Most cited papers in Nonlinear Dynamics and Pattern Formation
What are the most cited papers in Nonlinear Dynamics and Pattern Formation?
The most cited paper in Nonlinear Dynamics and Pattern Formation is "Collective dynamics of ‘small-world’ networks" (Duncan J. Watts, Steven H. Strogatz, 1998), with 43,707 citations. Next come "Complex networks: Structure and dynamics" (11,156) and "Synchronization in chaotic systems" (10,638).
Showing 50 of 99 papers. Every paper with more than 1,209 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Collective dynamics of ‘small-world’ networks Duncan J. Watts, Steven H. Strogatz · Nature | Jun 1998 | 43,707 |
| 2 | Complex networks: Structure and dynamics Stefano Boccaletti, Vito Latora, Yamir Moreno et al. · Physics Reports | 11 Jan 2006 | 11,156 |
| 3 | Synchronization in chaotic systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters | 19 Feb 1990 | 10,638 |
| 4 | Determining Lyapunov exponents from a time series Alan Wolf, Jack B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena | Jul 1985 | 9,535 |
| 5 | Exploring complex networks Steven H. Strogatz · Nature | Mar 2001 | 8,412 |
| 6 | Pattern formation outside of equilibrium M. C. Cross, Pierre C. Hohenberg · Reviews of Modern Physics | Jul 1993 | 7,918 |
| 7 | 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 |
| 8 | Simple mathematical models with very complicated dynamics Robert Mccredie May · Nature | 10 Jun 1976 | 7,029 |
| 9 | Consensus seeking in multiagent systems under dynamically changing interaction topologies Wei Ren, Randal W. Beard · IEEE Transactions on Automatic Control | May 2005 | 6,633 |
| 10 | Turbulence and the dynamics of coherent structures. I. Coherent structures Lawrence Sirovich · Quarterly of Applied Mathematics | Oct 1987 | 6,236 |
| 11 | Controlling chaos Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters | 12 Mar 1990 | 5,418 |
| 12 | Stochastic resonance L. Gammaitoni, Peter Hänggi, Peter Jung et al. · Reviews of Modern Physics | 1998 | 5,398 |
| 13 | On the self-similar nature of Ethernet traffic (extended version) Will E. Leland, Murad S. Taqqu, Walter Willinger et al. · IEEE/ACM Transactions on Networking | 1994 | 5,273 |
| 14 | Independent coordinates for strange attractors from mutual information Andrew M. Fraser, Harry L. Swinney · Physical Review A | Feb 1986 | 4,637 |
| 15 | Oscillation and Chaos in Physiological Control Systems Michael C. Mackey, Leon Glass · Science | 15 Jul 1977 | 4,159 |
| 16 | Mean shift, mode seeking, and clustering Yizong Cheng · IEEE Transactions on Pattern Analysis and Machine Intelligence | 1995 | 3,912 |
| 17 | Recurrence plots for the analysis of complex systems Norbert Marwan, Maria Carmen Romano, Marko Thiel et al. · Physics Reports | 2007 | 3,887 |
| 18 | Determining embedding dimension for phase-space reconstruction using a geometrical construction Matthew B. Kennel, Reggie Brown, Henry D. I. Abarbanel · Physical Review A | Mar 1992 | 3,818 |
| 19 | Excitatory and Inhibitory Interactions in Localized Populations of Model Neurons Hugh R. Wilson, Jack D. Cowan · Biophysical Journal | 1972 | 3,813 |
| 20 | Synchronization in complex networks Àlex Arenas, Albert Dı́az-Guilera, Jürgen Kurths et al. · Physics Reports | 25 Sep 2008 | 3,725 |
| 21 | The mechanism of stochastic resonance Roberto Benzi, Alfonso Sutera, Angelo Vulpiani · Journal of Physics A Mathematical and General | Nov 1981 | 3,654 |
| 22 | Quantitative universality for a class of nonlinear transformations Mitchell J. Feigenbaum · Journal of Statistical Physics | Jul 1978 | 3,615 |
| 23 | 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 |
| 24 | A practical method for calculating largest Lyapunov exponents from small data sets Michael T. Rosenstein, James J. Collins, Carlo J. De Luca · Physica D Nonlinear Phenomena | May 1993 | 3,525 |
