Physica D-Nonlinear Phenomena

Article	Citations
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	88
Rare decaying ripple solutions within the KP equation	74
On the Sun-shadow dynamics	68
On the dynamics of predator–prey models with role reversal	63
Editorial Board	57
Families of Q-balls in a deformed O(	55
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	52
Latitudinal storm track shift in a reduced two-level model of the atmosphere	51
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	50
Editorial Board	45
Bayesian learning of stochastic dynamical models	39
Separation of the two-dimensional steady MHD boundary layer	39
On the impact of short laser pulses on cold diluted plasmas	39
Motifs, coherent configurations and second order network generation	38
The role of bilinguals in the Bayesian naming game	38
A detached-eddy simulation methodology for interfacial mixing flows	36
Time-fractional Allen–Cahn equations versus powers of the mean curvature	35
Differential–geometric method of integrating the two-dimensional Heisenberg model	34
The numerical search for the internal dynamics of NHIMs and their pictorial representation	34
Machine learning-based estimation of correlation dimension from short chaotic time series	34
Group-convolutional extended dynamic mode decomposition	33
Dynamics of a diffusive two-predator-one-prey model in advective heterogeneous environments	31
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	31
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	31
Editorial Board	29

Nonlinear energy-preserving model reduction with lifting transformations that quadratize the energy	29
Traveling vegetation–herbivore waves may sustain ecosystems threatened by droughts and population growth	29
Hamiltonian Monte Carlo with asymmetrical momentum distributions	28
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	27
Spontaneous modulational instability of elliptic periodic waves: The soliton condensate model	27
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	26
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	25
Interactions of fractional N-solitons with anomalous dispersions for	25
Flow-induced variations in odour boundary formation	25
On the propagation of regularity of solutions to the KdV equation on the positive half-line	25
The evasion of tipping: Pattern formation near a Turing-fold bifurcation	24
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	24
On the structural sensitivity of some diffusion–reaction models of population dynamics	24
Hierarchical Partitioning Forecaster	24
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	24
Arbitrary sensitive transitions in recurrent neural networks	24
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	23
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	23
Asymmetric dual cascade in gravitational wave turbulence	23
Non-linearity and chaos in the kicked top	23
Classifications of bosonic supersymmetric third and fifth order systems	22
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	22
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	21
Order and chaos in systems of two and three coaxial vortex pairs	20
Applications of Grassmannian flows to coagulation equations	20
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case	20
To blow-up or not to blow-up for a granular kinetic equation	20
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	19
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	19
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	19
2D Jackiw–Rebbi and trivial localized states in square interfaced binary waveguide lattices	19
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	19
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	19
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	18
A novel three-dimensional chaotic system with spiral chaos and adjustable number of wings: application in weak underwater acoustic signal detection	18
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	18
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	18
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	18
A general view on double limits in differential equations	18
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	18
Editorial Board	18
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	18
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	18
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	18
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	17
Editorial Board	17
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	17
Collective behavior of self-propelled particles with heading estimation via focal observation	17
Progress, gaps and obstacles in the classification of cellular automata	17
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	17

Novel attention-based convolutional autoencoder and ConvLSTM for reduced-order modeling in fluid mechanics with time derivative architecture	16
An analytical and computational study of the incompressible Toner–Tu Equations	16
Sampling error mitigation through spectrum smoothing: First experiments with ensemble transform Kalman filters and Lorenz models	16
Extensions of dark KdV equations: Nonhomogeneous classifications, bosonizations of fermionic systems and supersymmetric dark systems	16
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	16
On the integrable six-wave interaction system and its space–time shifted reduction	16
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning	16
On the basis of the Hamilton–Jacobi–Bellman equation in economic dynamics	16
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	16
The Jacobian conjecture and integrability of associated partial differential equations	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
Bifurcation analysis of a discrete Nicholson’s blowflies model	15
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	15
Investigation of dynamical properties of free water in hydroxypropyl cellulose–water mixture by PFG-NMR	15
The heterogeneous helicoseir	15
On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities	15
Neural network based generation of a 1-dimensional stochastic field with turbulent velocity statistics	15
Nonlinear Kelvin wakes and exponential asymptotics	15
Editorial Board	15
NINNs: Nudging induced neural networks	15
Thermally activated transitions between micromagnetic states	15
Noise-induced degeneration in online learning	15
Defects and frustration in the packing of soft balls	14
Long time bounds for coupled KdV equations	14
Optimal control of oscillatory neuronal models with applications to communication through coherence	14
Editorial Board	14
On maximum enstrophy dissipation in 2D Navier–Stokes flows in the limit of vanishing viscosity	14
Periodic orbits and integrability of Rocard’s system	14
Boundedness of bouncing balls in quadratic potentials	14
Spectral stability of multi-solitons for generalized Hamiltonian system I: The Caudrey–Dodd–Gibbon–Sawada–Kotera equation	14
Power-law localization in one-dimensional systems with nonlinear disorder under fixed input conditions	14
Nonlinear structures in laboratory and space dusty plasmas	14
Improved buoyancy-drag model based on mean density profile and mass conservation principle	14
On the Kadomtsev–Petviashvili equation with double-power nonlinearities	13
On evolving network models and their influence on opinion formation	13
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem	13
Generalised synchronisations, embeddings, and approximations for continuous time reservoir computers	13
Inverse scattering transform for the defocusing–defocusing coupled Hirota equations with non-zero boundary conditions: Multiple double-pole solutions	13
On a generalized nonlocal shallow-water equation	13
Entanglement properties of photon–magnon crystal from nonlinear perspective	13
Noise-induced and border-collision-induced bubbling	13
Soliton interaction and nonlinear localized waves in one-dimensional nonlinear acoustic metamaterials	13
Targeted influence maximization in complex networks	13
Fourier neural operator based fluid–structure interaction for predicting the vesicle dynamics	13
On vortex and dark solitons in the cubic–quintic nonlinear Schrödinger equation	13
An energy-stable variable-step L1 scheme for time-fractional Navier–Stokes equations	13
Cut-offs in a degenerate advection–reaction–diffusion equation — a case study	13
Bigraded modified Toda hierarchy and its extensions	12
Model reduction of nonlinear time-delay systems via ODE approximation and spectral submanifolds	12
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	12
Blending machine learning and sequential data assimilation over latent spaces for surrogate modeling of Boussinesq systems	12
Probability distribution in the Toda system: The singular route to a steady state	12
Weakly nonlinear analysis of minimal models for Turing patterns	12
Symmetry & critical points for a model shallow neural network	12
Learning governing equations of unobserved states in dynamical systems	12
On the collision dynamics in a molecular model	12
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton–Boussinesq equations with delays	12
A potential two-scale traveling wave singularity for 3D incompressible Euler equations	11
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum	11
Well-posedness and limit behavior of stochastic fractional Boussinesq equation driven by nonlinear noise	11
Energy level structure of chaotic motion in bouncing ball system	11
State–Hamiltonian Neural Networks for learning dynamical systems	11
On spectral scaling laws for averaged turbulence on the sphere	11
Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system	11
Normal forms of double Hopf oscillators with radial nonlinearities	11
Editorial Board	11
A new general coupled (1+1) dimensional long wave short wave resonance interaction system: Derivation, bright solitons, and energy sharing collisions	11
Modern AI versus century-old mathematical models: How far can we go with generative adversarial networks to reproduce stochastic processes?	11
Traveling wave profiles for a semi-discrete Burgers equation	11
Algebro-geometric integration to the discrete Chen–Lee–Liu system	11
Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion	11
On behavior analysis of solutions for the coupled higher-order WKI equation	11
A family of μ	11
Synchronization of scale-free neuronal network with small-world property induced by spike-timing-dependent plasticity under time delay	11
Non-uniqueness of forced active scalar equations with even drift operators	11
Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth’s navigation satellites	11
Dispersion of tracer particles by wave turbulence	11
The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics	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	10
Cluster distributions for dynamically defined point processes	10

