Physica D-Nonlinear Phenomena

Article	Citations
Editorial Board	239
Editorial Board	82
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	64
Rare decaying ripple solutions within the KP equation	62
Separation of the two-dimensional steady MHD boundary layer	59
On the dynamics of predator–prey models with role reversal	57
Time-fractional Allen–Cahn equations versus powers of the mean curvature	53
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	53
Motifs, coherent configurations and second order network generation	49
On the Sun-shadow dynamics	47
On the impact of short laser pulses on cold diluted plasmas	45
Latitudinal storm track shift in a reduced two-level model of the atmosphere	45
Editorial Board	44
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	42
On the structural sensitivity of some diffusion–reaction models of population dynamics	41
Interactions of fractional N-solitons with anomalous dispersions for	39
Bayesian learning of stochastic dynamical models	38
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	37
The role of bilinguals in the Bayesian naming game	37
Families of Q-balls in a deformed O(	35
The numerical search for the internal dynamics of NHIMs and their pictorial representation	35
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	35
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	33
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	32
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	31

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

Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	15
Optimal control of oscillatory neuronal models with applications to communication through coherence	15
On the collision dynamics in a molecular model	15
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	15
Rayleigh–Taylor instability between unequally stratified layers	15
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	14
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	14
Long time bounds for coupled KdV equations	14
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	14
NINNs: Nudging induced neural networks	14
Thermally activated transitions between micromagnetic states	14
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	13
Targeted influence maximization in complex networks	13
Nonlinear Kelvin wakes and exponential asymptotics	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
Defects and frustration in the packing of soft balls	13
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	13
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	13
The heterogeneous helicoseir	13
Periodic orbits and integrability of Rocard’s system	13
Entanglement properties of photon–magnon crystal from nonlinear perspective	12
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	12
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	12
Improved buoyancy-drag model based on mean density profile and mass conservation principle	12
Noise-induced degeneration in online learning	12
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	12
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	12
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	12
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	12
Noise-induced and border-collision-induced bubbling	12
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	12
Weakly nonlinear analysis of minimal models for Turing patterns	11
On behavior analysis of solutions for the coupled higher-order WKI equation	11
Learning governing equations of unobserved states in dynamical systems	11
Editorial Board	11
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	11
Bigraded modified Toda hierarchy and its extensions	11
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	11
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	11
Dynamics of the Tyson–Hong–Thron–Novak circadian oscillator model	11
Normal forms of double Hopf oscillators with radial nonlinearities	11
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	11
A local sigma-point unscented Kalman filter for geophysical data assimilation	11
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	11
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	11
Dispersion of tracer particles by wave turbulence	11
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	11
Symmetry & critical points for a model shallow neural network	10
Non-uniqueness of forced active scalar equations with even drift operators	10
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	10
The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	10
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	10
One-shot learning of stochastic differential equations with data adapted kernels	10
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	10
Probability distribution in the Toda system: The singular route to a steady state	10
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	10
Energy level structure of chaotic motion in bouncing ball system	10
A family of μ-Camassa–Holm-type equations with peaked solutions	10
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	10
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	10
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	10
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	10
Transfer operators from optimal transport plans for coherent set detection	10
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	10
Speed of traveling waves for monotone reaction–diffusion systems as a function of diffusion coefficients	9
p-adic cellular neural networks: Applications to image processing	9
Editorial Board	9
Cluster distributions for dynamically defined point processes	9
Editorial Board	9
Computational approximations of compact metric spaces	9
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	9
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	9
Lp	9
Steady translating hollow vortex pair in weakly compressible flow	9
Unexpected linearly stable orbits in 3-dimensional billiards	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
The long-time asymptotics of the derivative nonlinear Schr	9
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	9
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	9
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	9

Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	9
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	9
Isometries of the hypercube: A tool for Boolean regulatory networks analysis	9
PAC-learning gains of Turing machines over circuits and neural networks	9
Transport in reservoir computing	9
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	8
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	8
Thermal lifetime of breathers	8
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	8
General breather and rogue wave solutions to the complex short pulse equation	8
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	8
Editorial Board	8
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	8
Editorial Board	8
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	8
A novel antimonotic hyperjerk system: Analysis, synchronization and circuit design	8
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	8
Projective embedding of dynamical systems: Uniform mean field equations	8
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	8
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	8
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	8
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	8
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	8
On the integrability of the vocal fold model	8
Two dimensional singularity turbulence	8
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	8
Power spectrum of the circular unitary ensemble	8
Background flow hidden in a bound for Nusselt number	8
Biological aggregations from spatial memory and nonlocal advection	8
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	8
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	8
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	8
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	8
Weak solutions for stochastic differential equations with additive fractional noise	8
Quantifying random collisions between particles inside and outside a circle	8
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	8
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	8
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	8
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	8
Emergent behaviors of relativistic flocks on Riemannian manifolds	8
Editorial Board	8
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	7
Solutions of an extended Duffing–van der Pol equation with variable coefficients	7
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	7
Dynamics of cubic–quintic nonlinear PT-symmetr	7
A theoretical model for a vane with stochastic rotation	7
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	7
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	7
Taming vibrational resonance by transient high frequency	7
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	7
Mathematical formulation of a dynamical system with dry friction subjected to external forces	7
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
Entropic extensivity and large deviations in the presence of strong correlations	7
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	7
Editorial Board	7
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition	7
Dispersive shock waves in lattices: A dimension reduction approach	7
Existence of dark solitons for Kundu–Eckhaus equations	7
Deterministic inhomogeneous ratchet in a periodic potential	7
On Lax equations of the two-component BKP hierarchy	7
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	7
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	7
Supercritical Hopf bifurcation in baleen whale populations	7
Nonlinear science against the COVID-19 pandemic	7
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	7
Dynamics of McMillan mappings I. McMillan multipoles	7
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	7
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	7
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	7
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	7
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	7
Transverse bifurcation of viscous slow MHD shocks	7
Approximate solutions for the Vlasov–Poisson system with boundary layers	7
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	7
Editorial Board	7
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	7
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	7
Post-blowup dynamics for the nonlinear Schrödinger equation	6
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows	6
Giant vortex in a harmonically-trapped rotating dipolar 164Dy condensate	6
Numerical simulation methods and analysis for the dynamics of the time-fractional KdV equation	6
Complex dynamical behaviors of a honeybee-mite model in parameter plane	6
Effects of head loss, surface tension, viscosity and density ratio on the Kelvin–Helmholtz instability in different types of pipelines	6
Editorial Board	6
Cubic algebras, induced representations and general solution of the exceptional Laguerre equation	6
Approximation of (some) random FPUT lattices by KdV equations	6
Periodic orbits in a Hamiltonian system of stellar type	6
Analytical properties of Stoyanov step bunches: Solutions, scaling, stationary profiles	6
Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system	6
A simple but complex enough θ-SIR type model to be used with COVID-1	6