Nonlinear Dynamics and Pattern Formation
Nonlinear Dynamics and Pattern Formation is a research topic within Computer Networks and Communications. Science Explorer counts 50k research works in it since 1950. 20.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores the dynamics of synchronization in complex networks, focusing on phenomena such as chimera states, reaction-diffusion models, coupled oscillators, and pattern formation. The Kuramoto model and phase oscillators are central to understanding the behavior of synchronization in these systems.
- Synchronization
- Chimera States
- Reaction-Diffusion Model
- Coupled Oscillators
- Pattern Formation
- Network Dynamics
- Kuramoto Model
- Phase Oscillators
- Complex Networks
- Nonlinear Dynamics
- Research works
- 50k fractional, since 1950
- In the world top 10%
- 10k per year above
- Top-10% rate
- 20.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- 0% the tick is no change
Which countries lead Nonlinear Dynamics and Pattern Formation research?
By volume, China and the United States publish the most (1.8k and 512 works in 2022–2025).
By volume, 2022–2025
- 1 China 1.8k works
- 2 United States 512 works
- 3 India 403 works
- 4 Russia 352 works
- 5 Germany 222 works
- 6 Japan 220 works
- 7 France 198 works
- 8 United Kingdom 166 works
- 9 Italy 138 works
- 10 Spain 114 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 Nonlinear Dynamics and Pattern Formation research?
By volume in 2022–2025, Harbin Institute of Technology publishes the most Nonlinear Dynamics and Pattern Formation research, followed by Yaroslavl State University and Southeast University.
By volume, 2022–2025
- 1 Harbin Institute of Technology China 42 works
- 2 Yaroslavl State University Russia 35 works
- 3 Southeast University China 33 works
- 4 Centre National de la Recherche Scientifique France 32 works
- 5 Jiangsu University China 30 works
- 6 Northeastern University China 24 works
- 7 The University of Tokyo Japan 21 works
- 8 Saratov State University Russia 20 works
- 9 Indian Institute of Technology Madras India 19 works
- 10 Huazhong University of Science and Technology China 19 works
Who are the leading researchers in Nonlinear Dynamics and Pattern Formation?
The most-cited researchers publishing on Nonlinear Dynamics and Pattern Formation include H. Eugene Stanley, Guanrong Chen and Peng Shi.
- 1 H. Eugene Stanley 5.5k citations
- 2 Guanrong Chen 5.4k citations
- 3 Peng Shi 5k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Nonlinear Dynamics and Pattern Formation research done?
The largest centres of Nonlinear Dynamics and Pattern Formation research in 2022–2025 are Beijing (China), Nanjing (China), Shanghai (China) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Yaroslavl and Saratov.
Largest cities, 2022–2025
Where it is the local speciality
- YaroslavlRU · 35.0 works43×
- SaratovRU · 22.8 works18×
Location quotient: how much more of its research is in Nonlinear Dynamics and Pattern Formation than the world average.
Where is the best place to study Nonlinear Dynamics and Pattern Formation?
Among universities, judged by research, Indian Statistical Institute, Central China Normal University and Université de Dschang 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 | Indian Statistical Institute India | 77.3 | 71.4% | 26.0× | 12 | +609.6% |
| 2 | Central China Normal University China | 65.4 | 64.2% | 11.6× | 16 | +6.1% |
| 3 | Université de Dschang Cameroon | 54.7 | 12.6% | 23.8× | 13 | +287.4% |
| 4 | Shandong Normal University China | 53.7 | 39.3% | 8.1× | 11 | +163.7% |
| 5 | Amirkabir University of Technology Iran | 52.6 | 29.2% | 8.4× | 11 | +162.8% |
| 6 | N. I. Lobachevsky State University of Nizhny Novgorod Russia | 52.5 | 11.1% | 21.0× | 15 | +248.5% |
| 7 | Huaqiao University China | 51.9 | 23.0% | 15.9× | 16 | +78.9% |
| 8 | Yaroslavl State University Russia | 51.3 | 1.0% | 114.6× | 34 | +87.1% |
| 9 | Qufu Normal University China | 50.8 | 29.4% | 9.2× | 9 | +187.5% |
| 10 | Xinjiang University China | 49.0 | 32.9% | 8.2× | 19 | +20.8% |
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 Nonlinear Dynamics and Pattern Formation research growing?
Output in 2018–2022 was 0% lower than in 2013–2017, peaking in 2013. The fastest-growing topics are Nonlinear Dynamics and Pattern Formation.
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.