Physica D-Nonlinear Phenomena

Article	Citations
Determining Lyapunov exponents from a time series	6020
A practical method for calculating largest Lyapunov exponents from small data sets	2233
From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators	2013
Extracting qualitative dynamics from experimental data	1483
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows	943
Dimensions and entropies of strange attractors from a fluctuating dynamics approach	414
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation	311
Transformation groups for soliton equations	228
Universal properties of the transition from quasi-periodicity to chaos in dissipative systems	209
Dynamics from multivariate time series	205
Dynamics and bifurcations of nonsmooth systems: A survey	192
Mechanical integrators derived from a discrete variational principle	177
A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics	174
Partial synchronization: from symmetry towards stability	157
Estimating correlation dimension from a chaotic time series: when does plateau onset occur?	143
Integrable equations arising from motions of plane curves	137
Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria	136
A noise reduction method for signals from nonlinear systems	116
A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals	95
From collective oscillations to collective chaos in a globally coupled oscillator system	93
Extracting fractal components from time series	92
(INVITED) Vortex solitons: Old results and new perspectives	89
Discrete phase transition of giant DNA dynamics of globule formation from a single molecular chain	84
Johnson-Nyquist noise derived from quantum mechanical transmission	83
A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion	74

Similarity reductions from extended Painlevé expansions for nonintegrable evolution equations	73
Construction of multivariate surrogate sets from nonlinear data using the wavelet transform	73
Scattering from fractal structures	73
The theory of large deviations: from Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence	73
Extracting cellular automaton rules directly from experimental data	70
Reconstruction of time-delayed feedback systems from time series	68
Energy transport in anharmonic lattices close to and far from equilibrium	65
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation	63
Fractal properties of escape from a two-dimensional potential	59
Interspike interval attractors from chaotically driven neuron models	59
Effective scaling regime for computing the correlation dimension from chaotic time series	59
From random walks to spin glasses	59
KAM tori are very sticky: rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow	54
Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon	54
Chance and necessity in evolution: lessons from RNA	52
Self-stretching of a perturbed vortex filament I. The asymptotic equation for deviations from a straight line	47
Detection of chaotic determinism in time series from randomly forced maps	44
Estimating dimension from small samples	44
Riemann–Hilbert method for the Wadati–Konno–Ichikawa equation: N simp	44
Construction of phenomenological models from numerical scalar time series	44
Reversible cellular automata with memory: two-dimensional patterns from a single site seed	42
Characterizing nonlinearity in invasive EEG recordings from temporal lobe epilepsy	42
Evidence of intermittent cascades from discrete hierarchical dissipation in turbulence	42
Quantum chaos in many-body systems: what can we learn from the Ce atom?	42
On designing heteroclinic networks from graphs	42
Problems in estimating dynamics from data	41
Bifurcations from regular quotient networks: A first insight	41
Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering	40
From template analysis to generating partitions	40
Inferring mechanism from time-series data: Delay-differential equations	40
Extraction of delay information from chaotic time series based on information entropy	39
Explicit formulae for the peak time of an epidemic from the SIR model	37
Optimal escape from potential wells-patterns of regular and chaotic bifurcation	37
From quasi-2D to 3D Turing patterns in ramped systems	37
Observation of dispersive shock waves developing from initial depressions in shallow water	37
Solitons from sine waves: Analytical and numerical methods for non-integrable solitary and cnoidal waves	36
Kolmogorov–Sinai entropy from the ordinal viewpoint	36
Estimating 1/fα scaling exponents from short time-series	35
The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities	34
Limit cycles in planar piecewise linear differential systems with nonregular separation line	34
Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D	34
Fitting parameters in partial differential equations from partially observed noisy data	34
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation	34
Emission from, quasi-classical quantization, and stochastic decay of sine-Gordon solitons in external fields	34
Extraction of dynamical equations from chaotic data	34
Pattern formation from defect chaos — a theory of chevrons	33
Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps	33
Nonlinear optical vibrations of single-walled carbon nanotubes. 1. Energy exchange and localization of low-frequency oscillations	33
Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation	33
Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology	31

Minimal dynamical systems from PDEs using Sobolev eigenfunctions	31
Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in	29
From trigger to phase waves and back again	29
On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators	29
Topology from time series	27
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows	26
Phyllotaxis: Some progress, but a story far from over	26
On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation	26
An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal	25
Quantum maps from transfer operators	25
A fast general purpose algorithm for the computation of auto- and cross-correlation integrals from single channel data	25
Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid	25
Properties of solutions to a class of differential models incorporating Preisach hysteresis operator	24
A Lagrangian description of transport associated with a front–eddy interaction: Application to data from the North-Western Mediterranean Sea	24
Exploiting stiffness nonlinearities to improve flow energy capture from the wake of a bluff body	24
Quantum intermittency in almost-periodic lattice systems derived from their spectral properties	23
Estimating the correlation dimension of an attractor from noisy and small datasets based on re-embedding	23
On the dynamical stability and instability of Parker problem	22
Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation	22
Horizontal rolls over localized heat source in a cylindrical layer	22
From template analysis to generating partitions	22
Kinetic hierarchy and propagation of chaos in biological swarm models	21
Two-fluid model of the truncated Euler equations	20
Asymptotic behavior of a neural field lattice model with a Heaviside operator	20
From genetic evolution to emergence of game strategies	20
Modeling chaotic motions of a string from experimental data	20
A kinematic evolution equation for the dynamic contact angle and some consequences	20
Dynamic reconstruction of chaotic systems from inter-spike intervals using least squares support vector machines	20
Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments	20
Numerical modeling of soliton turbulence within the focusing Gardner equation: Rogue wave emergence	20
On some derivations of Irreversible Thermodynamics from dynamical systems theory	19
Global dynamics for steep nonlinearities in two dimensions	19
Extracting order parameters from global measurements with application to coupled electrochemical oscillators	19
A class of nonlinear front evolution equations derived from geometry and conservation	19
Reconstructing bifurcation diagrams only from time-waveforms	19
Markov chain Monte Carlo estimation of nonlinear dynamics from time series	19
Analysis of positive Lyapunov exponents from random time series	19
Supercritical fluid thermodynamics from equations of state	19
Detecting changes in coupling with Granger causality method from time series with fast transient processes	19
Generalized recurrence plots for the analysis of images from spatially distributed systems	19