Physica D-Nonlinear Phenomena

Article	Citations
Time-fractional Allen–Cahn equations versus powers of the mean curvature	79
Differential–geometric method of integrating the two-dimensional Heisenberg model	74
Group-convolutional extended dynamic mode decomposition	72
Dynamics of a diffusive two-predator-one-prey model in advective heterogeneous environments	57
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	50
Editorial Board	46
Editorial Board	46
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	46
Separation of the two-dimensional steady MHD boundary layer	43
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	42
Editorial Board	40
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	40
Families of Q-balls in a deformed O(	39
On the impact of short laser pulses on cold diluted plasmas	37
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	36
Hamiltonian Monte Carlo with asymmetrical momentum distributions	36
On the propagation of regularity of solutions to the KdV equation on the positive half-line	33
Machine learning-based estimation of correlation dimension from short chaotic time series	32
Rare decaying ripple solutions within the KP equation	31
Latitudinal storm track shift in a reduced two-level model of the atmosphere	30
The evasion of tipping: Pattern formation near a Turing-fold bifurcation	30
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	30
Spontaneous modulational instability of elliptic periodic waves: The soliton condensate model	27
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	27
Nonlinear energy-preserving model reduction with lifting transformations that quadratize the energy	27

The numerical search for the internal dynamics of NHIMs and their pictorial representation	27
A detached-eddy simulation methodology for interfacial mixing flows	26
Flow-induced variations in odour boundary formation	26
Traveling vegetation–herbivore waves may sustain ecosystems threatened by droughts and population growth	26
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	25
On the dynamics of predator–prey models with role reversal	25
Dynamics of a massive particle in Bunimovich stadium billiards: an elastic model approach	25
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations	25
Interactions of fractional N-solitons with anomalous dispersions for	25
On the structural sensitivity of some diffusion–reaction models of population dynamics	25
Hierarchical Partitioning Forecaster	24
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	24
Arbitrary sensitive transitions in recurrent neural networks	23
A novel three-dimensional chaotic system with spiral chaos and adjustable number of wings: application in weak underwater acoustic signal detection	22
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	22
Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	22
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	21
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	21
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	21
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	20
To blow-up or not to blow-up for a granular kinetic equation	20
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	20
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	20
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	20
Classifications of bosonic supersymmetric third and fifth order systems	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
Editorial Board	19
Order and chaos in systems of two and three coaxial vortex pairs	19
Editorial Board	19
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	19
An analytical and computational study of the incompressible Toner–Tu Equations	19
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case	19
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	18
Non-linearity and chaos in the kicked top	18
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	18
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	18
Applications of Grassmannian flows to coagulation equations	18
Collective behavior of self-propelled particles with heading estimation via focal observation	18
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	18
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	18
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	17
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	17
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	17
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	17
Asymmetric dual cascade in gravitational wave turbulence	17
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	17
The Jacobian conjecture and integrability of associated partial differential equations	16
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	16
Bifurcation analysis of a discrete Nicholson’s blowflies model	16

On the integrable six-wave interaction system and its space–time shifted reduction	16
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	16
NINNs: Nudging induced neural networks	16
Small Alfvén number limit for the global-in-time solutions of incompressible MHD equations with general initial data	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
Editorial Board	15
Noise-induced and border-collision-induced bubbling	15
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	15
Nonlinear Kelvin wakes and exponential asymptotics	15
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	15
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	15
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	15
The heterogeneous helicoseir	15
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	15
Defects and frustration in the packing of soft balls	15
Editorial Board	15
Improved buoyancy-drag model based on mean density profile and mass conservation principle	14
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	14
Thermally activated transitions between micromagnetic states	14
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	14
Long time bounds for coupled KdV equations	14
On the collision dynamics in a molecular model	14
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	14
Editorial Board	14
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	14
Targeted influence maximization in complex networks	14
Boundedness of bouncing balls in quadratic potentials	14
Periodic orbits and integrability of Rocard’s system	14
Nonlinear structures in laboratory and space dusty plasmas	14
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	13
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	13
Entanglement properties of photon–magnon crystal from nonlinear perspective	13
Analytic invariant manifolds for Frenkel-Kontorova model with long-range interactions	13
Optimal control of oscillatory neuronal models with applications to communication through coherence	13
Focusing fractional modified Korteweg–de Vries equation: Riemann–Hilbert method and double-pole solutions	13
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	13
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	13
On evolving network models and their influence on opinion formation	13
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	13
On a generalized nonlocal shallow-water equation	13
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	13
Probability distribution in the Toda system: The singular route to a steady state	13
On spectral scaling laws for averaged turbulence on the sphere	13
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	13
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	13
Cut-offs in a degenerate advection–reaction–diffusion equation — a case study	13
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	13
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds	13
Editorial Board	12
A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions	12
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	12
Traveling wave profiles for a semi-discrete Burgers equation	12
The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	12
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	12
On behavior analysis of solutions for the coupled higher-order WKI equation	12
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	12
Learning governing equations of unobserved states in dynamical systems	12
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	12
State–Hamiltonian Neural Networks for learning dynamical systems	12
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	12
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	12
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	12
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	12
A family of μ	12
Weakly nonlinear analysis of minimal models for Turing patterns	12
Non-uniqueness of forced active scalar equations with even drift operators	12
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	12
Dispersion of tracer particles by wave turbulence	12
One-shot learning of stochastic differential equations with data adapted kernels	12
Normal forms of double Hopf oscillators with radial nonlinearities	12
Editorial Board	11
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	11
Algebro-geometric integration to the discrete Chen–Lee–Liu system	11
PAC-learning gains of Turing machines over circuits and neural networks	11
	11
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	11
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	11
Computational approximations of compact metric spaces	11
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	11

