Concepedia

Lyapunov Exponents

Lyapunov Exponents is a family of real-valued dynamical invariants of a smooth dynamical system that quantify the asymptotic exponential growth or decay rates of infinitesimal perturbations by measuring, along typical trajectories, the average logarithmic expansion factors of tangent vectors under the linearized flow or map.

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Synchronization in chaotic systems

Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations

, , +14

Determining Lyapunov exponents from a time series

Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text

, , +13

Measuring the strangeness of strange attractors

Peter Grassberger, Itamar Procaccia · Physica D Nonlinear Phenomena · 1983 · 5.6K citations

, , +12

Permutation Entropy: A Natural Complexity Measure for Time Series

Christoph Bandt, Bernd Pompe · Physical Review Letters · 2002 · 4.8K citations

, , +16

Introduction to Applied Nonlinear Dynamical Systems and Chaos

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

, , +11

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  1. GC
    Guanrong Chen

    City University of Hong Kong, Hong Kong SAR China

    42 publications · 3.9K citations

    32

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  2. AO
    Adel Ouannas

    Larbi Ben M'hidi University of Oum El Bouaghi, Algeria

    37 publications · 1.6K citations

    29

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  3. JC
    J. C. Sprott

    University of Wisconsin–Madison, United States

    32 publications · 4.1K citations

    27

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  4. EO
    Edward Ott

    University of Maryland, College Park, United States

    29 publications · 6.7K citations

    26

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  5. SJ
    Sajad Jafari

    Amirkabir University of Technology, Iran

    33 publications · 2.5K citations

    24

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  1. Centre National de la Recherche Scientifique

    Paris, France

    46 h-index

    197 publications

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  2. University of Maryland, College Park

    College Park, United States

    41 h-index

    170 publications

    27.1K citations

  3. City University of Hong Kong

    Hong Kong, Hong Kong

    34 h-index

    70 publications

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    Madison, United States

    31 h-index

    54 publications

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  5. Chinese Academy of Sciences

    Beijing, China

    30 h-index

    68 publications

    3.9K citations

  6. Lodz University of Technology

    Lodz, Poland

    27 h-index

    88 publications

    4.8K citations

  7. Amirkabir University of Technology

    Tehran, Iran

    26 h-index

    75 publications

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  8. Princeton University

    Princeton, United States

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    40 publications

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  1. Physical Review Letters

    PRL · 169 publications · 31.4K citations

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  2. Physica D Nonlinear Phenomena

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  4. Physics Letters A

    161 publications · 9.9K citations

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  5. Chaos Solitons & Fractals

    210 publications · 12.1K citations

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