Most cited papers in Quantum chaos and dynamical systems
What are the most cited papers in Quantum chaos and dynamical systems?
The most cited paper in Quantum chaos and dynamical systems is "Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes" (Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen, 1977), with 21,804 citations. Next come "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations" (14,114) and "Synchronization in chaotic systems" (10,638).
Showing 50 of 100 papers. Every paper with more than 1,120 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen · Journal of Computational Physics | Mar 1977 | 21,804 |
| 2 | Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics | Nov 1988 | 14,114 |
| 3 | Synchronization in chaotic systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters | 19 Feb 1990 | 10,638 |
| 4 | Quantal phase factors accompanying adiabatic changes Michael Berry · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 Mar 1984 | 9,285 |
| 5 | Double-slit photoelectron interference in strong-field ionization of the neon dimer Maksim Kunitski, Nicolas Eicke, Pia Huber et al. · Nature Communications | 27 Dec 2018 | 8,258 |
| 6 | Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Carl M. Bender, Stefan Boettcher · Physical Review Letters | 15 Jun 1998 | 6,760 |
| 7 | Controlling chaos Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters | 12 Mar 1990 | 5,418 |
| 8 | Ergodic theory of chaos and strange attractors Jean‐Pierre Eckmann, David Pierre Ruelle · Reviews of Modern Physics | Jul 1985 | 4,989 |
| 9 | Minimax Methods in Critical Point Theory with Applications to Differential Equations Paul H. Rabinowitz · Regional conference series in mathematics | Jul 1986 | 4,190 |
| 10 | Completely positive dynamical semigroups of N -level systems Vittorio Gorini, Andrzej Kossakowski, E. C. G. Sudarshan · Journal of Mathematical Physics | May 1976 | 4,075 |
| 11 | Geometry from a Time Series Norman H. Packard, James P. Crutchfield, J. Doyne Farmer et al. · Physical Review Letters | Sep 1980 | 3,917 |
| 12 | Observation of parity–time symmetry in optics Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy et al. · Nature Physics | 24 Jan 2010 | 3,653 |
| 13 | Quantitative universality for a class of nonlinear transformations Mitchell J. Feigenbaum · Journal of Statistical Physics | Jul 1978 | 3,615 |
| 14 | Solution of the Schrödinger equation by a spectral method Michael D. Feit, J. A. Fleck, A. Steiger · Journal of Computational Physics | Sep 1982 | 3,380 |
| 15 | Continuous control of chaos by self-controlling feedback Kęstutis Pyragas · Physics Letters A | Nov 1992 | 3,347 |
| 16 | Recurrence Plots of Dynamical Systems Jean‐Pierre Eckmann, Sylvie Oliffson Kamphorst, David Pierre Ruelle · Europhysics Letters (EPL) | Nov 1987 | 3,326 |
| 17 | Chaos and quantum thermalization Mark Srednicki · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Aug 1994 | 3,285 |
| 18 | Dissipative dynamical systems part I: General theory Jan C. Willems · Archive for Rational Mechanics and Analysis | 1972 | 3,262 |
| 19 | A two-dimensional mapping with a strange attractor M. Hénon · Communications in Mathematical Physics | Feb 1976 | 3,002 |
| 20 | YET ANOTHER CHAOTIC ATTRACTOR Guanrong Chen, Tetsushi Ueta · International Journal of Bifurcation and Chaos | Jul 1999 | 2,832 |
| 21 | Supersymmetry and quantum mechanics Fred Cooper, Avinash Khare, U. Sukhatme · Physics Reports | 1995 | 2,783 |
| 22 | 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 |
| 23 | Observation of P T -Symmetry Breaking in Complex Optical Potentials A. R. Guo, Gregory J. Salamo, D. Duchesne et al. · Physical Review Letters | 27 Aug 2009 | 2,778 |
