Mathematical Dynamics and Fractals
Mathematical Dynamics and Fractals is a research topic within Mathematical Physics. Science Explorer counts 31k research works in it since 1950. 14.5% of them reached the world's top 10% most cited for their field and year.
This cluster of papers covers a wide range of topics in dynamical systems and chaos theory, including chaos implications, ergodic theory, fractals, Lyapunov exponents, Markov chains, topological entropy, invariant measures, Teichmüller curves, and Hausdorff dimension.
- Chaos
- Dynamical Systems
- Fractals
- Ergodic Theory
- Lyapunov Exponents
- Markov Chains
- Topological Entropy
- Invariant Measures
- Teichmüller Curves
- Hausdorff Dimension
- Research works
- 31k fractional, since 1950
- In the world top 10%
- 4.5k per year above
- Top-10% rate
- 14.5% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -2% the tick is no change
Which countries lead Mathematical Dynamics and Fractals research?
By volume, China and the United States publish the most (649 and 581 works in 2022–2025).
By volume, 2022–2025
- 1 China 649 works
- 2 United States 581 works
- 3 France 303 works
- 4 Russia 240 works
- 5 India 204 works
- 6 United Kingdom 159 works
- 7 Japan 133 works
- 8 Brazil 131 works
- 9 Germany 124 works
- 10 Italy 94 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Mathematical Dynamics and Fractals research?
By volume in 2022–2025, National Research University Higher School of Economics publishes the most Mathematical Dynamics and Fractals research, followed by Centre National de la Recherche Scientifique and Lomonosov Moscow State University.
By volume, 2022–2025
- 1 National Research University Higher School of Economics Russia 55 works
- 2 Centre National de la Recherche Scientifique France 47 works
- 3 Lomonosov Moscow State University Russia 30 works
- 4 Chongqing University China 19 works
- 5 South China University of Technology China 19 works
- 6 University of Warwick United Kingdom 19 works
- 7 Nanjing University of Science and Technology China 18 works
- 8 University of Monastir Tunisia 17 works
- 9 University of Chicago United States 16 works
- 10 University of Science and Technology of China China 15 works
Who are the leading researchers in Mathematical Dynamics and Fractals?
The most-cited researchers publishing on Mathematical Dynamics and Fractals include H. Eugene Stanley, Guanrong Chen and Benoît B. Mandelbrot.
- 1 H. Eugene Stanley 5.5k citations
- 2 Guanrong Chen 5.4k citations
- 3 Benoît B. Mandelbrot 4.2k citations
- 4 Steven J. Miller 3.8k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Mathematical Dynamics and Fractals research done?
The largest centres of Mathematical Dynamics and Fractals research in 2022–2025 are Moscow (Russia), Paris (France), Beijing (China) and Nanjing (China).
Where is the best place to study Mathematical Dynamics and Fractals?
Among universities, judged by research, University of Monastir, National Research University Higher School of Economics and Northwest University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | University of Monastir Tunisia | 78.3 | 55.3% | 30.5× | 17 | +82.4% |
| 2 | National Research University Higher School of Economics Russia | 64.7 | 4.9% | 36.5× | 55 | +302.0% |
| 3 | Northwest University China | 61.3 | 52.2% | 9.1× | 9 | +63.0% |
| 4 | Université Paris-Saclay France | 58.1 | 6.9% | 10.8× | 15 | +294.0% |
| 5 | Lomonosov Moscow State University Russia | 56.9 | 12.5% | 9.5× | 30 | +54.1% |
| 6 | Nanjing University of Science and Technology China | 52.9 | 33.6% | 5.8× | 18 | +158.9% |
| 7 | University of St Andrews United Kingdom | 50.0 | 23.5% | 13.6× | 11 | +17.9% |
| 8 | University of Warwick United Kingdom | 48.3 | 10.7% | 11.5× | 19 | -5.6% |
| 9 | Sorbonne Université France | 47.6 | 16.4% | 8.4× | 15 | +16.0% |
| 10 | University of Maryland, College Park United States | 42.2 | 20.5% | 7.5× | 15 | +10.0% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Mathematical Dynamics and Fractals research growing?
Output in 2018–2022 was 2% lower than in 2013–2017, peaking in 2023. The fastest-growing topics are Mathematical Dynamics and Fractals.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.