| 1 | Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series | Chaos | 1995 | 3,448 |
| 2 | Practical implementation of nonlinear time series methods: The TISEAN package | Chaos | 1999 | 1,326 |
| 3 | Approximate entropy (ApEn) as a complexity measure | Chaos | 1995 | 1,074 |
| 4 | Low dimensional behavior of large systems of globally coupled oscillators | Chaos | 2008 | 863 |
| 5 | Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation | Chaos | 1998 | 832 |
| 6 | Fractional kinetic equations: solutions and applications | Chaos | 1997 | 800 |
| 7 | Fundamentals of synchronization in chaotic systems, concepts, and applications | Chaos | 1997 | 787 |
| 8 | Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization | Chaos | 2007 | 744 |
| 9 | Applied Koopmanism | Chaos | 2012 | 625 |
| 10 | Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity | Chaos | 2002 | 578 |
| 11 | Nonlinear time series analysis of normal and pathological human walking | Chaos | 2000 | 529 |
| 12 | Gait dynamics in Parkinson’s disease: Common and distinct behavior among stride length, gait variability, and fractal-like scaling | Chaos | 2009 | 528 |
| 13 | Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data | Chaos | 2017 | 521 |
| 14 | Critical points and transitions in an electric power transmission model for cascading failure blackouts | Chaos | 2002 | 476 |
| 15 | Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media | Chaos | 1991 | 471 |
| 16 | Robust detection of dynamic community structure in networks | Chaos | 2013 | 467 |
| 17 | Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics | Chaos | 2000 | 455 |
| 18 | Electrical alternans and spiral wave breakup in cardiac tissue | Chaos | 1994 | 448 |
| 19 | From 1/f noise to multifractal cascades in heartbeat dynamics | Chaos | 2001 | 447 |
| 20 | Quantitative analysis of heart rate variability | Chaos | 1995 | 442 |
| 21 | From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion | Chaos | 2005 | 422 |
| 22 | Long time evolution of phase oscillator systems | Chaos | 2009 | 422 |
| 23 | Overview of coupled map lattices | Chaos | 1992 | 356 |
| 24 | Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator | Chaos | 2017 | 336 |
| 25 | Bistability in cell signaling: How to make continuous processes discontinuous, and reversible processes irreversible | Chaos | 2001 | 334 |
| 26 | Finding finite-time invariant manifolds in two-dimensional velocity fields | Chaos | 2000 | 325 |
| 27 | Adaptive synchronization of neural networks with or without time-varying delay | Chaos | 2006 | 321 |
| 28 | Causal network reconstruction from time series: From theoretical assumptions to practical estimation | Chaos | 2018 | 319 |
| 29 | Attractor reconstruction by machine learning | Chaos | 2018 | 308 |
| 30 | A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator | Chaos | 2019 | 303 |
| 31 | Nonlinear time-series analysis revisited | Chaos | 2015 | 301 |
| 32 | Pinning synchronization of delayed dynamical networks via periodically intermittent control | Chaos | 2009 | 299 |
| 33 | Regularities unseen, randomness observed: Levels of entropy convergence | Chaos | 2003 | 297 |
| 34 | Reaction rate theory: What it was, where is it today, and where is it going? | Chaos | 2005 | 297 |
| 35 | Synchronization of chaotic systems | Chaos | 2015 | 297 |
| 36 | Do topological models provide good information about electricity infrastructure vulnerability? | Chaos | 2010 | 294 |
| 37 | Hybrid forecasting of chaotic processes: Using machine learning in conjunction with a knowledge-based model | Chaos | 2018 | 292 |
| 38 | Fractional differentiability of nowhere differentiable functions and dimensions | Chaos | 1996 | 289 |
| 39 | Power grid vulnerability: A complex network approach | Chaos | 2009 | 288 |
| 40 | The Fermi–Pasta–Ulam problem: Fifty years of progress | Chaos | 2005 | 287 |
| 41 | Reservoir observers: Model-free inference of unmeasured variables in chaotic systems | Chaos | 2017 | 276 |
| 42 | The size of the sync basin | Chaos | 2006 | 269 |
| 43 | Evolving functional network properties and synchronizability during human epileptic seizures | Chaos | 2008 | 269 |
| 44 | A neural network model as a globally coupled map and applications based on chaos | Chaos | 1992 | 267 |
| 45 | Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling | Chaos | 2014 | 267 |
| 46 | Metastable chimera states in community-structured oscillator networks | Chaos | 2010 | 264 |
| 47 | Centrality in networks of urban streets | Chaos | 2006 | 262 |
| 48 | Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior | Chaos | 2001 | 253 |
| 49 | Velocity statistics in excited granular media | Chaos | 1999 | 252 |
| 50 | On noise reduction methods for chaotic data | Chaos | 1993 | 248 |
