Physica D-Nonlinear Phenomena

Article	Citations
Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall	223
Unsupervised classification of non-linear dynamics in optical fiber propagation using intensity clustering	80
Three-dimensional time-dependent water flows with constant non-vanishing vorticity and depth dependent density	68
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	59
Corrigendum to “An elapsed time model for strongly coupled inhibitory and excitatory neural networks” [Physica D: Nonlinear Phenomena, 2021, vol. 425, p. 132977]	55
Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system	54
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	52
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	50
Adaptive dynamic social networks using an agent-based model to study the role of social awareness in infectious disease spread	49
Almost synchronization phenomena in the two and three coupled Brusselator systems	47
Existence of dark solitons for Kundu–Eckhaus equations	43
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	40
Synchronization of uncertain chaotic systems with minimal parametric information	40
Rogue wave solutions to the coupled Sasa–Satsuma equation	39
Exploring the synergy of media awareness and quarantine classes in	38
Editorial Board	37
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	36
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	36
Pseudo grid-based physics-informed convolutional-recurrent network solving the integrable nonlinear lattice equations	35
The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface	34
Editorial Board	34
Stability and instability of a generic non-conservative compressible two-fluid model in	34
Rocking block stability under periodic and random perturbations	33
A theoretical model for a vane with stochastic rotation	31
Hamiltonian preserving nonlinear optics	31

Enhancing population persistence by a protection zone in a reaction–diffusion model with strong Allee effect	30
An experimental and numerical investigation into the sensitivity of Rayleigh–Bénard convection to heat loss through the sidewalls	28
Editorial Board	26
Impacts of inclusion of time delay in efforts on the dynamics of forestry biomass, concentration of greenhouse gases and elevated temperature	25
Bifurcation analysis of a North Atlantic Ocean box model with two deep-water formation sites	24
The role of bilinguals in the Bayesian naming game	24
Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order	24
Editorial Board	24
Spectral stability of elliptic solutions to the short-pulse equation	24
Editorial Board	24
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	24
Structured heterogeneity of network in evolutionary social dilemmas under assortative linking and learning	23
Jointly equivariant dynamics for interacting particles	23
Editorial Board	23
Dynamics of cubic–quintic nonlinear PT-symmetr	22
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	22
Editorial Board	22
A self-similar solution for unsteady isothermal and adiabatic flows behind the shock wave in a dusty non-ideal rotating medium under the action of magnetic field	21
Data-driven method to learn the most probable transition pathway and stochastic differential equation	21
Density of states for a low-energy point vortex gas on the sphere	20
Editorial Board	20
Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion	20
Leader-following quasi-consensus of heterogeneous multiagent systems with switched cooperative–competitive interactions	20
Dynamics of complex bodies with memory and vector-valued microstructure: Existence and uniqueness	20
Measurements-based constrained control optimization in presence of uncertainties with application to the driver commands for high-speed trains	20
Blow-up and scattering for the 1D NLS with point nonlinearity above the mass–energy threshold	19
Editorial Board	19
Incompressible energy spectrum from wave turbulence	18
Occurrence of Vibrational resonance in an oscillator with an asymmetric Toda potential	18
Local and nonlocal solitons in a coupled real system of Landau–Lifshitz equations	18
Kubo combinatorics for turbulence scaling laws	18
Deterministic inhomogeneous ratchet in a periodic potential	18
Entropic extensivity and large deviations in the presence of strong correlations	17
The numerical search for the internal dynamics of NHIMs and their pictorial representation	17
On the Sun-shadow dynamics	17
Traveling pulses in a coupled FitzHugh–Nagumo equation	17
The structure of algebraic solitons and compactons in the generalized Korteweg–de Vries equation	16
Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields	16
Dynamic coupling in small-world outer synchronization of chaotic networks	16
Bayesian learning of stochastic dynamical models	16
