| # | Title | Journal | Year | Citations |
|---|
| 1 | Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series | Chaos | 1995 | 3,180 |
| 2 | Practical implementation of nonlinear time series methods: The TISEAN package | Chaos | 1999 | 1,277 |
| 3 | Approximate entropy (ApEn) as a complexity measure | Chaos | 1995 | 994 |
| 4 | VORO++: A three-dimensional Voronoi cell library in C++ | Chaos | 2009 | 789 |
| 5 | Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation | Chaos | 1998 | 777 |
| 6 | Low dimensional behavior of large systems of globally coupled oscillators | Chaos | 2008 | 750 |
| 7 | Fundamentals of synchronization in chaotic systems, concepts, and applications | Chaos | 1997 | 746 |
| 8 | Fractional kinetic equations: solutions and applications | Chaos | 1997 | 732 |
| 9 | Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization | Chaos | 2007 | 683 |
| 10 | Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity | Chaos | 2002 | 542 |
| 11 | Nonlinear time series analysis of normal and pathological human walking | Chaos | 2000 | 494 |
| 12 | Gait dynamics in Parkinson’s disease: Common and distinct behavior among stride length, gait variability, and fractal-like scaling | Chaos | 2009 | 466 |
| 13 | Applied Koopmanism | Chaos | 2012 | 463 |
| 14 | Critical points and transitions in an electric power transmission model for cascading failure blackouts | Chaos | 2002 | 458 |
| 15 | Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media | Chaos | 1991 | 456 |
| 16 | Electrical alternans and spiral wave breakup in cardiac tissue | Chaos | 1994 | 436 |
| 17 | From 1/f noise to multifractal cascades in heartbeat dynamics | Chaos | 2001 | 431 |
| 18 | Quantitative analysis of heart rate variability | Chaos | 1995 | 425 |
| 19 | Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics | Chaos | 2000 | 418 |
| 20 | Robust detection of dynamic community structure in networks | Chaos | 2013 | 400 |
| 21 | Long time evolution of phase oscillator systems | Chaos | 2009 | 386 |
| 22 | Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data | Chaos | 2017 | 376 |
| 23 | From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion | Chaos | 2005 | 367 |
| 24 | Overview of coupled map lattices | Chaos | 1992 | 326 |
| 25 | Bistability in cell signaling: How to make continuous processes discontinuous, and reversible processes irreversible | Chaos | 2001 | 318 |
| 26 | Finding finite-time invariant manifolds in two-dimensional velocity fields | Chaos | 2000 | 314 |
| 27 | Adaptive synchronization of neural networks with or without time-varying delay | Chaos | 2006 | 310 |
| 28 | Do topological models provide good information about electricity infrastructure vulnerability? | Chaos | 2010 | 278 |
| 29 | Pinning synchronization of delayed dynamical networks via periodically intermittent control | Chaos | 2009 | 274 |
| 30 | Regularities unseen, randomness observed: Levels of entropy convergence | Chaos | 2003 | 273 |
| 31 | Reaction rate theory: What it was, where is it today, and where is it going? | Chaos | 2005 | 273 |
| 32 | A neural network model as a globally coupled map and applications based on chaos | Chaos | 1992 | 262 |
| 33 | Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling | Chaos | 2014 | 256 |
| 34 | Fractional differentiability of nowhere differentiable functions and dimensions | Chaos | 1996 | 255 |
| 35 | Power grid vulnerability: A complex network approach | Chaos | 2009 | 254 |
| 36 | Nonlinear time-series analysis revisited | Chaos | 2015 | 252 |
| 37 | Evolving functional network properties and synchronizability during human epileptic seizures | Chaos | 2008 | 251 |
| 38 | Synchronization of chaotic systems | Chaos | 2015 | 251 |
| 39 | The Fermi–Pasta–Ulam problem: Fifty years of progress | Chaos | 2005 | 247 |
| 40 | Velocity statistics in excited granular media | Chaos | 1999 | 246 |
| 41 | Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior | Chaos | 2001 | 246 |
| 42 | On noise reduction methods for chaotic data | Chaos | 1993 | 240 |
| 43 | Designer gene networks: Towards fundamental cellular control | Chaos | 2001 | 239 |
| 44 | Centrality in networks of urban streets | Chaos | 2006 | 238 |
| 45 | Delay-induced multiple stochastic resonances on scale-free neuronal networks | Chaos | 2009 | 236 |
| 46 | Metastable chimera states in community-structured oscillator networks | Chaos | 2010 | 227 |
| 47 | Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator | Chaos | 2017 | 225 |
| 48 | The size of the sync basin | Chaos | 2006 | 223 |
| 49 | Attractor reconstruction by machine learning | Chaos | 2018 | 222 |
| 50 | Fundamental aspects of quantum Brownian motion | Chaos | 2005 | 221 |
