Physica D-Nonlinear Phenomena

Article	Citations
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	91
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	74
Rare decaying ripple solutions within the KP equation	68
On the Sun-shadow dynamics	64
On the dynamics of predator–prey models with role reversal	57
Editorial Board	53
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	51
Latitudinal storm track shift in a reduced two-level model of the atmosphere	45
Editorial Board	42
On the impact of short laser pulses on cold diluted plasmas	41
Separation of the two-dimensional steady MHD boundary layer	40
Time-fractional Allen–Cahn equations versus powers of the mean curvature	39
Motifs, coherent configurations and second order network generation	39
Machine learning-based estimation of correlation dimension from short chaotic time series	37
Differential–geometric method of integrating the two-dimensional Heisenberg model	37
Group-convolutional extended dynamic mode decomposition	36
Dynamics of a diffusive two-predator-one-prey model in advective heterogeneous environments	35
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	34
The numerical search for the internal dynamics of NHIMs and their pictorial representation	34
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	33
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	32
Editorial Board	31
A detached-eddy simulation methodology for interfacial mixing flows	30
Flow-induced variations in odour boundary formation	30
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	27
Spontaneous modulational instability of elliptic periodic waves: The soliton condensate model	27
Interactions of fractional N-solitons with anomalous dispersions for	27
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	25
Families of Q-balls in a deformed O(	25
On the structural sensitivity of some diffusion–reaction models of population dynamics	25
On the propagation of regularity of solutions to the KdV equation on the positive half-line	25
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	25
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	25
Hierarchical Partitioning Forecaster	24
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	24
Arbitrary sensitive transitions in recurrent neural networks	24
Non-linearity and chaos in the kicked top	24
Pattern formation and front stability for a moving-boundary model of biological invasion and recession	23
Asymmetric dual cascade in gravitational wave turbulence	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	21
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	21
Editorial Board	20
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	20
Subharmonic Melnikov functions and nonintegrability for autonomous and non-autonomous perturbations of single-degree-of-freedom Hamiltonian systems near periodic orbits	20
Reservoir computing with error correction: Long-term behaviors of stochastic dynamical systems	20
Perturbing masses: A study of centered co-circular central configurations in power-law n-body problems	20
Spectral analysis and hydrodynamic manifolds for the linearized Shakhov model	20
Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions	20
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	19
Order and chaos in systems of two and three coaxial vortex pairs	19
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows	19
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	19
Classifications of bosonic supersymmetric third and fifth order systems	19
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	19
Progress, gaps and obstacles in the classification of cellular automata	18
Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system	18
A study of the reconnection of antiparallel vortices in the infinitely thin case and in the finite thickness case	18
An analytical and computational study of the incompressible Toner–Tu Equations	18
Deep reinforcement learning in finite-horizon to explore the most probable transition pathway	18
A fourth order accurate numerical method for non-linear time fractional reaction–diffusion equation on a bounded domain	18
Applications of Grassmannian flows to coagulation equations	18
Collective behavior of self-propelled particles with heading estimation via focal observation	17
Editorial Board	17
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	17
A novel three-dimensional chaotic system with spiral chaos and adjustable number of wings: application in weak underwater acoustic signal detection	17
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	17
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	17
NINNs: Nudging induced neural networks	16
On the Whitham modulation equations for the Toda lattice and the quantitative characterization of its dispersive shocks	16
Small Alfvén number limit for the global-in-time solutions of incompressible MHD equations with general initial data	16
Pulse solutions in Gierer–Meinhardt equation with slowly degenerate nonlinearity	16
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	16

