Physica D-Nonlinear Phenomena

Article	Citations
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	95
Editorial Board	79
Editorial Board	67
Separation of the two-dimensional steady MHD boundary layer	56
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	50
Editorial Board	49
Hamiltonian Monte Carlo with asymmetrical momentum distributions	47
Families of Q-balls in a deformed O(	47
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	45
Rare decaying ripple solutions within the KP equation	45
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations	43
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	42
Differential–geometric method of integrating the two-dimensional Heisenberg model	39
Dynamics of a diffusive two-predator-one-prey model in advective heterogeneous environments	37
Latitudinal storm track shift in a reduced two-level model of the atmosphere	35
Traveling vegetation–herbivore waves may sustain ecosystems threatened by droughts and population growth	35
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	34
Flow-induced variations in odour boundary formation	32
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	32
The evasion of tipping: Pattern formation near a Turing-fold bifurcation	32
Nonlinear energy-preserving model reduction with lifting transformations that quadratize the energy	31
The numerical search for the internal dynamics of NHIMs and their pictorial representation	30
On the dynamics of predator–prey models with role reversal	29
On the propagation of regularity of solutions to the KdV equation on the positive half-line	29
A detached-eddy simulation methodology for interfacial mixing flows	28

Group-convolutional extended dynamic mode decomposition	28
On the impact of short laser pulses on cold diluted plasmas	27
Machine learning-based estimation of correlation dimension from short chaotic time series	26
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	26
Time-fractional Allen–Cahn equations versus powers of the mean curvature	25
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	25
Spontaneous modulational instability of elliptic periodic waves: The soliton condensate model	25
On the structural sensitivity of some diffusion–reaction models of population dynamics	25
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	25
Interactions of fractional N-solitons with anomalous dispersions for	24
Hierarchical Partitioning Forecaster	24
Arbitrary sensitive transitions in recurrent neural networks	24
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	22
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	22
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	22
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	22
Collective behavior of self-propelled particles with heading estimation via focal observation	22
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	22
An analytical and computational study of the incompressible Toner–Tu Equations	21
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	21
Editorial Board	21
Classifications of bosonic supersymmetric third and fifth order systems	21
Order and chaos in systems of two and three coaxial vortex pairs	21
A novel three-dimensional chaotic system with spiral chaos and adjustable number of wings: application in weak underwater acoustic signal detection	21
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	21
To blow-up or not to blow-up for a granular kinetic equation	21
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	21
Small Alfvén number limit for the global-in-time solutions of incompressible MHD equations with general initial data	20
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case	20
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	20
Editorial Board	20
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	20
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	20
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	19
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	19
Dynamics and integrability of a modified Sprott C system	19
Non-linearity and chaos in the kicked top	19
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	19
Instability of anchored spirals in geometric flows	19
On the integrable six-wave interaction system and its space–time shifted reduction	19
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	18
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	18
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	18
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	18
Applications of Grassmannian flows to coagulation equations	18
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	18
Asymmetric dual cascade in gravitational wave turbulence	18
The Jacobian conjecture and integrability of associated partial differential equations	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	17
Long time bounds for coupled KdV equations	17

VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	17
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	17
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	17
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	17
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	17
Targeted influence maximization in complex networks	17
NINNs: Nudging induced neural networks	17
Editorial Board	17
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	16
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	16
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	16
Improved buoyancy-drag model based on mean density profile and mass conservation principle	16
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	16
Editorial Board	16
Cut-offs in a degenerate advection–reaction–diffusion equation — a case study	16
Defects and frustration in the packing of soft balls	16
The heterogeneous helicoseir	16
Boundedness of bouncing balls in quadratic potentials	16
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	16
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	15
Editorial Board	15
On the collision dynamics in a molecular model	15
Designing explainable cognitive systems and explaining neural networks with plastic dynamical systems	15
Thermally activated transitions between micromagnetic states	15
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	15
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	15
Optimal control of oscillatory neuronal models with applications to communication through coherence	15
Nonlinear Kelvin wakes and exponential asymptotics	15
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	14
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	14
On a generalized nonlocal shallow-water equation	14
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	14
Nonlinear structures in laboratory and space dusty plasmas	14
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	14
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	14
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	14
On evolving network models and their influence on opinion formation	14
Analytic invariant manifolds for Frenkel-Kontorova model with long-range interactions	14
Focusing fractional modified Korteweg–de Vries equation: Riemann–Hilbert method and double-pole solutions	14
Bifurcation analysis of a discrete Nicholson’s blowflies model	14
Entanglement properties of photon–magnon crystal from nonlinear perspective	14
Periodic orbits and integrability of Rocard’s system	14
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	14
Probability distribution in the Toda system: The singular route to a steady state	14
Normal forms of double Hopf oscillators with radial nonlinearities	13
A family of μ	13
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	13
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	13
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	13
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	13
Dispersion of tracer particles by wave turbulence	13
Learning governing equations of unobserved states in dynamical systems	13
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	13
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	13
One-shot learning of stochastic differential equations with data adapted kernels	13
Editorial Board	13
Traveling wave profiles for a semi-discrete Burgers equation	13
Non-uniqueness of forced active scalar equations with even drift operators	13
A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions	13
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds	13
Shear-enhanced diffusion in oblique shock-jet interaction	12
State–Hamiltonian Neural Networks for learning dynamical systems	12
On behavior analysis of solutions for the coupled higher-order WKI equation	12
Algebro-geometric integration to the discrete Chen–Lee–Liu system	12
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	12
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	12
Editorial Board	12
PAC-learning gains of Turing machines over circuits and neural networks	12
Breathers and rogue waves on the background of periodic traveling waves in the Hirota equation	12
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	12
Bigraded modified Toda hierarchy and its extensions	12
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	12
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	12
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	12
Steady translating hollow vortex pair in weakly compressible flow	12
Editorial Board	12
On spectral scaling laws for averaged turbulence on the sphere	12
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	12
Weakly nonlinear analysis of minimal models for Turing patterns	12
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	12

Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	12
Unveiling connections: Mobility and dengue case networks on an intraurban scale	12
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	12
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	12
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	11
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	11
Stability analysis of thermo-bioconvective flow of a Casson fluid containing gravitactic microorganisms in a porous medium with variable-viscosity effects	11
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	11
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	11
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	11
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	11
Bifurcations and crossing limit cycles of a Filippov system arising from a DC–DC boost converter	11
Role of structural properties in reliable prediction of CGLE via data assimilation	11
The Entropy Economy and the Kolmogorov Learning Cycle: Leveraging the intersection of Machine Learning and Algorithmic Information Theory to jointly optimize energy and learning	11
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Cluster distributions for dynamically defined point processes	11
On the multi-component Fokas–Lenells system: KP reductions and various soliton solutions	11
Entanglement transformation after 2-localization in ring quantum networks	11
p-adic cellular neural networks: Applications to image processing	11
The long-time asymptotics of the derivative nonlinear Schr	11
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	11
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	11
Transport in reservoir computing	11
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	11
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	10
Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators	10
Editorial Board	10
Stability analysis of thermal convection in a bidispersive porous media: The effect of depth dependent viscosity and permeability	10
Editorial Board	10
The decomposition, asymptotic behavior and hyperbolic representation of the multiloop soliton and multibreather solutions to the WKI elastic beam equation	10
Two dimensional singularity turbulence	10
Assessment of averaged 1D models for column adsorption with 3D computational experiments	10
Essential metrics for Life on graphs	10
Approximate solutions for the Vlasov–Poisson system with boundary layers	10
Quantifying random collisions between particles inside and outside a circle	10
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	10
On sufficient frameworks for the exponential thermo-mechanical flocking in inertial spin ensembles	10
Projective embedding of dynamical systems: Uniform mean field equations	10
Detecting causality in the frequency domain with Cross-Mapping Coherence	10
On Lax equations of the two-component BKP hierarchy	10
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	10
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	10
Thermal lifetime of breathers	10
Quantized vortex dynamics in the Ginzburg-Landau equation on the disc domain based on the reduced dynamical law	10
The initial-boundary value problem of Allen-Cahn equation on the half-line	10
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	10
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	9
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	9
Soft and hard appearance of torus and codimension two bifurcations in three-dimensional autonomous quasi-periodic oscillator	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	9
Weak solutions for stochastic differential equations with additive fractional noise	9
Taming vibrational resonance by transient high frequency	9
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Breather interactions in the integrable discrete Manakov system and trigonometric Yang–Baxter maps	9
Power spectrum of the circular unitary ensemble	9
Physics-informed spectral approximation of Koopman operators	9
Active Scalar mixing by homogeneous isotropic turbulence	9
Bulk and surface dominated phenomena and the formation of pentagonal structures in 2-D strongly coupled finite dust clusters	9
Background flow hidden in a bound for Nusselt number	9
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	9
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	9
Orbital stability and strong instability of solitary waves for the Kadomtsev–Petviashvili equation with combined power nonlinearities	9
Inverse problems related to electrical networks and the geometry of non-negative Grassmannians	9
General breather and rogue wave solutions to the complex short pulse equation	9
On the integrability of the vocal fold model	9
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	9
Biological aggregations from spatial memory and nonlocal advection	9
Editorial Board	9
Editorial Board	9
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	9
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	9
Quasi-periodic solutions for the nonlinear quantum harmonic oscillator	9
Dynamics of cubic–quintic nonlinear PT-symmetr	8
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	8
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	8
Deterministic inhomogeneous ratchet in a periodic potential	8
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	8
Quasisteady patterns in interfaces: Folding and faceting	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Asymptotic integrability and its consequences	8
Editorial Board	8
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	8
On the application of visibility graphs in the spectral domain for speaker recognition	8
Electrical impedance tomography revisited	8
Dispersive shock waves in lattices: A dimension reduction approach	8
Solutions of an extended Duffing–van der Pol equation with variable coefficients	8
Dynamics of McMillan mappings I. McMillan multipoles	8
Enhancing physics-informed neural networks with a hybrid parallel Kolmogorov-Arnold and MLP architecture	8
JostONet: A neural operator architecture for solving the Jost solution and scattering coefficients of the Schrödinger spectral problem	8
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	8
Modeling late-time sensitivity to initial conditions in Boussinesq Rayleigh–Taylor turbulence	8
Compound-combination switched projective synchronization of chaotic systems via adaptive neural network fuzzy sliding mode control	8
New pathways to stability and instability in non-premixed Rayleigh-Taylor flames	8