Physica D-Nonlinear Phenomena

Article	Citations
Editorial Board	256
Editorial Board	84
Separation of the two-dimensional steady MHD boundary layer	64
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	64
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	62
Motifs, coherent configurations and second order network generation	55
On the Sun-shadow dynamics	53
On the structural sensitivity of some diffusion–reaction models of population dynamics	52
Bayesian learning of stochastic dynamical models	48
Latitudinal storm track shift in a reduced two-level model of the atmosphere	46
On the impact of short laser pulses on cold diluted plasmas	46
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	46
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	46
Editorial Board	45
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	42
Interactions of fractional N-solitons with anomalous dispersions for	41
The role of bilinguals in the Bayesian naming game	38
Flow-induced variations in odour boundary formation	37
Families of Q-balls in a deformed O(	37
Rare decaying ripple solutions within the KP equation	37
The numerical search for the internal dynamics of NHIMs and their pictorial representation	33
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	32
Subharmonic dynamics of wave trains in reaction–diffusion systems	31
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	31
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	30

On the dynamics of predator–prey models with role reversal	30
Time-fractional Allen–Cahn equations versus powers of the mean curvature	29
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	29
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	29
Editorial Board	28
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	27
Arbitrary sensitive transitions in recurrent neural networks	27
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	27
Asymmetric dual cascade in gravitational wave turbulence	26
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	26
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	26
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	26
A general view on double limits in differential equations	25
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	25
Hierarchical Partitioning Forecaster	25
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	24
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	24
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	24
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	23
To blow-up or not to blow-up for a granular kinetic equation	23
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	23
An analytical and computational study of the incompressible Toner–Tu Equations	22
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	22
Non-linearity and chaos in the kicked top	21
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	20
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	20
Collective behavior of self-propelled particles with heading estimation via focal observation	20
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	20
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	19
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	19
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	19
Applications of Grassmannian flows to coagulation equations	19
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	19
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	19
Classifications of bosonic supersymmetric third and fifth order systems	19
Progress, gaps and obstacles in the classification of cellular automata	19
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	19
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	18
Editorial Board	18
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	18
Editorial Board	18
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	18
Trends in COVID-19 prevalence and mortality: A year in review	17
On evolving network models and their influence on opinion formation	17
Bifurcation analysis of a discrete Nicholson’s blowflies model	17
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	16
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	16
Hamiltonian chaos and differential geometry of configuration space–time	16
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	16
Boundedness of bouncing balls in quadratic potentials	16

An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	16
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	16
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	15
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	15
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	15
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	15
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	15
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	15
Rayleigh–Taylor instability between unequally stratified layers	15
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	15
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	15
Long time bounds for coupled KdV equations	14
Defects and frustration in the packing of soft balls	14
Periodic orbits and integrability of Rocard’s system	14
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	14
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	14
The heterogeneous helicoseir	14
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	14
Thermally activated transitions between micromagnetic states	14
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	14
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	13
Noise-induced degeneration in online learning	13
Targeted influence maximization in complex networks	13
Entanglement properties of photon–magnon crystal from nonlinear perspective	13
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	13
Optimal control of oscillatory neuronal models with applications to communication through coherence	13
Improved buoyancy-drag model based on mean density profile and mass conservation principle	13
Noise-induced and border-collision-induced bubbling	13
NINNs: Nudging induced neural networks	13
Editorial Board	12
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	12
Weakly nonlinear analysis of minimal models for Turing patterns	12
Nonlinear Kelvin wakes and exponential asymptotics	12
Dispersion of tracer particles by wave turbulence	12
Bigraded modified Toda hierarchy and its extensions	12
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	12
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	12
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	12
A local sigma-point unscented Kalman filter for geophysical data assimilation	12
Normal forms of double Hopf oscillators with radial nonlinearities	12
On the collision dynamics in a molecular model	12
Learning governing equations of unobserved states in dynamical systems	11
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	11
Probability distribution in the Toda system: The singular route to a steady state	11
Symmetry & critical points for a model shallow neural network	11
A family of μ-Camassa–Holm-type equations with peaked solutions	11
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	11
Non-uniqueness of forced active scalar equations with even drift operators	11
One-shot learning of stochastic differential equations with data adapted kernels	11
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	11
The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	11
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds	11
Transfer operators from optimal transport plans for coherent set detection	11
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	11
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	11
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	11
Energy level structure of chaotic motion in bouncing ball system	11
PAC-learning gains of Turing machines over circuits and neural networks	10
Steady translating hollow vortex pair in weakly compressible flow	10
Emergent behaviors of relativistic flocks on Riemannian manifolds	10
Lp	10
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	10
Unexpected linearly stable orbits in 3-dimensional billiards	10
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	10
On behavior analysis of solutions for the coupled higher-order WKI equation	10
Isometries of the hypercube: A tool for Boolean regulatory networks analysis	10
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	10
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	10
Transport in reservoir computing	10
p-adic cellular neural networks: Applications to image processing	10
Editorial Board	10
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	10
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	10
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	10
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	10
Computational approximations of compact metric spaces	10
The long-time asymptotics of the derivative nonlinear Schr	10
Cluster distributions for dynamically defined point processes	10
Editorial Board	10
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	10

Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	10
A novel antimonotic hyperjerk system: Analysis, synchronization and circuit design	9
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	9
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	9
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	9
Weak solutions for stochastic differential equations with additive fractional noise	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
Power spectrum of the circular unitary ensemble	9
On the multi-component Fokas–Lenells system: KP reductions and various soliton solutions	9
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	9
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	9
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	9
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	9
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	9
Speed of traveling waves for monotone reaction–diffusion systems as a function of diffusion coefficients	9
Background flow hidden in a bound for Nusselt number	9
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	9
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	9
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	9
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	9
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	9
On Lax equations of the two-component BKP hierarchy	8
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	8
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	8
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	8
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	8
Editorial Board	8
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	8
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	8
Deterministic inhomogeneous ratchet in a periodic potential	8
Two dimensional singularity turbulence	8
Approximate solutions for the Vlasov–Poisson system with boundary layers	8
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	8
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	8
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	8
Thermal lifetime of breathers	8
Quantifying random collisions between particles inside and outside a circle	8
Editorial Board	8
Taming vibrational resonance by transient high frequency	8
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	8
Detecting causality in the frequency domain with Cross-Mapping Coherence	8
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	8
Editorial Board	8
General breather and rogue wave solutions to the complex short pulse equation	8
Biological aggregations from spatial memory and nonlocal advection	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	8
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	8
Editorial Board	8
Projective embedding of dynamical systems: Uniform mean field equations	8
On the integrability of the vocal fold model	8
Epidemic models with discrete state structures	7
General rogue wave solution to the discrete nonlinear Schrödinger equation	7
Bifurcations phenomena and route to chaos via the cosymmetry breaking in the Darcy convection problem	7
Solutions of an extended Duffing–van der Pol equation with variable coefficients	7
The non linear dynamics of retinal waves	7
Entropic extensivity and large deviations in the presence of strong correlations	7
Editorial Board	7
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	7
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	7
A theoretical model for a vane with stochastic rotation	7
Dispersive shock waves in lattices: A dimension reduction approach	7
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	7
Giant vortex in a harmonically-trapped rotating dipolar 164Dy condensate	7
Bringing Order to Disorder: A method for stabilising a chaotic system around an arbitrary unstable periodic orbit	7
Approximation of (some) random FPUT lattices by KdV equations	7
Dynamics of cubic–quintic nonlinear PT-symmetr	7
On asymptotic stability of multi-solitons for the focusing modified Korteweg–de Vries equation	7
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	7
Discrete models of complex systems: Recent trends and analytical challenges	7
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	7
Uncertainty quantification analysis of bifurcations of the Allen–Cahn equation with random coefficients	7
Existence of dark solitons for Kundu–Eckhaus equations	7
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	7
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	7
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	7
Influence network reconstruction from discrete time-series of count data modelled by multidimensional Hawkes processes	7
Cubic algebras, induced representations and general solution of the exceptional Laguerre equation	7
Inverse problems of inhomogeneous fracture toughness using phase-field models	7
A stochastic approximation for the finite-size Kuramoto–Sakaguchi model	7
Supercritical Hopf bifurcation in baleen whale populations	7
Detecting stochastic governing laws with observation on stationary distributions	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7
Nonlinear science against the COVID-19 pandemic	7
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	7
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	7
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	7
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition	7
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
Perturbation and determinacy of nonsmooth systems	7