| # | Title | Journal | Year | Citations |
|---|
| 1 | Nonlinear total variation based noise removal algorithms | Physica D: Nonlinear Phenomena | 1992 | 12,211 |
| 2 | Determining Lyapunov exponents from a time series | Physica D: Nonlinear Phenomena | 1985 | 7,198 |
| 3 | Measuring the strangeness of strange attractors | Physica D: Nonlinear Phenomena | 1983 | 4,227 |
| 4 | Testing for nonlinearity in time series: the method of surrogate data | Physica D: Nonlinear Phenomena | 1992 | 3,281 |
| 5 | The symbol grounding problem | Physica D: Nonlinear Phenomena | 1990 | 2,909 |
| 6 | A practical method for calculating largest Lyapunov exponents from small data sets | Physica D: Nonlinear Phenomena | 1993 | 2,640 |
| 7 | From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators | Physica D: Nonlinear Phenomena | 2000 | 2,288 |
| 8 | Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term Memory (LSTM) network | Physica D: Nonlinear Phenomena | 2020 | 1,917 |
| 9 | Extracting qualitative dynamics from experimental data | Physica D: Nonlinear Phenomena | 1986 | 1,818 |
| 10 | Approach to an irregular time series on the basis of the fractal theory | Physica D: Nonlinear Phenomena | 1988 | 1,659 |
| 11 | The infinite number of generalized dimensions of fractals and strange attractors | Physica D: Nonlinear Phenomena | 1983 | 1,472 |
| 12 | Symplectic structures, their Bäcklund transformations and hereditary symmetries | Physica D: Nonlinear Phenomena | 1981 | 1,420 |
| 13 | Surrogate time series | Physica D: Nonlinear Phenomena | 2000 | 1,399 |
| 14 | Practical method for determining the minimum embedding dimension of a scalar time series | Physica D: Nonlinear Phenomena | 1997 | 1,346 |
| 15 | Universality and complexity in cellular automata | Physica D: Nonlinear Phenomena | 1984 | 1,335 |
| 16 | Computation at the edge of chaos: Phase transitions and emergent computation | Physica D: Nonlinear Phenomena | 1990 | 1,190 |
| 17 | Singular-spectrum analysis: A toolkit for short, noisy chaotic signals | Physica D: Nonlinear Phenomena | 1992 | 1,189 |
| 18 | Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter | Physica D: Nonlinear Phenomena | 2007 | 1,164 |
| 19 | Modeling and numerical simulations of dendritic crystal growth | Physica D: Nonlinear Phenomena | 1993 | 1,161 |
| 20 | Nonlinear prediction of chaotic time series | Physica D: Nonlinear Phenomena | 1989 | 1,140 |
| 21 | Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients | Physica D: Nonlinear Phenomena | 2000 | 1,099 |
| 22 | Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows | Physica D: Nonlinear Phenomena | 2005 | 1,085 |
| 23 | Crises, sudden changes in chaotic attractors, and transient chaos | Physica D: Nonlinear Phenomena | 1983 | 1,073 |
| 24 | Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series | Physica D: Nonlinear Phenomena | 1989 | 1,002 |
| 25 | The immune system, adaptation, and machine learning | Physica D: Nonlinear Phenomena | 1986 | 948 |
| 26 | An overview of Rayleigh-Taylor instability | Physica D: Nonlinear Phenomena | 1984 | 873 |
| 27 | The dynamics of enstrophy transfer in two-dimensional hydrodynamics | Physica D: Nonlinear Phenomena | 1991 | 872 |
| 28 | Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator | Physica D: Nonlinear Phenomena | 2010 | 808 |
| 29 | The dimension of chaotic attractors | Physica D: Nonlinear Phenomena | 1983 | 802 |
| 30 | A phase field concept for multiphase systems | Physica D: Nonlinear Phenomena | 1996 | 778 |
| 31 | Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements | Physica D: Nonlinear Phenomena | 1990 | 754 |
| 32 | Chaotic attractors of an infinite-dimensional dynamical system | Physica D: Nonlinear Phenomena | 1982 | 747 |
| 33 | Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance | Physica D: Nonlinear Phenomena | 1996 | 719 |
| 34 | Lagrangian coherent structures and mixing in two-dimensional turbulence | Physica D: Nonlinear Phenomena | 2000 | 717 |
| 35 | Distinguished material surfaces and coherent structures in three-dimensional fluid flows | Physica D: Nonlinear Phenomena | 2001 | 691 |
| 36 | Breathers in nonlinear lattices: Existence, linear stability and quantization | Physica D: Nonlinear Phenomena | 1997 | 680 |
| 37 | Singular perturbation theory of traveling waves in excitable media (a review) | Physica D: Nonlinear Phenomena | 1988 | 678 |
| 38 | The maximum speed of dynamical evolution | Physica D: Nonlinear Phenomena | 1998 | 673 |
| 39 | Nonlinear dynamics, delay times, and embedding windows | Physica D: Nonlinear Phenomena | 1999 | 668 |
| 40 | Velocity probability density functions of high Reynolds number turbulence | Physica D: Nonlinear Phenomena | 1990 | 653 |
| 41 | Modulation instability: The beginning | Physica D: Nonlinear Phenomena | 2009 | 636 |
| 42 | Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II | Physica D: Nonlinear Phenomena | 1981 | 615 |
| 43 | Front motion, metastability and subcritical bifurcations in hydrodynamics | Physica D: Nonlinear Phenomena | 1986 | 614 |
| 44 | The calculi of emergence: computation, dynamics and induction | Physica D: Nonlinear Phenomena | 1994 | 603 |
| 45 | Finite correlation dimension for stochastic systems with power-law spectra | Physica D: Nonlinear Phenomena | 1989 | 598 |
| 46 | Transport in Hamiltonian systems | Physica D: Nonlinear Phenomena | 1984 | 589 |
| 47 | Model reduction for compressible flows using POD and Galerkin projection | Physica D: Nonlinear Phenomena | 2004 | 589 |
| 48 | Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems | Physica D: Nonlinear Phenomena | 1992 | 588 |
| 49 | Synchronization likelihood: an unbiased measure of generalized synchronization in multivariate data sets | Physica D: Nonlinear Phenomena | 2002 | 579 |
| 50 | The discrete self-trapping equation | Physica D: Nonlinear Phenomena | 1985 | 563 |
