of dynamical systems using neural networks

Kumpati S. Narendra, K. Parthasarathy · IEEE Transactions on Neural Networks · 1990 · 8K citations

, , +16

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

Steven H. Strogatz, Mark J. Friedman, A. John Mallinckrodt et al. · Computers in Physics · 1994 · 4.7K citations

, , +7

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

, , +8

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Steven L. Brunton, Joshua L. Proctor, J. Nathan Kutz · Proceedings of the National Academy of Sciences · 2016 · 4.5K citations · Full text

, , +17

Introduction to Applied Nonlinear Dynamical Systems and Chaos

Stephen Wiggins, D.S. Mazel · Computers in Physics · 1990 · 3.9K citations

, , +11

1–5 of 5.9K

Authors

11.2K

  1. GC
    Guanrong Chen

    City University of Hong Kong, Hong Kong SAR China

    37 publications · 3.4K citations

    25

    h-index

  2. WM
    Wassim M. Haddad

    Georgia Institute of Technology, United States

    44 publications · 2.1K citations

    24

    h-index

  3. YL
    Ying‐Cheng Lai

    Arizona State University, United States

    24 publications · 1.6K citations

    20

    h-index

  4. SL
    Steven L. Brunton

    University of Washington, United States

    22 publications · 7.6K citations

    19

    h-index

  5. JN
    J. Nathan Kutz

    University of Washington Applied Physics Laboratory, United States

    22 publications · 7.8K citations

    19

    h-index

1–5 of 11.2K

Institutions

3K

  1. University of California, Berkeley

    Berkeley, United States

    45 h-index

    169 publications

    20.2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    43 h-index

    279 publications

    19K citations

  3. Georgia Institute of Technology

    Atlanta, United States

    42 h-index

    168 publications

    16.1K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    36 h-index

    131 publications

    10.3K citations

  5. City University of Hong Kong

    Hong Kong, Hong Kong

    30 h-index

    75 publications

    6.4K citations

  6. University of Southern California

    Los Angeles, United States

    29 h-index

    93 publications

    12.7K citations

  7. Arizona State University

    Tempe, United States

    29 h-index

    119 publications

    7.5K citations

  8. University of California San Diego

    San Diego, United States

    29 h-index

    107 publications

    7.7K citations

1–8 of 3K

Venues

  1. IEEE Transactions on Automatic Control

    193 publications · 19.2K citations

    68

    h-index

  2. International Journal of Bifurcation and Chaos

    IJBC · 193 publications · 10.3K citations

    48

    h-index

  3. Physical Review Letters

    PRL · 64 publications · 7.5K citations

    43

    h-index

  4. 38

    h-index

  5. IEEE Transactions on Fuzzy Systems

    TFS · 51 publications · 6K citations

    36

    h-index

1–5