Physica D-Nonlinear Phenomena

Article	Citations
Three-dimensional time-dependent water flows with constant non-vanishing vorticity and depth dependent density	189
Nonlinear wave transitions and their mechanisms of (2+1)-dimensional Sawada–Kotera equation	72
Synchronization of multi-weighted complex networks with mixed variable delays and uncertainties via impulsive pinning control	54
Controlling coexisting attractors of a class of non-autonomous dynamical systems	54
Learning mean-field equations from particle data using WSINDy	50
Synchronization of uncertain chaotic systems with minimal parametric information	50
Thermodynamically consistent Cahn–Hilliard–Navier–Stokes equations using the metriplectic dynamics formalism	46
Birkhoff averages and the breakdown of invariant tori in volume-preserving maps	45
Traveling pulses in a coupled FitzHugh–Nagumo equation	45
Nonintegrability of the SEIR epidemic model	44
Mathematical formulation of a dynamical system with dry friction subjected to external forces	43
Finite difference methods for nonlinear fractional differential equation with ψ	36
Stumpons are non-conservative traveling waves of the Camassa–Holm equation	36
Criteria for the (in)stability of planar interfaces in singularly perturbed 2-component reaction–diffusion equations	35
Ramp approximations of sigmoid control functions in gene networks	35
Hamiltonian preserving nonlinear optics	35
Linearized fast time-stepping schemes for time–space fractional Schrödinger equations	33
Editorial Board	33
An experimental and numerical investigation into the sensitivity of Rayleigh–Bénard convection to heat loss through the sidewalls	33
Rigorous justification of the hydrostatic approximation limit of viscous compressible flows	33
On the dynamics of predator–prey models with role reversal	31
Stability conditions for refractive partially integrable piecewise smooth vector fields	31
Rare decaying ripple solutions within the KP equation	31
Interactions of fractional N-solitons with anomalous dispersions for	31
Pattern formation in hyperbolic models with cross-diffusion: Theory and applications	29

Rocking block stability under periodic and random perturbations	29
Time-fractional Allen–Cahn equations versus powers of the mean curvature	28
Decay of time correlations in point vortex systems	28
Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati–Konno–Ichikawa-II equation	28
Non-intrusive model combination for learning dynamical systems	28
Screwon spectral statistics and dispersion relation in the quantum Rajeev–Ranken model	25
Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent?	24
A theoretical model for a vane with stochastic rotation	24
Learning dynamical systems from data: A simple cross-validation perspective, part IV: Case with partial observations	24
Enhancing population persistence by a protection zone in a reaction–diffusion model with strong Allee effect	24
Stability of linear Boolean networks	23
Editorial Board	23
Editorial Board	23
Triangular Schlesinger systems and superelliptic curves	22
The role of bilinguals in the Bayesian naming game	21
Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations	20
Editorial Board	20
Deep learning of conjugate mappings	20
Dynamic coupling in small-world outer synchronization of chaotic networks	20
Incompressible and fast rotation limit for barotropic Navier–Stokes equations at large Mach numbers	19
Stable defect states in the continuous spectrum of bilayer graphene with magnetic field	19
Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order	19
Bifurcation analysis of a North Atlantic Ocean box model with two deep-water formation sites	19
Spectral stability of elliptic solutions to the short-pulse equation	18
A circuit complexity formulation of algorithmic information theory	18
Impacts of inclusion of time delay in efforts on the dynamics of forestry biomass, concentration of greenhouse gases and elevated temperature	17
Latitudinal storm track shift in a reduced two-level model of the atmosphere	17
Editorial Board	17
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum	16
Action–angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov–Ito system	16
Structured heterogeneity of network in evolutionary social dilemmas under assortative linking and learning	16
A dynamical systems approach for most probable escape paths over periodic boundaries	16
Preface to the special issue: Orthogonal polynomials and integrable systems, Peakons, Toda lattices and Painlevé transcendents	16
Editorial Board	15
Jointly equivariant dynamics for interacting particles	15
Intermittent phase dynamics of non-autonomous oscillators through time-varying phase	15
Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies	14
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	14
A POD/Galerkin model from eigenfunctions of non-converged Newton iterations in a convection problem	14
Dynamics of cubic–quintic nonlinear PT-symmetr	14
Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models	14
Why it is sufficient to consider only the case where the seed of linear cellular automata is 1	13
Data-driven method to learn the most probable transition pathway and stochastic differential equation	13
Separation of the two-dimensional steady MHD boundary layer	13
Density of states for a low-energy point vortex gas on the sphere	13
Integrable reductions of the multi-component Kaup–Newell equations	13
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold	13
Leader-following quasi-consensus of heterogeneous multiagent systems with switched cooperative–competitive interactions	13
Measurements-based constrained control optimization in presence of uncertainties with application to the driver commands for high-speed trains	13
Robustness measurement of multiplex networks based on multiplex motifs	13

