Physica D-Nonlinear Phenomena

Article	Citations
Editorial Board	230
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	80
Editorial Board	71
The role of bilinguals in the Bayesian naming game	62
Mechanisms of stationary converted waves and their complexes in the multi-component AB system	61
Subharmonic dynamics of wave trains in reaction–diffusion systems	59
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	56
Rare decaying ripple solutions within the KP equation	50
Separation of the two-dimensional steady MHD boundary layer	49
On the dynamics of predator–prey models with role reversal	48
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	47
Time-fractional Allen–Cahn equations versus powers of the mean curvature	44
On the Sun-shadow dynamics	42
Motifs, coherent configurations and second order network generation	42
Families of Q-balls in a deformed O(	41
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	40
On the structural sensitivity of some diffusion–reaction models of population dynamics	39
Interactions of fractional N-solitons with anomalous dispersions for	36
On the impact of short laser pulses on cold diluted plasmas	35
The numerical search for the internal dynamics of NHIMs and their pictorial representation	35
Bayesian learning of stochastic dynamical models	35
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	35
Latitudinal storm track shift in a reduced two-level model of the atmosphere	34
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	33
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	32

Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	31
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	30
Editorial Board	28
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	27
Editorial Board	27
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	26
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	25
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	25
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	25
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	25
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	24
Classifications of bosonic supersymmetric third and fifth order systems	24
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	24
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	24
Non-linearity and chaos in the kicked top	24
Arbitrary sensitive transitions in recurrent neural networks	24
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	23
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	22
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	21
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	21
An analytical and computational study of the incompressible Toner–Tu Equations	21
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	21
Applications of Grassmannian flows to coagulation equations	21
To blow-up or not to blow-up for a granular kinetic equation	20
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	20
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	19
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	19
Hierarchical Partitioning Forecaster	19
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	18
Collective behavior of self-propelled particles with heading estimation via focal observation	18
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	18
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	18
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	18
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	18
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	18
A general view on double limits in differential equations	18
Editorial Board	17
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	17
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	17
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	17
Editorial Board	17
Progress, gaps and obstacles in the classification of cellular automata	17
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	16
On evolving network models and their influence on opinion formation	16
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	16
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	16
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	16
Trends in COVID-19 prevalence and mortality: A year in review	16
Rayleigh–Taylor instability between unequally stratified layers	15
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	15

Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	15
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	15
Noise-induced degeneration in online learning	15
Noise-induced and border-collision-induced bubbling	15
Network of networks: A bibliometric analysis	15
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	14
On the collision dynamics in a molecular model	14
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	14
Hamiltonian chaos and differential geometry of configuration space–time	14
Long time bounds for coupled KdV equations	14
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	14
Optimal control of oscillatory neuronal models with applications to communication through coherence	14
NINNs: Nudging induced neural networks	14
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	13
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	13
Targeted influence maximization in complex networks	13
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	13
Theoretical analysis of the effect of strength on oscillations and Rayleigh-Taylor instabilities on a collapsing spherical surface, supported by a study on Bell-Plesset oscillations	13
Thermally activated transitions between micromagnetic states	13
Periodic orbits and integrability of Rocard’s system	13
The heterogeneous helicoseir	13
Defects and frustration in the packing of soft balls	12
Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation	12
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	12
Nonlinear Kelvin wakes and exponential asymptotics	12
Boundedness of bouncing balls in quadratic potentials	12
Bifurcation analysis of a discrete Nicholson’s blowflies model	12
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	12
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	12
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	12
The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	11
Editorial Board	11
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	11
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	11
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	11
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	11
Energy level structure of chaotic motion in bouncing ball system	11
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	11
Normal forms of double Hopf oscillators with radial nonlinearities	11
Bigraded modified Toda hierarchy and its extensions	11
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	11
Dynamics of the Tyson–Hong–Thron–Novak circadian oscillator model	11
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	11
Dispersion of tracer particles by wave turbulence	11
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	10
Weakly nonlinear analysis of minimal models for Turing patterns	10
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	10
Transfer operators from optimal transport plans for coherent set detection	10
Non-uniqueness of forced active scalar equations with even drift operators	10
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	10
On behavior analysis of solutions for the coupled higher-order WKI equation	10
One-shot learning of stochastic differential equations with data adapted kernels	10
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	10
Learning governing equations of unobserved states in dynamical systems	10
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	10
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	10
A local sigma-point unscented Kalman filter for geophysical data assimilation	10
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	10
Symmetry & critical points for a model shallow neural network	10
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	10
Probability distribution in the Toda system: The singular route to a steady state	10
Steady translating hollow vortex pair in weakly compressible flow	9
Cluster distributions for dynamically defined point processes	9
Unexpected linearly stable orbits in 3-dimensional billiards	9
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	9
Isometries of the hypercube: A tool for Boolean regulatory networks analysis	9
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	9
A novel antimonotic hyperjerk system: Analysis, synchronization and circuit design	9
Editorial Board	9
p-adic cellular neural networks: Applications to image processing	9
The long-time asymptotics of the derivative nonlinear Schr	9
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	9
On the instability of standing waves for 3D dipolar Bose–Einstein condensates	9
Lp	9
Editorial Board	9
PAC-learning gains of Turing machines over circuits and neural networks	9
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	9
The Entropy Economy and the Kolmogorov Learning Cycle: Leveraging the intersection of Machine Learning and Algorithmic Information Theory to jointly optimize energy and learning	9
Computational approximations of compact metric spaces	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	8

