Most cited papers in stochastic dynamics and bifurcation
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).
Showing 50 of 100 papers. Every paper with more than 972 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 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 | 7 Aug 1995 | 7,543 |
| 5 | Simple statistical gradient-following algorithms for connectionist reinforcement learning Ronald J. Williams · Machine Learning | May 1992 | 7,519 |
| 6 | Neurons with graded response have collective computational properties like those of two-state neurons. J. J. Hopfield · Proceedings of the National Academy of Sciences | May 1984 | 6,989 |
| 7 | A general method for numerically simulating the stochastic time evolution of coupled chemical reactions Daniel T. Gillespie · Journal of Computational Physics | Dec 1976 | 6,326 |
| 8 | Reaction-rate theory: fifty years after Kramers Peter Hänggi, Peter Talkner, Michal Borkovec · Reviews of Modern Physics | Apr 1990 | 6,214 |
| 9 | Stochastic resonance L. Gammaitoni, Peter Hänggi, Peter Jung et al. · Reviews of Modern Physics | 1998 | 5,398 |
| 10 | Simple model of spiking neurons Eugene M. Izhikevich · IEEE Transactions on Neural Networks | Nov 2003 | 4,948 |
| 11 | Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons Hugh R. Wilson, Jack D. Cowan · Biophysical Journal | 1972 | 3,813 |
| 12 | The mechanism of stochastic resonance Roberto Benzi, Alfonso Sutera, Angelo Vulpiani · Journal of Physics A Mathematical and General | Nov 1981 | 3,654 |
| 13 | The Kuramoto model: A simple paradigm for synchronization phenomena Juan A. Acebrón, L. L. Bonilla, C. J. Pérez Vicente et al. · Reviews of Modern Physics | 7 Apr 2005 | 3,603 |
| 14 | Thermal Fluctuations of a Single-Domain Particle William Fuller Brown · Physical Review | Jun 1963 | 3,351 |
| 15 | Irreversibility and Generalized Noise Herbert B. Callen, Theodore A. Welton · Physical Review | Jul 1951 | 3,070 |
| 16 | Noise in the nervous system A. Aldo Faisal, Luc P. J. Selen, Daniel M. Wolpert · Nature reviews. Neuroscience | 5 Mar 2008 | 3,023 |
| 17 | Statistical Mechanics of Dissipative Particle Dynamics Pep Español, Patrick B. Warren · Europhysics Letters (EPL) | May 1995 | 2,859 |
| 18 | The synchronization of chaotic systems Stefano Boccaletti, Jürgen Kurths, Grigory V. Osipov et al. · Physics Reports | Aug 2002 | 2,782 |
| 19 | Phase Synchronization of Chaotic Oscillators Michael G. Rosenblum, ARKADY S. PIKOVSKY, Jürgen Kurths · Physical Review Letters | 11 Mar 1996 | 2,761 |
| 20 | Master Stability Functions for Synchronized Coupled Systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters | 9 Mar 1998 | 2,661 |
| 21 | Brownian motors: noisy transport far from equilibrium Peter Reimann · Physics Reports | Apr 2002 | 2,621 |
| 22 | Which Model to Use for Cortical Spiking Neurons? Eugene M. Izhikevich · IEEE Transactions on Neural Networks | Sep 2004 | 2,613 |
| 23 | Ionic Channels of Excitable Membranes Richard Darwin Keynes · Trends in Neurosciences | 1985 | 2,602 |
| 24 | Neuronal Avalanches in Neocortical Circuits John M. Beggs, Dietmar Plenz · Journal of Neuroscience | 3 Dec 2003 | 2,434 |
| 25 | The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics Ralf Metzler, J. Klafter · Journal of Physics A Mathematical and General | 21 Jul 2004 | 2,390 |
| 26 | Biological rhythms and the behavior of populations of coupled oscillators Arthur T. Winfree · Journal of Theoretical Biology | Jul 1967 | 2,060 |
