Concepedia

Nonlinear Oscillations

Nonlinear Oscillations is a dynamical phenomenon characterized by periodic or quasi-periodic motions in systems governed by nonlinear differential equations, wherein the restoring force or feedback mechanism deviates from linearity, leading to amplitude-dependent frequency, multistability, limit cycles, or chaotic behavior not exhibited in linear oscillatory systems.

3.6K

Publications

163.8K

Citations

5.9K

Authors

1.9K

Institutions

Publications per year

2017–2026

515

Variants

Nonlinear Oscillation

Parents

Publications

3.6K

Nonlinear Oscillations

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

, , +8

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.3K citations

, , +13

Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer, Philip Holmes, Marshall Slemrod · Journal of Applied Mechanics · 1984 · 1.3K citations · Full text

, , +14

Nonlinear Aspects of Competition Between Three Species

Robert M. May, Warren J. Leonard · SIAM Journal on Applied Mathematics · 1975 · 1.1K citations

, , +17

<i>Classical Dynamics of Particles and Systems</i>

Jerry B. Marion, J. Gillis · Physics Today · 1966 · 1.1K citations

, , +17

1–5 of 3.6K

Authors

5.9K

  1. JH
    Ji‐Huan He

    Soochow University, China

    26 publications · 3K citations

    23

    h-index

  2. RP
    Ravi P. Agarwal

    Florida Institute of Technology, United States

    33 publications · 1.5K citations

    23

    h-index

  3. SR
    Said R. Grace

    Cairo University, Egypt

    44 publications · 1.3K citations

    21

    h-index

  4. AC
    Albert C. J. Luo

    Southern Illinois University Edwardsville, United States

    25 publications · 866 citations

    17

    h-index

  5. TL
    Tongxing Li

    Shandong University, China

    25 publications · 1.1K citations

    17

    h-index

1–5 of 5.9K

Institutions

1.9K

  1. Centre National de la Recherche Scientifique

    Paris, France

    35 h-index

    178 publications

    8K citations

  2. University of California, Berkeley

    Berkeley, United States

    27 h-index

    74 publications

    7.2K citations

  3. Mansoura University

    Al Mansurah, Egypt

    22 h-index

    46 publications

    2K citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    20 h-index

    43 publications

    2.4K citations

  5. Princeton University

    Princeton, United States

    19 h-index

    29 publications

    3.7K citations

  6. Cairo University

    Giza, Egypt

    18 h-index

    29 publications

    1K citations

  7. Sapienza University of Rome

    Rome, Italy

    18 h-index

    38 publications

    1.4K citations

  8. Université de Yaoundé I

    Yaoundé, Cameroon

    18 h-index

    58 publications

    1.9K citations

1–8 of 1.9K

Venues

  1. Physical Review Letters

    PRL · 112 publications · 9.5K citations

    55

    h-index

  2. Journal of Sound and Vibration

    JSV · 109 publications · 5K citations

    39

    h-index

  3. Nonlinear Dynamics

    132 publications · 4.9K citations

    38

    h-index

  4. Journal of Fluid Mechanics

    52 publications · 4.7K citations

    36

    h-index

  5. Journal of Mathematical Analysis and Applications

    110 publications · 3.4K citations

    34

    h-index

1–5