Most cited papers in Chaos control and synchronization
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).
Showing 50 of 97 papers. Every paper with more than 981 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 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 | Jul 1985 | 9,535 |
| 4 | Approximate entropy as a measure of system complexity. Steven M. Pincus · Proceedings of the National Academy of Sciences | 15 Mar 1991 | 5,855 |
| 5 | Measuring the strangeness of strange attractors Peter Grassberger, Itamar Procaccia · Physica D Nonlinear Phenomena | Oct 1983 | 5,689 |
| 6 | Controlling chaos Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters | 12 Mar 1990 | 5,418 |
| 7 | Ergodic theory of chaos and strange attractors Jean‐Pierre Eckmann, David Pierre Ruelle · Reviews of Modern Physics | Jul 1985 | 4,989 |
| 8 | Permutation Entropy: A Natural Complexity Measure for Time Series Christoph Bandt, Bernd Pompe · Physical Review Letters | 11 Apr 2002 | 4,937 |
| 9 | Characterization of Strange Attractors Peter Grassberger, Itamar Procaccia · Physical Review Letters | 31 Jan 1983 | 4,888 |
| 10 | Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering Steven H. Strogatz, Mark Jay Friedman, A. John Mallinckrodt et al. · Computers in Physics | Sep 1994 | 4,749 |
| 11 | Independent coordinates for strange attractors from mutual information Andrew M. Fraser, Harry L. Swinney · Physical Review A | Feb 1986 | 4,637 |
| 12 | Oscillation and Chaos in Physiological Control Systems Michael C. Mackey, Leon Glass · Science | 15 Jul 1977 | 4,159 |
| 13 | An equation for continuous chaos Otto E. Rössler · Physics Letters A | Jul 1976 | 4,050 |
| 14 | Geometry from a Time Series Norman H. Packard, James P. Crutchfield, J. Doyne Farmer et al. · Physical Review Letters | Sep 1980 | 3,917 |
| 15 | Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series Chung‐Kang Peng, Shlomo Havlin, Harry Eugene Stanley et al. · Chaos An Interdisciplinary Journal of Nonlinear Science | Mar 1995 | 3,915 |
| 16 | Recurrence plots for the analysis of complex systems Norbert Marwan, Maria Carmen Romano, Marko Thiel et al. · Physics Reports | 2007 | 3,887 |
| 17 | Introduction to Applied Nonlinear Dynamical Systems and Chaos Stephen Wiggins, David S. Mazel · Computers in Physics | Sep 1990 | 3,844 |
| 18 | Testing for nonlinearity in time series: the method of surrogate data James P. Theiler, Stephen Eubank, André Longtin et al. · Physica D Nonlinear Phenomena | Sep 1992 | 3,820 |
| 19 | 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 |
| 20 | Multifractal detrended fluctuation analysis of nonstationary time series Jan W. Kantelhardt, Stephan A. Zschiegner, Eva Koscielny–Bunde et al. · Physica A Statistical Mechanics and its Applications | Dec 2002 | 3,694 |
| 21 | 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 |
| 22 | Continuous control of chaos by self-controlling feedback Kęstutis Pyragas · Physics Letters A | Nov 1992 | 3,347 |
| 23 | Recurrence Plots of Dynamical Systems Jean‐Pierre Eckmann, Sylvie Oliffson Kamphorst, David Pierre Ruelle · Europhysics Letters (EPL) | Nov 1987 | 3,326 |
| 24 | Fractal measures and their singularities: The characterization of strange sets Thomas C. Halsey, Mogens H. Jensen, Leo P. Kadanoff et al. · Physical Review A | Feb 1986 | 3,310 |
| 25 | Multiscale Entropy Analysis of Complex Physiologic Time Series Madalena D. Costa, Ary L. Goldberger, Chung‐Kang Peng · Physical Review Letters | 19 Jul 2002 | 3,245 |
| 26 | Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers Igor Podlubný · IEEE Transactions on Automatic Control | 1999 | 3,112 |
| 27 | YET ANOTHER CHAOTIC ATTRACTOR Guanrong Chen, Tetsushi Ueta · International Journal of Bifurcation and Chaos | Jul 1999 | 2,832 |
| 28 | The synchronization of chaotic systems Stefano Boccaletti, Jürgen Kurths, Grigory V. Osipov et al. · Physics Reports | Aug 2002 | 2,782 |
| 29 | 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 |
| 30 | Phase Synchronization of Chaotic Oscillators Michael G. Rosenblum, ARKADY S. PIKOVSKY, Jürgen Kurths · Physical Review Letters | 11 Mar 1996 | 2,761 |
| 31 | Master Stability Functions for Synchronized Coupled Systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters | 9 Mar 1998 | 2,661 |
| 32 | Approach to an irregular time series on the basis of the fractal theory Tomoyuki Higuchi · Physica D Nonlinear Phenomena | Jun 1988 | 2,195 |
| 33 | State-Space and Multivariable Theory H.H. Rosenbrock, Alistair G. J. MacFarlane · IEEE Transactions on Systems Man and Cybernetics | Apr 1972 | 2,179 |
| 34 | SOME BASIC CRYPTOGRAPHIC REQUIREMENTS FOR CHAOS-BASED CRYPTOSYSTEMS Gonzalo Álvarez, Shujun Li · International Journal of Bifurcation and Chaos | Aug 2006 | 2,114 |
| 35 | Embedology TIMOTHY D. SAUER, James A. Yorke, Martin Casdagli · Journal of Statistical Physics | Nov 1991 | 2,046 |
| 36 | Intermittent transition to turbulence in dissipative dynamical systems Yves Pomeau, Paul Manneville · Communications in Mathematical Physics | Jun 1980 | 2,037 |
| 37 | Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica | Mar 1980 | 1,973 |
| 38 | Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series George Sugihara, Robert Mccredie May · Nature | Apr 1990 | 1,973 |
| 39 | Chaos in Dynamical Systems Daniel I. Zwillinger · Elsevier eBooks | 1992 | 1,964 |
| 40 | Predicting chaotic time series J. Doyne Farmer, John J. Sidorowich · Physical Review Letters | 24 Aug 1987 | 1,953 |
| 41 | Symmetric Ciphers Based on Two-Dimensional Chaotic Maps Jiří Fridrich · International Journal of Bifurcation and Chaos | Jun 1998 | 1,918 |
| 42 | A NEW CHAOTIC ATTRACTOR COINED Jinhu Lü, Guanrong Chen · International Journal of Bifurcation and Chaos | Mar 2002 | 1,866 |
| 43 | 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 |
| 44 | The infinite number of generalized dimensions of fractals and strange attractors H. G. E. Hentschel, Itamar Procaccia · Physica D Nonlinear Phenomena | Sep 1983 | 1,814 |
| 45 | 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 |
| 46 | Scaling behaviour in the dynamics of an economic index Rosario N. Mantegna, Harry Eugene Stanley · Nature | Jul 1995 | 1,782 |
| 47 | Circuit implementation of synchronized chaos with applications to communications Kevin M. Cuomo, Alan V. Oppenheim · Physical Review Letters | 5 Jul 1993 | 1,735 |
| 48 | Practical method for determining the minimum embedding dimension of a scalar time series Liangyue Cao · Physica D Nonlinear Phenomena | Dec 1997 | 1,710 |
| 49 | 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 |
| 50 | Mittag–Leffler stability of fractional order nonlinear dynamic systems Yan Li, YangQuan Chen, Igor Podlubný · Automatica | 14 May 2009 | 1,634 |
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.