Physica D-Nonlinear Phenomena

Article	Citations
Editorial Board	262
Editorial Board	84
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	66
Separation of the two-dimensional steady MHD boundary layer	63
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	57
On the Sun-shadow dynamics	53
Motifs, coherent configurations and second order network generation	53
On the structural sensitivity of some diffusion–reaction models of population dynamics	50
On the impact of short laser pulses on cold diluted plasmas	48
Editorial Board	47
The role of bilinguals in the Bayesian naming game	46
Interactions of fractional N-solitons with anomalous dispersions for	46
Families of Q-balls in a deformed O(	45
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	44
Latitudinal storm track shift in a reduced two-level model of the atmosphere	44
Bayesian learning of stochastic dynamical models	38
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	38
Time-fractional Allen–Cahn equations versus powers of the mean curvature	37
Rare decaying ripple solutions within the KP equation	37
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	33
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	33
The numerical search for the internal dynamics of NHIMs and their pictorial representation	33
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	32
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	32
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	32

On the dynamics of predator–prey models with role reversal	31
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	30
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	29
Editorial Board	29
Arbitrary sensitive transitions in recurrent neural networks	28
A general view on double limits in differential equations	27
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	27
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	27
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	27
An analytical and computational study of the incompressible Toner–Tu Equations	27
Non-linearity and chaos in the kicked top	26
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	25
Asymmetric dual cascade in gravitational wave turbulence	25
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	25
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	24
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	24
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	23
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	23
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	23
Hierarchical Partitioning Forecaster	23
Progress, gaps and obstacles in the classification of cellular automata	22
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	21
To blow-up or not to blow-up for a granular kinetic equation	21
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	21
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	20
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	20
Collective behavior of self-propelled particles with heading estimation via focal observation	20
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	20
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	20
Applications of Grassmannian flows to coagulation equations	19
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	19
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	19
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	19
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	19
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	18
Editorial Board	18
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	18
Editorial Board	18
Classifications of bosonic supersymmetric third and fifth order systems	18
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	18
On evolving network models and their influence on opinion formation	18
Trends in COVID-19 prevalence and mortality: A year in review	17
Bifurcation analysis of a discrete Nicholson’s blowflies model	17
Boundedness of bouncing balls in quadratic potentials	16
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	16
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	16
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	16
Rayleigh–Taylor instability between unequally stratified layers	16
Thermally activated transitions between micromagnetic states	16
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	16

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

A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	10
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	9
Editorial Board	9
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	9
A novel antimonotic hyperjerk system: Analysis, synchronization and circuit design	9
Speed of traveling waves for monotone reaction–diffusion systems as a function of diffusion coefficients	9
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	9
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	9
Taming vibrational resonance by transient high frequency	9
Detecting causality in the frequency domain with Cross-Mapping Coherence	9
Lp	9
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	9
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	9
Weak solutions for stochastic differential equations with additive fractional noise	9
Editorial Board	9
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	9
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	9
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	9
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	9
Projective embedding of dynamical systems: Uniform mean field equations	9
Biological aggregations from spatial memory and nonlocal advection	9
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	9
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	9
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	9
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
On Lax equations of the two-component BKP hierarchy	9
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	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
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	9
Power spectrum of the circular unitary ensemble	9
Background flow hidden in a bound for Nusselt number	9
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	9
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	8
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	8
Two dimensional singularity turbulence	8
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	8
Quantifying random collisions between particles inside and outside a circle	8
Approximate solutions for the Vlasov–Poisson system with boundary layers	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	8
Existence of dark solitons for Kundu–Eckhaus equations	8
A theoretical model for a vane with stochastic rotation	8
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	8
General breather and rogue wave solutions to the complex short pulse equation	8
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	8
Editorial Board	8
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	8
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	8
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	8
Entropic extensivity and large deviations in the presence of strong correlations	8
Deterministic inhomogeneous ratchet in a periodic potential	8
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	8
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	8
Thermal lifetime of breathers	8
On the integrability of the vocal fold model	8
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	8
Editorial Board	8
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	8
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	8
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	8
On the behavior of multidimensional radially symmetric solutions of the repulsive Euler–Poisson equations	7
Bringing Order to Disorder: A method for stabilising a chaotic system around an arbitrary unstable periodic orbit	7
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	7
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	7
Dynamics of McMillan mappings I. McMillan multipoles	7
A stochastic approximation for the finite-size Kuramoto–Sakaguchi model	7
Inverse scattering transform for the focusing PT-symmetric nonlinear Schrödinger equation with nonzero boundary conditions: Higher-order poles and multi-soliton solutions	7
Approximation of (some) random FPUT lattices by KdV equations	7
Rigorous uniaxial limit of the Qian–Sheng inertial Q-tensor hydrodynamics for liquid crystals	7
General rogue wave solution to the discrete nonlinear Schrödinger equation	7
Classifying 1D elementary cellular automata with the 0–1 test for chaos	7
Giant vortex in a harmonically-trapped rotating dipolar 164Dy condensate	7
A frequency-domain differential corrector for quasi-periodic trajectory design and analysis	7
Solutions of an extended Duffing–van der Pol equation with variable coefficients	7
Supercritical Hopf bifurcation in baleen whale populations	7
Bifurcations phenomena and route to chaos via the cosymmetry breaking in the Darcy convection problem	7
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D	7
Logic with nonlinear maps	7
The non linear dynamics of retinal waves	7
Detecting stochastic governing laws with observation on stationary distributions	7
On the constructivity of the variational approach to Arnold’s Diffusion	7
Cubic algebras, induced representations and general solution of the exceptional Laguerre equation	7
Dynamics of cubic–quintic nonlinear PT-symmetr	7
Dispersive shock waves in lattices: A dimension reduction approach	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	7
Inverse problems of inhomogeneous fracture toughness using phase-field models	7
Uncertainty quantification analysis of bifurcations of the Allen–Cahn equation with random coefficients	7
Editorial Board	7
Discrete models of complex systems: Recent trends and analytical challenges	7
Existence of traveling wave solutions in continuous optimal velocity models	7