| 27 | NEURAL EXCITABILITY, SPIKING AND BURSTING Eugene M. Izhikevich · International Journal of Bifurcation and Chaos | Jun 2000 | 2,057 |
| 28 | Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation Crispin W. Gardiner, Matthew J. Collett · Physical Review A | Jun 1985 | 2,049 |
| 29 | Chaos in Neuronal Networks with Balanced Excitatory and Inhibitory Activity Carl van Vreeswijk, Haim Sompolinsky · Science | 6 Dec 1996 | 1,999 |
| 30 | A model of neuronal bursting using three coupled first order differential equations J. L. Hindmarsh, R. M. Rose · Proceedings of the Royal Society B Biological Sciences | 22 Mar 1984 | 1,973 |
| 31 | Modeling molecular motors Frank Jülicher, Armand Ajdari, Jacques Prost · Reviews of Modern Physics | Oct 1997 | 1,900 |
| 32 | Weak pairwise correlations imply strongly correlated network states in a neural population Elad Schneidman, Michael J. Berry, Ronen Segev et al. · Nature | Apr 2006 | 1,884 |
| 33 | Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids Melville S. Green · The Journal of Chemical Physics | Mar 1954 | 1,851 |
| 34 | Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking Ralf Metzler, Jae‐Hyung Jeon, Andrey G. Cherstvy et al. · Physical Chemistry Chemical Physics | 2014 | 1,842 |
| 35 | Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs Kurt A. Wiesenfeld, Frank Moss · Nature | 1995 | 1,836 |
| 36 | Fluctuations and Irreversible Processes Lars Onsager, Stefan Machlup · Physical Review | 15 Sep 1953 | 1,811 |
| 37 | Coherence Resonance in a Noise-Driven Excitable System ARKADY S. PIKOVSKY, Jürgen Kurths · Physical Review Letters | 3 Feb 1997 | 1,740 |
| 38 | Circuit implementation of synchronized chaos with applications to communications Kevin M. Cuomo, Alan V. Oppenheim · Physical Review Letters | 5 Jul 1993 | 1,735 |
| 39 | Chaos-based communications at high bit rates using commercial fibre-optic links Apostolos Argyris, Dimitris Syvridis, Laurent Larger et al. · Nature | Nov 2005 | 1,661 |
| 40 | Chaos, fractional kinetics, and anomalous transport G. M. Zaslavsky · Physics Reports | Dec 2002 | 1,640 |
| 41 | Self-entrainment of a population of coupled non-linear oscillators Yoshiki Kuramoto · Lecture notes in physics | 29 Oct 2005 | 1,636 |
| 42 | Artificial Brownian motors: Controlling transport on the nanoscale Peter Hänggi, Fabio Marchesoni · Reviews of Modern Physics | 30 Mar 2009 | 1,591 |
| 43 | Theory of stochastic resonance Bruce McNamara, Kurt A. Wiesenfeld · Physical Review A | May 1989 | 1,567 |
| 44 | The surface statistics of a granular aggregate Samuel Frederick Edwards, D. R. Wilkinson · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 May 1982 | 1,543 |
| 45 | Surrogate time series Thomas Schreiber, Andreas Schmitz · Physica D Nonlinear Phenomena | Aug 2000 | 1,528 |
| 46 | A Leap-frog Algorithm for Stochastic Dynamics Wilfred F. van Gunsteren, H. J. C. Berendsen · Molecular Simulation | Mar 1988 | 1,510 |
| 47 | Effects of noise in excitable systems Benjamin Lindner · Physics Reports | 30 Jan 2004 | 1,506 |
| 48 | Fokker-Planck Equation Hannes Risken · Springer series in synergetics | 1996 | 1,496 |
| 49 | A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction. C H Luo, Yoram Rudy · Circulation Research | Jun 1991 | 1,481 |
| 50 | Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance John K. Douglass, Lon A. Wilkens, Eleni Pantazelou et al. · Nature | Sep 1993 | 1,454 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.