Convolution kernel determination problem for the time-fractional diffusion equation	16
Editorial Board	15
On periodically modulated rolls in the generalized Swift–Hohenberg equation: Galerkin’ approximations	15
Impact of rectangular, half-elliptical, trapezoidal, and triangular tabs on the mixing behavior of circular sonic jets	15
Deep learning of conjugate mappings	15
Families of Q-balls in a deformed O(	15
Motifs, coherent configurations and second order network generation	14
Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression	14
Subharmonic dynamics of wave trains in reaction–diffusion systems	14
Non-parametric probabilistic load flow using Gaussian process learning	14

Two-dimensional incompressible micropolar fluid models with singular initial data	14
Ramp approximations of sigmoid control functions in gene networks	14
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary	14
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps	14
Mathematical formulation of a dynamical system with dry friction subjected to external forces	14
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	13
Stumpons are non-conservative traveling waves of the Camassa–Holm equation	13
Tri-Hamiltonian structure of the Ablowitz–Ladik hierarchy	13
Stability conditions for refractive partially integrable piecewise smooth vector fields	13
Modeling kink dynamics in the sine–Gordon model with position dependent dispersive term	13
Lagrangian descriptors and the action integral of classical mechanics	13
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	13
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	13
Semi-rational vector rogon–soliton solutions and asymptotic analysis for anyn	13
Dispersive shock waves in lattices: A dimension reduction approach	13
Adaptive Hagen–Poiseuille flows on graphs	12
Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions	12
Bogolyubov’s averaging theorem applied to the Kramers–Henneberger Hamiltonian	12
Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations	12
Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models	12
l2	12
On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on	12
Bounds on heat transfer by incompressible flows between balanced sources and sinks	12
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	12
COVID-19 vaccine incentive scheduling using an optimally controlled reinforcement learning model	12
A dynamical systems approach for most probable escape paths over periodic boundaries	11
Latitudinal storm track shift in a reduced two-level model of the atmosphere	11
Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati–Konno–Ichikawa-II equation	11
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	11
A Riemann–Hilbert method to algebro-geometric solutions of the Korteweg–de Vries equation	11
Stable defect states in the continuous spectrum of bilayer graphene with magnetic field	11
Stability of linear Boolean networks	11
On the impact of short laser pulses on cold diluted plasmas	11
Restrictions in a distributed complex fractional order linear constitutive equations of viscoelasticity	11
Nonintegrability of the SEIR epidemic model	11
On pressureless Euler equation with external force	10
A principle of maximum entropy for the Navier–Stokes equations	10
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	10
Supercritical Hopf bifurcation in baleen whale populations	10
Minimal model for reservoir computing	10
On the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data	10
Generalized Fokker–Planck equation for superstatistical systems	10
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	10
Numerical analysis of a 1/2-equation model of turbulence	10
Sufficient and necessary conditions for self-similar motions of three point vortices in generalized fluid systems	10
Mechanisms of stationary converted waves and their complexes in the multi-component AB system	10
Estimate exponential memory decay in hidden Markov model and its applications to inference	10
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows	10
Energy distributions of Frenkel–Kontorova-type atomic chains: Transition from conservative to dissipative dynamics	10
Rayleigh–Taylor instability in an arbitrary direction electrostatic field	10
On bifurcation of non-isolated singular points arising in a problem of two-phase fluid motion in a pipe	10
Convergence rates and central limit theorem for 3-D stochastic fractional Boussinesq equations with transport noise	10
Long-timescale soliton dynamics in the Korteweg–de Vries equation with multiplicative translation-invariant noise	9
Impacts of diapause eggs on mosquito population suppression based on incompatible or sterile insect technique	9
The radial hedgehog solution in the Landau–de Gennes theory: Effects of the bulk potentials	9
On the dynamics of predator–prey models with role reversal	9
