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Topic · Statistical and Nonlinear Physics

Quantum chaos and dynamical systems

Quantum chaos and dynamical systems is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 47k research works in it since 1950. 17.3% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the characterization and properties of chaotic quantum dynamics, including the study of Lagrangian coherent structures, semiclassical theory, level fluctuation laws, decoherence rates, and quantum resonances. It covers a wide range of topics from quantum chaos to dynamical systems and Hamiltonian dynamics.

  • Quantum Chaos
  • Lagrangian Coherent Structures
  • Semiclassical Theory
  • Level Fluctuation Laws
  • Decoherence Rate
  • Dynamical Systems
  • Wave Packet Revivals
  • Hamiltonian Dynamics
  • Random Matrices
  • Quantum Resonances
Research works
47k
fractional, since 1950
In the world top 10%
8.2k
per year above
Top-10% rate
17.3%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-2%
the tick is no change

Which countries lead Quantum chaos and dynamical systems research?

By volume, China and the United States publish the most (1k and 570 works in 2022–2025).

By volume, 2022–2025

  1. 1 China 1k works
  2. 2 United States 570 works
  3. 3 Russia 367 works
  4. 4 France 242 works
  5. 5 India 226 works
  6. 6 Germany 205 works
  7. 7 Italy 180 works
  8. 8 Brazil 176 works
  9. 9 Japan 158 works
  10. 10 United Kingdom 154 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.

China: 31.1%United States: 17.2%Russia: 11.1%France: 7.3%6 others listed: 33.2%31%largest
China1,029 · 31.1%United States570 · 17.2%Russia367 · 11.1%France242 · 7.3%6 others listed1,100 · 33.2%

Shares of the rows listed above, not of the whole node.

Which institutions lead Quantum chaos and dynamical systems research?

By volume in 2022–2025, Lomonosov Moscow State University publishes the most Quantum chaos and dynamical systems research, followed by Centre National de la Recherche Scientifique and National Research University Higher School of Economics.

By volume, 2022–2025

  1. 1 Lomonosov Moscow State UniversityRussia 44 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 40 works
  3. 3 National Research University Higher School of EconomicsRussia 32 works
  4. 4 Sun Yat-sen UniversityChina 24 works
  5. 5 Russian Academy of SciencesRussia 21 works
  6. 6 Universidade Estadual Paulista (Unesp)Brazil 21 works
  7. 7 Kyoto UniversityJapan 20 works
  8. 8 Shanghai Jiao Tong UniversityChina 18 works
  9. 9 Universitat Autònoma de BarcelonaSpain 17 works
  10. 10 Universidade de São PauloBrazil 17 works

Where is Quantum chaos and dynamical systems research done?

The largest centres of Quantum chaos and dynamical systems research in 2022–2025 are Moscow (Russia), Beijing (China), Paris (France) and Nanjing (China).

Largest cities, 2022–2025

  1. 1 Moscow Russia 204 works
  2. 2 Beijing China 169 works
  3. 3 Paris France 99 works
  4. 4 Nanjing China 78 works
  5. 5 Shanghai China 67 works
  6. 6 Guangzhou China 57 works
  7. 7 Tokyo Japan 47 works
  8. 8 Mexico City Mexico 42 works
  9. 9 São Paulo Brazil 42 works
  10. 10 Madrid Spain 37 works
See Quantum chaos and dynamical systems on the map

Where is the best place to study Quantum chaos and dynamical systems?

Among universities, judged by research, Zhejiang Normal University, Lomonosov Moscow State University and National Research University Higher School of Economics 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.

0%20%40%mean 19.65%fractional works in this node (log) →share in the world top 10% →Zhejiang Normal University: 14, 32.5%Lomonosov Moscow State University: 44, 3.0%National Research University Higher School of Economics: 32, 5.1%Technion – Israel Institute of Technology: 13, 26.3%Beijing Institute of Technology: 14, 36.9%Indian Institute of Technology Bombay: 9, 27.6%Princeton University: 12, 29.2%Northeast Normal University: 12, 8.7%Universitat Autònoma de Barcelona: 17, 15.8%Moscow Institute of Physics and Technology: 8, 11.4%Zhejiang Normal Univ…Technion – Israel In…National Research Un…Lomonosov Moscow Sta…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Zhejiang Normal UniversityChina 59.332.5%10.3×14 -56.6%
2 Lomonosov Moscow State UniversityRussia 55.63.0%10.9×44 +65.7%
3 National Research University Higher School of EconomicsRussia 55.25.1%16.9×32 +121.9%
4 Technion – Israel Institute of TechnologyIsrael 52.526.3%8.4×13 -5.7%
5 Beijing Institute of TechnologyChina 50.636.9%2.5×14 +88.7%
6 Indian Institute of Technology BombayIndia 48.327.6%4.4×9 +187.3%
7 Princeton UniversityUnited States 47.929.2%6.2×12 -10.5%
8 Northeast Normal UniversityChina 47.08.7%11.4×12 +140.7%
9 Universitat Autònoma de BarcelonaSpain 46.715.8%8.6×17 -15.6%
10 Moscow Institute of Physics and TechnologyRussia 42.911.4%13.3×8 +90.5%

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 Quantum chaos and dynamical systems research growing?

Output in 2018–2022 was 2% lower than in 2013–2017, peaking in 2025.

19801990200020102020
grewheldshrank

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.