Physica D-Nonlinear Phenomena

Article	Citations
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	86
Rare decaying ripple solutions within the KP equation	72
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	66
On the Sun-shadow dynamics	59
Editorial Board	56
On the dynamics of predator–prey models with role reversal	56
Families of Q-balls in a deformed O(	55
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	51
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	50
Latitudinal storm track shift in a reduced two-level model of the atmosphere	48
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	47
The numerical search for the internal dynamics of NHIMs and their pictorial representation	44
Editorial Board	40
Separation of the two-dimensional steady MHD boundary layer	39
On the impact of short laser pulses on cold diluted plasmas	39
Bayesian learning of stochastic dynamical models	39
The role of bilinguals in the Bayesian naming game	37
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	36
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	35
Motifs, coherent configurations and second order network generation	34
Time-fractional Allen–Cahn equations versus powers of the mean curvature	34
Differential–geometric method of integrating the two-dimensional Heisenberg model	33
Machine learning-based estimation of correlation dimension from short chaotic time series	33
A detached-eddy simulation methodology for interfacial mixing flows	33
On the structural sensitivity of some diffusion–reaction models of population dynamics	32

The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	31
Editorial Board	31
Group-convolutional extended dynamic mode decomposition	30
Flow-induced variations in odour boundary formation	29
Dynamics of a diffusive two-predator-one-prey model in advective heterogeneous environments	29
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	28
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	28
Interactions of fractional N-solitons with anomalous dispersions for	28
Hierarchical Partitioning Forecaster	27
Arbitrary sensitive transitions in recurrent neural networks	26
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	26
Asymmetric dual cascade in gravitational wave turbulence	25
Non-linearity and chaos in the kicked top	25
Order and chaos in systems of two and three coaxial vortex pairs	24
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case	24
Classifications of bosonic supersymmetric third and fifth order systems	24
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	24
Collective behavior of self-propelled particles with heading estimation via focal observation	23
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	23
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	23
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	23
To blow-up or not to blow-up for a granular kinetic equation	23
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	23
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	23
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	22
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	22
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	22
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	21
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	20
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	19
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	19
Editorial Board	19
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	19
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	19
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	19
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	18
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	18
An analytical and computational study of the incompressible Toner–Tu Equations	18
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	18
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	18
Applications of Grassmannian flows to coagulation equations	18
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	18
A general view on double limits in differential equations	18
Cut-offs in a degenerate advection–reaction–diffusion equation — a case study	17
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	17
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	17
Boundedness of bouncing balls in quadratic potentials	17
Progress, gaps and obstacles in the classification of cellular automata	17
The Jacobian conjecture and integrability of associated partial differential equations	17
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	17

NINNs: Nudging induced neural networks	16
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	16
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	16
Periodic orbits and integrability of Rocard’s system	16
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	16
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	16
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	16
Improved buoyancy-drag model based on mean density profile and mass conservation principle	16
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	16
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
Long time bounds for coupled KdV equations	16
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	16
Thermally activated transitions between micromagnetic states	15
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	15
Noise-induced degeneration in online learning	15
Noise-induced and border-collision-induced bubbling	15
Nonlinear structures in laboratory and space dusty plasmas	15
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	15
On the collision dynamics in a molecular model	15
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	15
Optimal control of oscillatory neuronal models with applications to communication through coherence	15
Editorial Board	15
Nonlinear Kelvin wakes and exponential asymptotics	15
The heterogeneous helicoseir	15
On evolving network models and their influence on opinion formation	15
Defects and frustration in the packing of soft balls	14
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	14
Entanglement properties of photon–magnon crystal from nonlinear perspective	14
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	14
Bifurcation analysis of a discrete Nicholson’s blowflies model	14
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	14
Editorial Board	14
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	14
Bigraded modified Toda hierarchy and its extensions	13
A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions	13
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	13
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	13
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds	13
Weakly nonlinear analysis of minimal models for Turing patterns	13
Algebro-geometric integration to the discrete Chen–Lee–Liu system	13
Probability distribution in the Toda system: The singular route to a steady state	13
Trends in COVID-19 prevalence and mortality: A year in review	13
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	13
A family of μ-Camassa–Holm-type equations with peaked solutions	13
On spectral scaling laws for averaged turbulence on the sphere	13
Targeted influence maximization in complex networks	13
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	13
Learning governing equations of unobserved states in dynamical systems	13
Energy level structure of chaotic motion in bouncing ball system	12
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	12
Normal forms of double Hopf oscillators with radial nonlinearities	12
A local sigma-point unscented Kalman filter for geophysical data assimilation	12
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	12
On behavior analysis of solutions for the coupled higher-order WKI equation	12
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	12
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	12
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	12
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	11
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	11
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	11
Editorial Board	11
Symmetry & critical points for a model shallow neural network	11
Transfer operators from optimal transport plans for coherent set detection	11
Dispersion of tracer particles by wave turbulence	11
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	11
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	11
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	11
One-shot learning of stochastic differential equations with data adapted kernels	11
Transport in reservoir computing	11
The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	11
Editorial Board	11
Non-uniqueness of forced active scalar equations with even drift operators	11
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	11
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	11
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	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
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	11
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	11
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	11
Editorial Board	10