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

Computational approximations of compact metric spaces	10
The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow	10
	10
Unexpected linearly stable orbits in 3-dimensional billiards	10
Editorial Board	10
One-shot learning of stochastic differential equations with data adapted kernels	10
Non-uniqueness of forced active scalar equations with even drift operators	10
Synchronization, symmetry and rotating periodic solutions in oscillators with Huygens’ coupling	10
p-adic cellular neural networks: Applications to image processing	10
Phase-space quantum distorted stability pattern for Aubry–André–Harper dynamics	10
Three-to-one internal resonances between acoustic and optical waves in metamaterials with nonlinear resonators	10
Consensus and bipartite consensus in graphon models for opinion dynamics on the sphere	10
Cluster distributions for dynamically defined point processes	10
Transport in reservoir computing	10
Numerical investigation of shock Mach number effects on Richtmyer–Meshkov instability in a heavy square bubble	10
Editorial Board	10
Interaction of hydrodynamic turbulence with stratified flows and internal waves: The role of turbulent diffusion and density fluctuations	10
The long-time asymptotics of the derivative nonlinear Schr	10
Riemann–Hilbert approach and long-time asymptotics of the positive flow short-pulse equation	10
Unveiling connections: Mobility and dengue case networks on an intraurban scale	10
Projective embedding of dynamical systems: Uniform mean field equations	9
On the integrability of the vocal fold model	9
Power spectrum of the circular unitary ensemble	9
Homogeneous and heterogeneous nucleation in the three-state Blume–Capel model	9
Approximate solutions for the Vlasov–Poisson system with boundary layers	9
Understanding the nonlinear behavior of Rayleigh–Taylor instability with a vertical electric field for perfect dielectric fluids	9
Bifurcations and crossing limit cycles of a Filippov system arising from a DC–DC boost converter	9
Role of structural properties in reliable prediction of CGLE via data assimilation	9
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map	9
Nonlinear effects in steady radiating waves: An exponential asymptotics approach	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
Weak solutions for stochastic differential equations with additive fractional noise	9
Two dimensional singularity turbulence	9
Frequency-domain computation of Lyapunov-Perron transformation with detection of quasi-periodic solution bifurcation	9
Inclusion of higher-order terms in the border-collision normal form: Persistence of chaos and applications to power converters	9
Rogue waves in a reverse space nonlocal nonlinear Schrödinger equation	9
Dissipative pulses stabilized by nonlinear gradient terms: A review of their dynamics and their interaction	9
Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson’s disease	9
Editorial Board	9
Quantifying random collisions between particles inside and outside a circle	9
Background flow hidden in a bound for Nusselt number	9
Taming vibrational resonance by transient high frequency	9
Burchnall–Chaundy polynomials for matrix ODOs and Picard–Vessiot Theory	9
Quasi-periodic solutions for the nonlinear quantum harmonic oscillator	9
A causation-based computationally efficient strategy for deploying Lagrangian drifters to improve real-time state estimation	9
General fractional classical mechanics: Action principle, Euler–Lagrange equations and Noether theorem	9
A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models	9
Editorial Board	9
Bulk and surface dominated phenomena and the formation of pentagonal structures in 2-D strongly coupled finite dust clusters	8
Expectation-maximizing network reconstruction and most applicable network types based on binary time series data	8
Shear-imposed falling film on a vertical moving plate with disrupted time-reversal	8
Whitham modulation theory and Riemann problem for the Kundu–Eckhaus equation	8
On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons	8
Thermal lifetime of breathers	8
Bridging Algorithmic Information Theory and Machine Learning: A new approach to kernel learning	8
Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system	8
Editorial Board	8
Physics-informed spectral approximation of Koopman operators	8
On sufficient frameworks for the exponential thermo-mechanical flocking in inertial spin ensembles	8
Numerical inverse scattering transform for the focusing and defocusing Kundu–Eckhaus equations	8
Evolution of shielding cloud under oscillatory external forcing in strongly coupled ultracold neutral plasma	8
Gaussian Processes simplify differential equations	8
On Lax equations of the two-component BKP hierarchy	8
Quasi-fluxon bubble dynamics in a rapid oscillatory microwave field	8
A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations	8
General breather and rogue wave solutions to the complex short pulse equation	8
Bifurcations and Marotto’s chaos of a discrete Lotka–Volterra predator–prey model	8
Active Scalar mixing by homogeneous isotropic turbulence	8
On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem	8
Mixing and transport of CO2 across a monolayer-covered surface in an open cylinder driven by a rotating knife edge	8
Strange attractors in a dynamical system inspired by a seasonally forced SIR model	8
The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy	8
Orbital stability and strong instability of solitary waves for the Kadomtsev–Petviashvili equation with combined power nonlinearities	8
Biological aggregations from spatial memory and nonlocal advection	8
On asymptotic stability of multi-solitons for the focusing modified Korteweg–de Vries equation	7
Inverse problems of inhomogeneous fracture toughness using phase-field models	7
Polynomial sequences related to point vortex equilibria with three strengths	7
Analytical properties of Stoyanov step bunches: Solutions, scaling, stationary profiles	7
Modeling late-time sensitivity to initial conditions in Boussinesq Rayleigh–Taylor turbulence	7
Asymptotic integrability and its consequences	7
Approximation of (some) random FPUT lattices by KdV equations	7
The non linear dynamics of retinal waves	7
Bringing Order to Disorder: A method for stabilising a chaotic system around an arbitrary unstable periodic orbit	7
Dispersive shock waves in lattices: A dimension reduction approach	7
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	7
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	7
Deterministic inhomogeneous ratchet in a periodic potential	7
Editorial Board	7
Editorial Board	7
Logic with nonlinear maps	7
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	7
On the application of visibility graphs in the spectral domain for speaker recognition	7
Electrical impedance tomography revisited	7
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	7