Pattern formation in hyperbolic models with cross-diffusion: Theory and applications	9
Linearized fast time-stepping schemes for time–space fractional Schrödinger equations	9
Rare decaying ripple solutions within the KP equation	9
Why it is sufficient to consider only the case where the seed of linear cellular automata is 1	9
Action–angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov–Ito system	9
Integrable reductions of the multi-component Kaup–Newell equations	9
Triangular Schlesinger systems and superelliptic curves	9
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	9
Approximate boundaries of resonance tongue for planar maps	9
Bifurcation and dynamics of periodic solutions to the Rayleigh–Plesset equation: Theory and numerical simulation	9
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	9
Screwon spectral statistics and dispersion relation in the quantum Rajeev–Ranken model	9
Separation of the two-dimensional steady MHD boundary layer	9
Universal rogue wave patterns associated with the Yablonskii–Vorob’ev polynomial hierarchy	9
Robustness measurement of multiplex networks based on multiplex motifs	9
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	8
Non-intrusive model combination for learning dynamical systems	8
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	8
Learning mean-field equations from particle data using WSINDy	8
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	8
Numerical experiments on stationary, oscillating, and damped spherical galaxy models	8
Jensen-autocorrelation function for weakly stationary processes and applications	8
Reduced Markovian models of dynamical systems	8
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	8

On the structural sensitivity of some diffusion–reaction models of population dynamics	8
Decay of time correlations in point vortex systems	8
Editorial Board	8
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	8
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	8
Lagrangian descriptors with uncertainty	8
Rhombic and hexagonal pattern formation in 2D hyperbolic reaction–transport systems in the context of dryland ecology	8
Learning on predictions: Fusing training and autoregressive inference for long-term spatiotemporal forecasts	8
Time-fractional Allen–Cahn equations versus powers of the mean curvature	8
Global dynamics of a periodically forced SI disease model of Lotka–Volterra type	8
Controlling coexisting attractors of a class of non-autonomous dynamical systems	8
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold	8
Editorial Board	8
Improved detection of chaos with Lagrangian descriptors using differential algebra	7
Full Lyapunov exponents spectrum with Deep Learning from single-variable time series	7
Integrable nonlinear PDEs as evolution equations derived from multi-ion fluid plasma models	7
Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system	7
Breathers, cascading instabilities and Fermi–Pasta–Ulam–Tsingou recurrence of the derivative nonlinear Schrödinger equation: Effects of ‘self-steepening’ nonlinearity	7
Equivalence relations andLp	7
Preface to the special issue: Orthogonal polynomials and integrable systems, Peakons, Toda lattices and Painlevé transcendents	7
Finite difference methods for nonlinear fractional differential equation with ψ	7
Intermittent phase dynamics of non-autonomous oscillators through time-varying phase	7
Inverse scattering transform for the focusing PT-symmetric nonlinear Schrödinger equation with nonzero boundary conditions: Higher-order poles and multi-soliton solutions	7
Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems	7
Inverse scattering transform and the soliton solution of the discrete Ablowitz–Ladik equation	7
Generalized and new solutions of the NRT nonlinear Schrödinger equation	7
Shock selection in reaction–diffusion equations with partially negative diffusivity using nonlinear regularisation	7
Conservation of avian vocal heritage through synthetic song reintroduction	7
Minimal model for investigation of noise-induced bubbling	7
Garden of bifurcating paths in a nonlinear optical system	7
On the constructivity of the variational approach to Arnold’s Diffusion	7
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	7
The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background	7
Cubic algebras, induced representations and general solution of the exceptional Laguerre equation	7
Thermodynamically consistent Cahn–Hilliard–Navier–Stokes equations using the metriplectic dynamics formalism	7
Soliton resolution and asymptotic stability of N-soliton solutions fo	7
A circuit complexity formulation of algorithmic information theory	7
On non-autonomous Hamiltonian dynamics, dual spaces, and kinetic lifts	7
