Physica D-Nonlinear Phenomena

(The TQCC of Physica D-Nonlinear Phenomena is 19. The table below lists those papers that are above that threshold based on CrossRef citation counts. The publications cover those that have been published in the past four years, i.e., from 2019-06-01 to 2023-06-01.)
Determining Lyapunov exponents from a time series6020
A practical method for calculating largest Lyapunov exponents from small data sets2233
From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators2013
Extracting qualitative dynamics from experimental data1483
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows943
Dimensions and entropies of strange attractors from a fluctuating dynamics approach414
Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation311
Transformation groups for soliton equations228
Universal properties of the transition from quasi-periodicity to chaos in dissipative systems209
Dynamics from multivariate time series205
Dynamics and bifurcations of nonsmooth systems: A survey192
Mechanical integrators derived from a discrete variational principle177
A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics174
Partial synchronization: from symmetry towards stability157
Estimating correlation dimension from a chaotic time series: when does plateau onset occur?143
Integrable equations arising from motions of plane curves137
Reconstructing attractors from scalar time series: A comparison of singular system and redundancy criteria136
A noise reduction method for signals from nonlinear systems116
A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals95
From collective oscillations to collective chaos in a globally coupled oscillator system93
Extracting fractal components from time series92
(INVITED) Vortex solitons: Old results and new perspectives89
Discrete phase transition of giant DNA dynamics of globule formation from a single molecular chain84
Johnson-Nyquist noise derived from quantum mechanical transmission83
A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion74
Similarity reductions from extended Painlevé expansions for nonintegrable evolution equations73
Construction of multivariate surrogate sets from nonlinear data using the wavelet transform73
Scattering from fractal structures73
The theory of large deviations: from Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence73
Extracting cellular automaton rules directly from experimental data70
Reconstruction of time-delayed feedback systems from time series68
Energy transport in anharmonic lattices close to and far from equilibrium65
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation63
Fractal properties of escape from a two-dimensional potential59
Interspike interval attractors from chaotically driven neuron models59
Effective scaling regime for computing the correlation dimension from chaotic time series59
From random walks to spin glasses59
KAM tori are very sticky: rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow54
Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon54
Chance and necessity in evolution: lessons from RNA52
Self-stretching of a perturbed vortex filament I. The asymptotic equation for deviations from a straight line47
Detection of chaotic determinism in time series from randomly forced maps44
Estimating dimension from small samples44
Riemann–Hilbert method for the Wadati–Konno–Ichikawa equation: N simp44
Construction of phenomenological models from numerical scalar time series44
Reversible cellular automata with memory: two-dimensional patterns from a single site seed42
Characterizing nonlinearity in invasive EEG recordings from temporal lobe epilepsy42
Evidence of intermittent cascades from discrete hierarchical dissipation in turbulence42
Quantum chaos in many-body systems: what can we learn from the Ce atom?42
On designing heteroclinic networks from graphs42
Problems in estimating dynamics from data41
Bifurcations from regular quotient networks: A first insight41
Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering40
From template analysis to generating partitions40
Inferring mechanism from time-series data: Delay-differential equations40
Extraction of delay information from chaotic time series based on information entropy39
Explicit formulae for the peak time of an epidemic from the SIR model37
Optimal escape from potential wells-patterns of regular and chaotic bifurcation37
From quasi-2D to 3D Turing patterns in ramped systems37
Observation of dispersive shock waves developing from initial depressions in shallow water37
Solitons from sine waves: Analytical and numerical methods for non-integrable solitary and cnoidal waves36
Kolmogorov–Sinai entropy from the ordinal viewpoint36
Estimating 1/fα scaling exponents from short time-series35
The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities34
Limit cycles in planar piecewise linear differential systems with nonregular separation line34
Vulnerability in excitable Belousov-Zhabotinsky medium: from 1D to 2D34
Fitting parameters in partial differential equations from partially observed noisy data34
A numerical approach to blow-up issues for dispersive perturbations of Burgers’ equation34
Emission from, quasi-classical quantization, and stochastic decay of sine-Gordon solitons in external fields34
Extraction of dynamical equations from chaotic data34
Pattern formation from defect chaos — a theory of chevrons33
Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps33
Nonlinear optical vibrations of single-walled carbon nanotubes. 1. Energy exchange and localization of low-frequency oscillations33
Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation33
Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology31
Minimal dynamical systems from PDEs using Sobolev eigenfunctions31
Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in29
From trigger to phase waves and back again29
On the phenomenon of mixed dynamics in Pikovsky–Topaj system of coupled rotators29
Topology from time series27
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows26
Phyllotaxis: Some progress, but a story far from over26
On the transition from the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation26
An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal25
Quantum maps from transfer operators25
A fast general purpose algorithm for the computation of auto- and cross-correlation integrals from single channel data25
Numerical analysis of the subcritical feature of electro-thermo-convection in a plane layer of dielectric liquid25
Properties of solutions to a class of differential models incorporating Preisach hysteresis operator24
A Lagrangian description of transport associated with a front–eddy interaction: Application to data from the North-Western Mediterranean Sea24
Exploiting stiffness nonlinearities to improve flow energy capture from the wake of a bluff body24
Quantum intermittency in almost-periodic lattice systems derived from their spectral properties23
Estimating the correlation dimension of an attractor from noisy and small datasets based on re-embedding23
On the dynamical stability and instability of Parker problem22
Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation22
Horizontal rolls over localized heat source in a cylindrical layer22
From template analysis to generating partitions22
Kinetic hierarchy and propagation of chaos in biological swarm models21
Two-fluid model of the truncated Euler equations20
Asymptotic behavior of a neural field lattice model with a Heaviside operator20
From genetic evolution to emergence of game strategies20
Modeling chaotic motions of a string from experimental data20
A kinematic evolution equation for the dynamic contact angle and some consequences20
Dynamic reconstruction of chaotic systems from inter-spike intervals using least squares support vector machines20
Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments20
Numerical modeling of soliton turbulence within the focusing Gardner equation: Rogue wave emergence20
On some derivations of Irreversible Thermodynamics from dynamical systems theory19
Global dynamics for steep nonlinearities in two dimensions19
Extracting order parameters from global measurements with application to coupled electrochemical oscillators19
A class of nonlinear front evolution equations derived from geometry and conservation19
Reconstructing bifurcation diagrams only from time-waveforms19
Markov chain Monte Carlo estimation of nonlinear dynamics from time series19
Analysis of positive Lyapunov exponents from random time series19
Supercritical fluid thermodynamics from equations of state19
Detecting changes in coupling with Granger causality method from time series with fast transient processes19
Generalized recurrence plots for the analysis of images from spatially distributed systems19