Transport in reservoir computing	11
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	11
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	11
Shear-enhanced diffusion in oblique shock-jet interaction	11
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	11
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	11
Steady translating hollow vortex pair in weakly compressible flow	11
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	11
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	11
Editorial Board	11
Bigraded modified Toda hierarchy and its extensions	11
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	11
Unexpected linearly stable orbits in 3-dimensional billiards	11
Bifurcations and crossing limit cycles of a Filippov system arising from a DC–DC boost converter	11
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	11
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	11
Unveiling connections: Mobility and dengue case networks on an intraurban scale	11
p-adic cellular neural networks: Applications to image processing	10
Role of structural properties in reliable prediction of CGLE via data assimilation	10
Cluster distributions for dynamically defined point processes	10
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	10
The Entropy Economy and the Kolmogorov Learning Cycle: Leveraging the intersection of Machine Learning and Algorithmic Information Theory to jointly optimize energy and learning	10
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	10
Assessment of averaged 1D models for column adsorption with 3D computational experiments	10
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	10
Detecting causality in the frequency domain with Cross-Mapping Coherence	10
Stability analysis of thermal convection in a bidispersive porous media: The effect of depth dependent viscosity and permeability	10
The long-time asymptotics of the derivative nonlinear Schr	10
Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators	10
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	10
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	10
Quasi-periodic solutions for the nonlinear quantum harmonic oscillator	10
Approximate solutions for the Vlasov–Poisson system with boundary layers	10
Two dimensional singularity turbulence	10
Quantifying random collisions between particles inside and outside a circle	10
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	10
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	10
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	10
Entanglement transformation after 2-localization in ring quantum networks	10
On the multi-component Fokas–Lenells system: KP reductions and various soliton solutions	10
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	10
Biological aggregations from spatial memory and nonlocal advection	10
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	10
Editorial Board	10
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	9
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	9
On the integrability of the vocal fold model	9
Weak solutions for stochastic differential equations with additive fractional noise	9
Editorial Board	9
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	9
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	9
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	9
Nonlinear stability of shock-fronted travelling waves in reaction-nonlinear diffusion equations	9
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	9
On Lax equations of the two-component BKP hierarchy	9
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	9
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	9
Background flow hidden in a bound for Nusselt number	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Editorial Board	9
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	9
Soft and hard appearance of torus and codimension two bifurcations in three-dimensional autonomous quasi-periodic oscillator	8
Physics-informed spectral approximation of Koopman operators	8
Solutions of an extended Duffing–van der Pol equation with variable coefficients	8
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	8
Spontaneous symmetry-breaking in the nonlinear Schrödinger equation on star graphs with inhomogeneities	8
A kneading diagram of chaotic switching oscillations in a Kerr cavity with two interacting light fields	8
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	8
Thermal lifetime of breathers	8
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	8
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
Projective embedding of dynamical systems: Uniform mean field equations	8
Dynamics of cubic–quintic nonlinear PT-symmetr	8
General breather and rogue wave solutions to the complex short pulse equation	8
Dynamics of McMillan mappings I. McMillan multipoles	8
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	8
New pathways to stability and instability in non-premixed Rayleigh-Taylor flames	8
Gaussian Processes simplify differential equations	8
Essential metrics for Life on graphs	8
Bulk and surface dominated phenomena and the formation of pentagonal structures in 2-D strongly coupled finite dust clusters	8
Taming vibrational resonance by transient high frequency	8
Inverse problems related to electrical networks and the geometry of non-negative Grassmannians	8
Quasisteady patterns in interfaces: Folding and faceting	8
Editorial Board	8
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlevé IV transition	8
Supercritical Hopf bifurcation in baleen whale populations	8
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential 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
Power spectrum of the circular unitary ensemble	8
Orbital stability and strong instability of solitary waves for the Kadomtsev–Petviashvili equation with combined power nonlinearities	8
Active Scalar mixing by homogeneous isotropic turbulence	8