Nonlinear characteristics of various local waves on nonzero backgrounds of a (2+1)-dimensional generalized Kadomtsev–Petviashvili equation with variable coefficients	7
Cauchy matrix scheme and the semi-discrete Toda and sine-Gordon systems	7
Generation of 1D Jackiw–Rebbi states and trivial localized states from simple input beams in interfaced binary waveguide arrays	7
Properties of some dynamical systems for three collapsing inelastic particles	7
Classifying 1D elementary cellular automata with the 0–1 test for chaos	7
Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales	7
Interactions of fractional N-solitons with anomalous dispersions for	7
Synchronization of multi-weighted complex networks with mixed variable delays and uncertainties via impulsive pinning control	7
New frameworks of PFM for thermal fracturing in the linear thermoelasticity solids based on a microforce balance approach	7
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	7
Dynamics of nonlinear waves in a low-pass reaction diffusion electrical network and some exact and implicit Modulated compact solutions	7
Relative dynamics of vortices in confined Bose–Einstein condensates	7
Complex dynamics of a vibration machine caused by a relay feedback control	6
On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves	6
The ghost-box-ball system: A unified perspective on soliton cellular automata, the RSK algorithm and phase shifts	6
An exactly solvable problem of wave fronts and applications to the asymptotic theory	6
Mixed turbulence of breathers and narrowband irregular waves: mKdV framework	6
Detecting stochastic governing laws with observation on stationary distributions	6
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime	6
Hierarchical Partitioning Forecaster	6
The complete solution of the Schrödinger equation with the Rosen–Morse type potential via the Nikiforov–Uvarov method	6
Numerical simulation methods and analysis for the dynamics of the time-fractional KdV equation	6
Central vortex steady states and dynamics of Bose–Einstein condensates interacting with a microwave field	6
Motions of a charged particle in the electromagnetic field induced by a non-stationary current	6
Blow-up of a dyadic model with intermittency dependence for the Hall MHD	6
Resampling with neural networks for stochastic parameterization in multiscale systems	6
Fisher information of the Kuramoto model: A geometric reading on synchronization	6
2DS-L: A dynamical system decomposition of signal approach to learning with application in time series prediction	6
Editorial: Hydrodynamic instability driven flows	6
Directed transport of a particle on a horizontal surface under asymmetric vibrations	6
Fluid flow between two parallel active plates	6
Probabilistic eddy identification with uncertainty quantification	6
To blow-up or not to blow-up for a granular kinetic equation	6
The synchronization of discrete quantum chaotic maps with uncertainty via compensated control technique	6
Revealing the sentiment propagation under the conscious emotional contagion mechanism in the social media ecosystem: For public opinion management	6
Progress, gaps and obstacles in the classification of cellular automata	6
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations	6
Rational vector rogue waves for the n-component Hirota equation wit	6
Chaotic evolution of the energy of the electron orbital and the hopping integral in diatomic molecule cations subjected to harmonic excitation	6
Deep regularization and direct training of the inner layers of Neural Networks with Kernel Flows	6
Non-abelian discrete Toda chains and related lattices	6
Nanoptera in nonlinear woodpile chains with zero precompression	6
Discrete models of complex systems: Recent trends and analytical challenges	6
An analytical study of capillary rise dynamics: Critical conditions and hidden oscillations	6
VC-PINN: Variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient	6
Explicit formulae for the peak time of an epidemic from the SIR model	6
On the elliptic-localized solutions of the sine–Gordon equation	6
Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows	6
A general view on double limits in differential equations	6
On the behavior of multidimensional radially symmetric solutions of the repulsive Euler–Poisson equations	5
Magnon–lattice dynamics in a Heisenberg–Morse model with spin–lattice interaction	5
Hamiltonian model for coupled surface and internal waves over currents and uneven bottom	5
An analytical and computational study of the incompressible Toner–Tu Equations	5
A free boundary problem of elasticity in an angle and a vector Riemann–Hilbert problem on a torus	5
Minimal model for oscillatory dynamics of a nonlinear chemical reaction network	5
Self-emerging symmetry breakings in a two-population network of phase oscillators interacting via an external environment	5
Editorial Board	5