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Topic · Statistical and Nonlinear Physics

Chaos control and synchronization

Chaos control and synchronization is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 27k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on chaos synchronization and control in complex systems, exploring topics such as nonlinear dynamics, time series analysis, recurrence plots, and the synchronization of chaotic systems. It covers applications in various fields such as communication, finance, and engineering.

  • Chaos
  • Synchronization
  • Complex Systems
  • Nonlinear Dynamics
  • Time Series Analysis
  • Control
  • Recurrence Plots
  • Attractors
  • Fractional Order Systems
  • Adaptive Synchronization
Research works
27k
fractional, since 1950
In the world top 10%
2.7k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
-1%
the tick is no change
Largest producer
China
56% of the 10 largest, 2022-now
Chaos control and synchronization

Which countries lead Chaos control and synchronization research?

By volume, China and India publish the most (1.6k and 345 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.6k works
  2. 2 India 345 works
  3. 3 United States 224 works
  4. 4 Russia 134 works
  5. 5 Japan 100 works
  6. 6 Brazil 97 works
  7. 7 France 95 works
  8. 8 Mexico 92 works
  9. 9 Türkiye 91 works
  10. 10 Iran 82 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: 56.4%India: 11.9%United States: 7.8%Russia: 4.6%6 others listed: 19.3%56%largest
China1,632 · 56.4%India345 · 11.9%United States224 · 7.8%Russia134 · 4.6%6 others listed557 · 19.3%

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

Which institutions lead Chaos control and synchronization research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Chaos control and synchronization research, followed by Russian Academy of Sciences and Heilongjiang University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 39 works
  2. 2 Russian Academy of SciencesRussia 33 works
  3. 3 Heilongjiang UniversityChina 29 works
  4. 4 Northwest Normal UniversityChina 28 works
  5. 5 Central South UniversityChina 26 works
  6. 6 Northeastern UniversityChina 23 works
  7. 7 Harbin Institute of TechnologyChina 22 works
  8. 8 Nanjing University of Information Science and TechnologyChina 19 works
  9. 9 Guangdong University of TechnologyChina 18 works
  10. 10 Nanjing University of Aeronautics and AstronauticsChina 17 works

Who are the leading researchers in Chaos control and synchronization?

The most-cited researchers publishing on Chaos control and synchronization include Zhong Lin Wang, Harry Eugene Stanley and David Lee Kaplan.

  1. 1 Zhong Lin Wang United States 491k citations
  2. 2 Harry Eugene Stanley United States 198k citations
  3. 3 David Lee Kaplan United States 171k citations
  4. 4 H. Vincent Poor United States 165k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Chaos control and synchronization?

The most cited paper in Chaos control and synchronization is "Synchronization in chaotic systems" (Louis M. Pecora, Thomas L. Carroll, 1990), with 10,638 citations. Next come "Possible generalization of Boltzmann-Gibbs statistics" (9,702) and "Determining Lyapunov exponents from a time series" (9,535).

Most cited papers
#PaperReleasedCitations
1 Synchronization in chaotic systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters 19 Feb 1990 10,638
2 Possible generalization of Boltzmann-Gibbs statistics Constantino Tsallis · Journal of Statistical Physics Jul 1988 9,702
3 Determining Lyapunov exponents from a time series Alan Wolf, Jack B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena Open access Jul 1985 9,535
4 Approximate entropy as a measure of system complexity. Steven M. Pincus · Proceedings of the National Academy of Sciences Open access 15 Mar 1991 5,855
5 Measuring the strangeness of strange attractors Peter Grassberger, Itamar Procaccia · Physica D Nonlinear Phenomena Oct 1983 5,689
All 97 most cited papers, with filters and sorting

Where is Chaos control and synchronization research done?

The largest centres of Chaos control and synchronization research in 2022-now are Beijing (China), Nanjing (China), Xi'an (China) and Harbin (China).

Largest cities, 2022-now

  1. 1 BeijingChina 130 works
  2. 2 NanjingChina 108 works
  3. 3 Xi'anChina 88 works
  4. 4 HarbinChina 75 works
  5. 5 ChangshaChina 70 works
  6. 6 GuangzhouChina 63 works
  7. 7 JinanChina 62 works
  8. 8 ShanghaiChina 60 works
  9. 9 ChongqingChina 59 works
  10. 10 WuhanChina 59 works
See Chaos control and synchronization on the map

Where is the best place to study Chaos control and synchronization?

Among universities, judged by research, Changzhou University, Northwest Normal University and East China Jiaotong 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.

0%20%40%mean 25.37%fractional works in this field (log) →share of work in the world top 10% →Changzhou UniversityEast China Jiaotong …Northwest Normal Uni…Heilongjiang Univers…
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1Changzhou UniversityChina 69.944.3%12.9×12 +39.3%
2Northwest Normal UniversityChina 68.122.5%33.0×28 +2511.1%
3East China Jiaotong UniversityChina 66.841.4%27.2×13 +181.9%
4Heilongjiang UniversityChina 65.218.7%48.3×29 +103.7%
5Central South UniversityChina 64.925.1%3.8×26 +13.5%
6Nanjing University of Information Science and TechnologyChina 60.117.2%13.6×20 +73.4%
7Xi'an University of TechnologyChina 52.529.1%11.5×13 +44.8%
8Larbi Ben M'hidi University of Oum El BouaghiAlgeria 51.927.7%72.7×9 +34.8%
9Harbin Institute of TechnologyChina 50.218.2%3.8×22 -0.5%
10Guangdong University of TechnologyChina 50.19.5%9.1×18 +97.3%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Chaos control and synchronization, country by country

Is Chaos control and synchronization research growing?

Output in 2022-2025 was 1% lower than in 2018-2021, peaking in 2025.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Chaos control and synchronization as a percentage of every work published that year, 0.015% in 2024.

still counting0.020%0.040%0.060%Chaos control and synchronization0.017% in 202519801990200020102020

Fractional works of Chaos control and synchronization over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Chaos control and synchronization9.9% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

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.

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