| 24 | A multicenter numerical integration scheme for polyatomic molecules Axel D. Becke · The Journal of Chemical Physics | 15 Feb 1988 | 2,775 |
| 25 | Geometric singular perturbation theory for ordinary differential equations Neil Fenichel · Journal of Differential Equations | 1979 | 2,431 |
| 26 | From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov et al. · Advances In Physics | 3 May 2016 | 2,413 |
| 27 | An Introduction to Chaotic Dynamical Systems Robert L. Devaney, Jean‐Pierre Eckmann · Physics Today | Jul 1987 | 2,385 |
| 28 | Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture Kenneth G. Wilson · Physical review. B, Solid state | Nov 1971 | 2,338 |
| 29 | Edge States and Topological Invariants of Non-Hermitian Systems Shunyu Yao, Zhong Wang · Physical Review Letters | 21 Aug 2018 | 2,311 |
| 30 | Random-matrix theories in quantum physics: common concepts Thomas Guhr, Axel Müller–Groeling, Hans A. Weidenmüller · Physics Reports | Jun 1998 | 2,252 |
| 31 | Random-matrix physics: spectrum and strength fluctuations Thomas A. Brody, Jorge Flores, J.B. French et al. · Reviews of Modern Physics | Jul 1981 | 2,161 |
| 32 | The multi-configurational time-dependent Hartree approach Hans‐Dieter Meyer, Uwe Manthe, L. S. Cederbaum · Chemical Physics Letters | 1990 | 2,035 |
| 33 | 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 |
| 34 | Decoherence-Free Subspaces for Quantum Computation Daniel A. Lidar, Isaac L. Chuang, K. Birgitta Whaley · Physical Review Letters | 21 Sep 1998 | 1,906 |
| 35 | Complex Extension of Quantum Mechanics Carl M. Bender, Dorje C. Brody, Hugh F Jones · Physical Review Letters | 16 Dec 2002 | 1,878 |
| 36 | Stirring by chaotic advection Hassan Aref · Journal of Fluid Mechanics | Jun 1984 | 1,868 |
| 37 | Dynamics of solitons in nearly integrable systems Yuri S. Kivshar, Boris A. Malomed · Reviews of Modern Physics | Oct 1989 | 1,867 |
| 38 | A NEW CHAOTIC ATTRACTOR COINED Jinhu Lü, Guanrong Chen · International Journal of Bifurcation and Chaos | Mar 2002 | 1,866 |
| 39 | An Exact Quantum Theory of the Time-Dependent Harmonic Oscillator and of a Charged Particle in a Time-Dependent Electromagnetic Field Harry R. Lewis, W. B. Riesenfeld · Journal of Mathematical Physics | Aug 1969 | 1,830 |
| 40 | Explicit reversible integrators for extended systems dynamics Glenn J. Martyna, Mark E. Tuckerman, Douglas J. Tobias et al. · Molecular Physics | 10 Apr 1996 | 1,823 |
| 41 | Anderson localization of a non-interacting Bose–Einstein condensate G. Roati, Chiara D’Errico, L. Fallani et al. · Nature | Jun 2008 | 1,815 |
| 42 | 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 |
| 43 | Critical exponents from field theory J. C. Le Guillou, Jean Zinn‐Justin · Physical review. B, Condensed matter | May 1980 | 1,806 |
| 44 | Non-Hermitian physics Yuto Ashida, Zongping Gong, Masahito Ueda · Advances In Physics | 2 Jul 2020 | 1,761 |
| 45 | Quantum Mechanics of Fractional-Spin Particles Frank A. Wilczek · Physical Review Letters | 4 Oct 1982 | 1,725 |
| 46 | Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian Ali Mostafazadeh · Journal of Mathematical Physics | 2002 | 1,718 |
| 47 | Confinement of Electrons to Quantum Corrals on a Metal Surface Michael F. Crommie, Christopher P. Lutz, D. M. Eigler · Science | 8 Oct 1993 | 1,694 |
| 48 | Time-dependent approach to semiclassical dynamics Eric J. Heller · The Journal of Chemical Physics | 15 Feb 1975 | 1,629 |
| 49 | The Factorization Method Léopold Infeld, T. E. Hull · Reviews of Modern Physics | 1951 | 1,596 |
| 50 | Making Sense of Non-Hermitian Hamiltonians Bender, C M · CERN Document Server (European Organization for Nuclear Research) | 9 Mar 2007 | 1,587 |
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.