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Topic · Statistical and Nonlinear Physics

stochastic dynamics and bifurcation

stochastic dynamics and bifurcation is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 23k 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 explores the phenomenon of stochastic resonance in nonlinear systems, focusing on the effects of noise on transport, neural excitability, and information processing. It covers topics such as Brownian motors, channel noise in neurons, synchronization transitions, and coherence resonance. The research delves into how noise can enhance detection of weak signals and improve biological information processing.

  • Stochastic Resonance
  • Brownian Motors
  • Neural Excitability
  • Noise-induced Dynamics
  • Synchronization Transitions
  • Channel Noise
  • Biological Information Processing
  • Spatiotemporal Order
  • Coherence Resonance
  • Ion Channel Noise
Research works
23k
fractional, since 1950
In the world top 10%
2.3k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+2%
the tick is no change
Largest producer
China
50% of the 10 largest, 2022-now
stochastic dynamics and bifurcation

Which countries lead stochastic dynamics and bifurcation research?

By volume, China and the United States publish the most (1.5k and 368 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.5k works
  2. 2 United States 368 works
  3. 3 India 252 works
  4. 4 Germany 163 works
  5. 5 Russia 151 works
  6. 6 France 142 works
  7. 7 Japan 130 works
  8. 8 Italy 105 works
  9. 9 United Kingdom 104 works
  10. 10 Spain 80 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: 50.3%United States: 12.2%India: 8.4%Germany: 5.4%6 others listed: 23.7%50%largest
China1,516 · 50.3%United States368 · 12.2%India252 · 8.4%Germany163 · 5.4%6 others listed712 · 23.7%

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

Which institutions lead stochastic dynamics and bifurcation research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most stochastic dynamics and bifurcation research, followed by Russian Academy of Sciences and Changzhou University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 61 works
  2. 2 Russian Academy of SciencesRussia 36 works
  3. 3 Changzhou UniversityChina 27 works
  4. 4 Jiangsu UniversityChina 26 works
  5. 5 Lanzhou University of TechnologyChina 26 works
  6. 6 Southeast UniversityChina 24 works
  7. 7 Northwestern Polytechnical UniversityChina 22 works
  8. 8 Harbin Institute of TechnologyChina 22 works
  9. 9 Chongqing University of Posts and TelecommunicationsChina 20 works
  10. 10 Central South UniversityChina 19 works

Who are the leading researchers in stochastic dynamics and bifurcation?

The most-cited researchers publishing on stochastic dynamics and bifurcation include Yoshua Bengio, Karl John Friston and Kenji Watanabe.

  1. 1 Yoshua Bengio Canada 476k citations
  2. 2 Karl John Friston United Kingdom 310k citations
  3. 3 Kenji Watanabe Japan 237k citations
  4. 4 Donald G. Truhlar United States 230k citations
  5. 5 Takashi Taniguchi Japan 227k citations
  6. 6 Kai You Wang China 224k citations
  7. 7 Albert-Ĺaszló Barabási United States 223k citations
  8. 8 Harry Eugene Stanley United States 198k citations
  9. 9 David Lee Kaplan United States 171k 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 stochastic dynamics and bifurcation?

The most cited paper in stochastic dynamics and bifurcation is "Collective dynamics of ‘small-world’ networks" (Duncan J. Watts, Steven H. Strogatz, 1998), with 43,707 citations. Next come "The random walk's guide to anomalous diffusion: a fractional dynamics approach" (9,129) and "Physiological time-series analysis using approximate entropy and sample entropy" (7,969).

Most cited papers
#PaperReleasedCitations
1 Collective dynamics of ‘small-world’ networks Duncan J. Watts, Steven H. Strogatz · Nature Jun 1998 43,707
2 The random walk's guide to anomalous diffusion: a fractional dynamics approach Ralf Metzler, J. Klafter · Physics Reports Dec 2000 9,129
3 Physiological time-series analysis using approximate entropy and sample entropy Joshua Richman, Joseph Randall Moorman · American Journal of Physiology-Heart and Circulatory Physiology Jun 2000 7,969
4 Novel Type of Phase Transition in a System of Self-Driven Particles Tamás Vicsek, András Czirók, Eshel Ben‐Jacob et al. · Physical Review Letters Open access 7 Aug 1995 7,543
5 Simple statistical gradient-following algorithms for connectionist reinforcement learning Ronald J. Williams · Machine Learning Open access May 1992 7,519
All 100 most cited papers, with filters and sorting

Where is stochastic dynamics and bifurcation research done?

The largest centres of stochastic dynamics and bifurcation research in 2022-now are Beijing (China), Nanjing (China), Xi'an (China) and Shanghai (China). Among places with at least 20 works in it, it is an unusually large share of all research in Changzhou and Xiangtan.

Largest cities, 2022-now

  1. 1 BeijingChina 119 works
  2. 2 NanjingChina 104 works
  3. 3 Xi'anChina 98 works
  4. 4 ShanghaiChina 67 works
  5. 5 LanzhouChina 67 works
  6. 6 WuhanChina 65 works
  7. 7 ParisFrance 59 works
  8. 8 ChongqingChina 55 works
  9. 9 ChangshaChina 55 works
  10. 10 HarbinChina 51 works

Where it is the local speciality

  1. ChangzhouCN · 29.0 works16×
  2. XiangtanCN · 23.4 works13×
← less than its size predicts1×more →

Location quotient: how much more of its research is in stochastic dynamics and bifurcation than the world average.

See stochastic dynamics and bifurcation on the map

Where is the best place to study stochastic dynamics and bifurcation?

Among universities, judged by research, Changzhou University, Lanzhou University of Technology and Central China Normal 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%60%mean 36.31%fractional works in this field (log) →share of work in the world top 10% →Changzhou UniversityLanzhou University o…Xiangtan UniversityCentral China Normal…
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 90.953.4%31.8×27 +17.9%
2Lanzhou University of TechnologyChina 85.250.8%24.1×26 +75.0%
3Central China Normal UniversityChina 71.939.7%22.8×19 +129.0%
4Xiangtan UniversityChina 65.239.9%22.2×18 +95.1%
5Central South UniversityChina 64.238.4%3.1×19 +39.8%
6Dalian Polytechnic UniversityChina 63.154.6%16.7×10 +112.4%
7Southeast UniversityChina 58.815.8%5.0×24 -5.3%
8East China Jiaotong UniversityChina 57.537.8%26.1×11 +407.6%
9Chongqing University of Posts and TelecommunicationsChina 56.628.8%21.0×20 -2.7%
10Jiangsu UniversityChina 54.13.9%9.9×26 +57.5%

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 stochastic dynamics and bifurcation, country by country

Is stochastic dynamics and bifurcation research growing?

Output in 2022-2025 was 2% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are stochastic dynamics and bifurcation.

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 stochastic dynamics and bifurcation as a percentage of every work published that year, 0.013% in 2024.

still counting0.020%0.040%stochastic dynamics and bifurcation0.015% in 202519801990200020102020

Fractional works of stochastic dynamics and bifurcation 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%stochastic dynamics and bifurcation10.2% 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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