p-adic cellular neural networks: Applications to image processing	10
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	10
Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators	10
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	10
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	10
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	10
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	10
Computational approximations of compact metric spaces	10
Unexpected linearly stable orbits in 3-dimensional billiards	10
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	10
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	10
PAC-learning gains of Turing machines over circuits and neural networks	10
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	10
The long-time asymptotics of the derivative nonlinear Schr	10
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	10
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	10
On the multi-component Fokas–Lenells system: KP reductions and various soliton solutions	10
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	10
Cluster distributions for dynamically defined point processes	10
Steady translating hollow vortex pair in weakly compressible flow	10
Unveiling connections: Mobility and dengue case networks on an intraurban scale	10
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	10
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	10
Lp	10
Emergent behaviors of relativistic flocks on Riemannian manifolds	10
Orbital stability and strong instability of solitary waves for the Kadomtsev–Petviashvili equation with combined power nonlinearities	9
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	9
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	9
Thermal lifetime of breathers	9
Biological aggregations from spatial memory and nonlocal advection	9
Bulk and surface dominated phenomena and the formation of pentagonal structures in 2-D strongly coupled finite dust clusters	9
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	9
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	9
On Lax equations of the two-component BKP hierarchy	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Two dimensional singularity turbulence	9
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	9
Quantifying random collisions between particles inside and outside a circle	9
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	9
Quasi-periodic solutions for the nonlinear quantum harmonic oscillator	9
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	9
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	9
Physics-informed spectral approximation of Koopman operators	9
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	9
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	9
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	9
Editorial Board	9
Approximate solutions for the Vlasov–Poisson system with boundary layers	9
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	9
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	8
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition	8
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	8
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	8
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	8
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	8
Editorial Board	8
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	8
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	8
Weak solutions for stochastic differential equations with additive fractional noise	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
A theoretical model for a vane with stochastic rotation	8
Supercritical Hopf bifurcation in baleen whale populations	8
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	8
Existence of dark solitons for Kundu–Eckhaus equations	8
On the application of visibility graphs in the spectral domain for speaker recognition	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Projective embedding of dynamical systems: Uniform mean field equations	8
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	8
Editorial Board	8
General breather and rogue wave solutions to the complex short pulse equation	8
Background flow hidden in a bound for Nusselt number	8
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	8
Quasisteady patterns in interfaces: Folding and faceting	8
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	8
Dynamics of McMillan mappings I. McMillan multipoles	8
A kneading diagram of chaotic switching oscillations in a Kerr cavity with two interacting light fields	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
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	8
On the integrability of the vocal fold model	8
Power spectrum of the circular unitary ensemble	8
Taming vibrational resonance by transient high frequency	8
New pathways to stability and instability in non-premixed Rayleigh-Taylor flames	8
Perturbation and determinacy of nonsmooth systems	7
Giant vortex in a harmonically-trapped rotating dipolar 164Dy condensate	7
Rigorous uniaxial limit of the Qian–Sheng inertial Q-tensor hydrodynamics for liquid crystals	7
Existence of traveling wave solutions in continuous optimal velocity models	7
Approximation of (some) random FPUT lattices by KdV equations	7
Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system	7
A frequency-domain differential corrector for quasi-periodic trajectory design and analysis	7
Influence network reconstruction from discrete time-series of count data modelled by multidimensional Hawkes processes	7
Editorial Board	7
Polynomial sequences related to point vortex equilibria with three strengths	7