Transverse bifurcation of viscous slow MHD shocks	8
Background flow hidden in a bound for Nusselt number	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	8
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	8
Speed of traveling waves for monotone reaction–diffusion systems as a function of diffusion coefficients	8
Weak solutions for stochastic differential equations with additive fractional noise	8
Transport in reservoir computing	8
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	8
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	8
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	8
Power spectrum of the circular unitary ensemble	8
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	8
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	8
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	8
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	8
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	8
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	8
On the integrability of the vocal fold model	8
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	8
On Lax equations of the two-component BKP hierarchy	8
Projective embedding of dynamical systems: Uniform mean field equations	8
Editorial Board	8
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	8
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	8
Emergent behaviors of relativistic flocks on Riemannian manifolds	8
Two dimensional singularity turbulence	8
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	8
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	8
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
A theoretical model for a vane with stochastic rotation	7
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	7
General breather and rogue wave solutions to the complex short pulse equation	7
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	7
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	7
Taming vibrational resonance by transient high frequency	7
Dynamics of cubic–quintic nonlinear PT-symmetr	7
Editorial Board	7
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	7
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	7
Dispersive shock waves in lattices: A dimension reduction approach	7
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	7
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	7
Deterministic inhomogeneous ratchet in a periodic potential	7
Biological aggregations from spatial memory and nonlocal advection	7
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	7
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	7
Editorial Board	7
Thermal lifetime of breathers	7
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	7
Supercritical Hopf bifurcation in baleen whale populations	7
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	7
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	7
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	7
Entropic extensivity and large deviations in the presence of strong correlations	7
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	7
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	7
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	7
Approximate solutions for the Vlasov–Poisson system with boundary layers	7
Editorial Board	7
Quantifying random collisions between particles inside and outside a circle	7
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition	7
Mathematical formulation of a dynamical system with dry friction subjected to external forces	7
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7
A simple but complex enough θ-SIR type model to be used with COVID-1	6
Nonlinear science against the COVID-19 pandemic	6
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	6
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	6
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	6
Bifurcations phenomena and route to chaos via the cosymmetry breaking in the Darcy convection problem	6
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D	6
Epidemic models with discrete state structures	6
Inverse problems of inhomogeneous fracture toughness using phase-field models	6
Uncertainty quantification analysis of bifurcations of the Allen–Cahn equation with random coefficients	6
Detecting stochastic governing laws with observation on stationary distributions	6
Existence of dark solitons for Kundu–Eckhaus equations	6
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	6
Complex dynamics of a vibration machine caused by a relay feedback control	6
On asymptotic stability of multi-solitons for the focusing modified Korteweg–de Vries equation	6
On the behavior of multidimensional radially symmetric solutions of the repulsive Euler–Poisson equations	6
Bringing Order to Disorder: A method for stabilising a chaotic system around an arbitrary unstable periodic orbit	6
General rogue wave solution to the discrete nonlinear Schrödinger equation	6
Approximation of (some) random FPUT lattices by KdV equations	6
Polynomial sequences related to point vortex equilibria with three strengths	6
Solutions of an extended Duffing-van der Pol equation with variable coefficients	6
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	6
Giant vortex in a harmonically-trapped rotating dipolar 164Dy condensate	6
A stochastic approximation for the finite-size Kuramoto–Sakaguchi model	6
Inverse scattering transform for the focusing PT-symmetric nonlinear Schrödinger equation with nonzero boundary conditions: Higher-order poles and multi-soliton solutions	6
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows	6
Numerical simulation methods and analysis for the dynamics of the time-fractional KdV equation	6
Existence of traveling wave solutions in continuous optimal velocity models	6