The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system	10
Unexpected linearly stable orbits in 3-dimensional billiards	10
The long-time asymptotics of the derivative nonlinear Schr	10
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	10
Unveiling connections: Mobility and dengue case networks on an intraurban scale	10
Editorial Board	10
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	10
Transport in reservoir computing	10
On the representation of multiplicative noise in modeling Dansgaard–Oeschger events	10
Transition from traveling to motionless pulses in semiconductor lasers with saturable absorber	10
One-shot learning of stochastic differential equations with data adapted kernels	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
Editorial Board	10
	10
Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators	10
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	10
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: The case example of the Ablowitz–Ladik model	10
Focusing fractional modified Korteweg–de Vries equation: Riemann–Hilbert method and double-pole solutions	10
Multiscale and anisotropic characterization of images based on complexity: An application to turbulence	10
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	10
Steady translating hollow vortex pair in weakly compressible flow	10
PAC-learning gains of Turing machines over circuits and neural networks	10
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	10
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	9
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	9
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	9
Editorial Board	9
Power spectrum of the circular unitary ensemble	9
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	9
Two dimensional singularity turbulence	9
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	9
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	9
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	9
On the multi-component Fokas–Lenells system: KP reductions and various soliton solutions	9
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	9
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	9
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Weak solutions for stochastic differential equations with additive fractional noise	9
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	9
Bifurcations and crossing limit cycles of a Filippov system arising from a DC–DC boost converter	9
Emergent behaviors of relativistic flocks on Riemannian manifolds	9
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	9
Computational approximations of compact metric spaces	9
Role of structural properties in reliable prediction of CGLE via data assimilation	9
Approximate solutions for the Vlasov–Poisson system with boundary layers	9
Editorial Board	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	9
Quantifying random collisions between particles inside and outside a circle	9
Quasi-periodic solutions for the nonlinear quantum harmonic oscillator	9
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	9
Background flow hidden in a bound for Nusselt number	8
Finding unstable periodic orbits: A hybrid approach with polynomial optimization	8
Bulk and surface dominated phenomena and the formation of pentagonal structures in 2-D strongly coupled finite dust clusters	8
Stability analysis of thermal convection in a bidispersive porous media: The effect of depth dependent viscosity and permeability	8
Soft and hard appearance of torus and codimension two bifurcations in three-dimensional autonomous quasi-periodic oscillator	8
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	8
Gaussian Processes simplify differential equations	8
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	8
Physics-informed spectral approximation of Koopman operators	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	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
Projective embedding of dynamical systems: Uniform mean field equations	8
On Lax equations of the two-component BKP hierarchy	8
Essential metrics for Life on graphs	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
General breather and rogue wave solutions to the complex short pulse equation	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	8
Biological aggregations from spatial memory and nonlocal advection	8
Editorial Board	8
Taming vibrational resonance by transient high frequency	8
Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	8
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	8
Orbital stability and strong instability of solitary waves for the Kadomtsev–Petviashvili equation with combined power nonlinearities	8
On sufficient frameworks for the exponential thermo-mechanical flocking in inertial spin ensembles	8
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	8
Thermal lifetime of breathers	8
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	8
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	8
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	8
Inverse problems of inhomogeneous fracture toughness using phase-field models	7
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	7
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	7
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	7
Dynamics of cubic–quintic nonlinear PT-symmetr	7
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
Existence of dark solitons for Kundu–Eckhaus equations	7
Entropic extensivity and large deviations in the presence of strong correlations	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7