| 25 | Continuous control of chaos by self-controlling feedback Kęstutis Pyragas · Physics Letters A | Nov 1992 | 3,347 |
| 26 | Recurrence Plots of Dynamical Systems Jean‐Pierre Eckmann, Sylvie Oliffson Kamphorst, David Pierre Ruelle · Europhysics Letters (EPL) | Nov 1987 | 3,326 |
| 27 | From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Steven H. Strogatz · Physica D Nonlinear Phenomena | Sep 2000 | 3,128 |
| 28 | Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: Dependence on recording region and brain state Ralph G. Andrzejak, Klaus Lehnertz, Florian Mormann et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | 20 Nov 2001 | 3,043 |
| 29 | A two-dimensional mapping with a strange attractor M. Hénon · Communications in Mathematical Physics | Feb 1976 | 3,002 |
| 30 | The synchronization of chaotic systems Stefano Boccaletti, Jürgen Kurths, Grigory V. Osipov et al. · Physics Reports | Aug 2002 | 2,782 |
| 31 | Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws O. Bohigas, M.J. Giannoni, C. Schmit · Physical Review Letters | 2 Jan 1984 | 2,781 |
| 32 | Phase Synchronization of Chaotic Oscillators Michael G. Rosenblum, ARKADY S. PIKOVSKY, Jürgen Kurths · Physical Review Letters | 11 Mar 1996 | 2,761 |
| 33 | Master Stability Functions for Synchronized Coupled Systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters | 9 Mar 1998 | 2,661 |
| 34 | Physics of liquid crystals Michael J. Stephen, Joseph P. Straley · Reviews of Modern Physics | Oct 1974 | 2,627 |
| 35 | Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint Zhongkui Li, Zhisheng Duan, Guanrong Chen et al. · IEEE Transactions on Circuits and Systems I Regular Papers | 2 Jun 2009 | 2,418 |
| 36 | Cellular neural networks: applications Leon Ong Chua, Liu Yang · IEEE Transactions on Circuits and Systems | Oct 1988 | 2,391 |
| 37 | Extracting qualitative dynamics from experimental data D.S. Broomhead, Gregory P. King · Physica D Nonlinear Phenomena | Jun 1986 | 2,312 |
| 38 | Dynamics of pattern formation in lateral-inhibition type neural fields Шун-ичи Амари · Biological Cybernetics | 1977 | 2,130 |
| 39 | Spontaneous skyrmion ground states in magnetic metals U. Rößler, A. N. Bogdanov, C. Pfleiderer · Nature | Aug 2006 | 2,125 |
| 40 | Bifurcation from simple eigenvalues Michael G. Crandall, Paul H. Rabinowitz · Journal of Functional Analysis | Oct 1971 | 2,092 |
| 41 | Biological rhythms and the behavior of populations of coupled oscillators Arthur T. Winfree · Journal of Theoretical Biology | Jul 1967 | 2,060 |
| 42 | NEURAL EXCITABILITY, SPIKING AND BURSTING Eugene M. Izhikevich · International Journal of Bifurcation and Chaos | Jun 2000 | 2,057 |
| 43 | Embedology TIMOTHY D. SAUER, James A. Yorke, Martin Casdagli · Journal of Statistical Physics | Nov 1991 | 2,046 |
| 44 | Intermittent transition to turbulence in dissipative dynamical systems Yves Pomeau, Paul Manneville · Communications in Mathematical Physics | Jun 1980 | 2,037 |
| 45 | 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 |
| 46 | Chaos in Dynamical Systems Daniel I. Zwillinger · Elsevier eBooks | 1992 | 1,964 |
| 47 | The world of the complex Ginzburg-Landau equation Igor S. Aranson, Lorenz Kramer · Reviews of Modern Physics | 4 Feb 2002 | 1,960 |
| 48 | Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System А. Н. Заикин, A.M. Zhabotinsky · Nature | Feb 1970 | 1,920 |
| 49 | The analysis of observed chaotic data in physical systems Henry D. I. Abarbanel, Reggie Brown, John J. Sidorowich et al. · Reviews of Modern Physics | Oct 1993 | 1,865 |
| 50 | Generalized synchronization of chaos in directionally coupled chaotic systems Nikolai F. Rulkov, Mikhail M. Sushchik, Lev S. Tsimring et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Feb 1995 | 1,810 |
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.