Editorial Board	13
Bounds on heat transfer by incompressible flows between balanced sources and sinks	13
Approximate boundaries of resonance tongue for planar maps	13
Dynamics of complex bodies with memory and vector-valued microstructure: Existence and uniqueness	13
Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion	13
Estimate exponential memory decay in hidden Markov model and its applications to inference	12
Impacts of diapause eggs on mosquito population suppression based on incompatible or sterile insect technique	12
Tri-Hamiltonian structure of the Ablowitz–Ladik hierarchy	12
Long-timescale soliton dynamics in the Korteweg–de Vries equation with multiplicative translation-invariant noise	12
Blow-up and scattering for the 1D NLS with point nonlinearity above the mass–energy threshold	12
Editorial Board	12
Non-parametric probabilistic load flow using Gaussian process learning	12
Background-enhanced collapse instability of optical speckle beams in nonlocal nonlinear media	11
Modeling kink dynamics in the sine–Gordon model with position dependent dispersive term	11
Bifurcation and dynamics of periodic solutions to the Rayleigh–Plesset equation: Theory and numerical simulation	11
Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression	11
Adaptive Hagen–Poiseuille flows on graphs	11
Incompressible energy spectrum from wave turbulence	11
Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	11
Occurrence of Vibrational resonance in an oscillator with an asymmetric Toda potential	11
Kubo combinatorics for turbulence scaling laws	11
Motifs, coherent configurations and second order network generation	11
A Riemann–Hilbert method to algebro-geometric solutions of the Korteweg–de Vries equation	11
Local and nonlocal solitons in a coupled real system of Landau–Lifshitz equations	11
Geometrically exact post-buckling and post-flutter of standing cantilevered pipe conveying fluid	10
Lagrangian descriptors and the action integral of classical mechanics	10
The numerical search for the internal dynamics of NHIMs and their pictorial representation	10
Unsupervised classification of non-linear dynamics in optical fiber propagation using intensity clustering	10
Statistical basin of attraction in time-delayed cutting dynamics: Modelling and computation	10
Pseudo grid-based physics-informed convolutional-recurrent network solving the integrable nonlinear lattice equations	10
Breathers and mixed oscillatory states near a Turing–Hopf instability in a two–component reaction–diffusion system	10
Almost synchronization phenomena in the two and three coupled Brusselator systems	10
Deterministic inhomogeneous ratchet in a periodic potential	10
On the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data	10
Restrictions in a distributed complex fractional order linear constitutive equations of viscoelasticity	9
l2	9
Two-dimensional incompressible micropolar fluid models with singular initial data	9
A data-driven approach for discovering stochastic dynamical systems with non-Gaussian Lévy noise	9
On the Sun-shadow dynamics	9
Formation of the undular bores in shallow water generalized Kaup–Boussinesq model	9
Bogolyubov’s averaging theorem applied to the Kramers–Henneberger Hamiltonian	9
The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background	9
The structure of algebraic solitons and compactons in the generalized Korteweg–de Vries equation	9
Opinion dynamics involving contrarian and independence behaviors based on the Sznajd model with two-two and three-one agent interactions	9
The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface	9
Convolution kernel determination problem for the time-fractional diffusion equation	9
Entropic extensivity and large deviations in the presence of strong correlations	9
Modeling the impacts of chemical substances and time delay to mitigate regional atmospheric pollutants and enhance rainfall	8
Rhombic and hexagonal pattern formation in 2D hyperbolic reaction–transport systems in the context of dryland ecology	8
On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on	8
Families of Q-balls in a deformed O(	8
Behavior-induced phase transitions with far from equilibrium patterning in a SIS epidemic model: Global vs non-local feedback	8
On the impact of short laser pulses on cold diluted plasmas	8
Dispersive shock waves in lattices: A dimension reduction approach	8
Semi-rational vector rogon–soliton solutions and asymptotic analysis for anyn	8
Breathers, cascading instabilities and Fermi–Pasta–Ulam–Tsingou recurrence of the derivative nonlinear Schrödinger equation: Effects of ‘self-steepening’ nonlinearity	8
Thermocapillary thin film flows on a slippery substrate with odd viscosity effects	8
A continuum model for morphology formation from interacting ternary mixtures: Simulation study of the formation and growth of patterns	8
Mechanisms of stationary converted waves and their complexes in the multi-component AB system	8
COVID-19 vaccine incentive scheduling using an optimally controlled reinforcement learning model	8
On pressureless Euler equation with external force	8
Noise-driven bifurcations in a nonlinear Fokker–Planck system describing stochastic neural fields	8
The radial hedgehog solution in the Landau–de Gennes theory: Effects of the bulk potentials	8
Bayesian learning of stochastic dynamical models	8
On periodically modulated rolls in the generalized Swift–Hohenberg equation: Galerkin’ approximations	8
Rayleigh–Taylor and Richtmyer–Meshkov instabilities: A journey through scales	8
On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations	8
Universal rogue wave patterns associated with the Yablonskii–Vorob’ev polynomial hierarchy	8
Subharmonic dynamics of wave trains in reaction–diffusion systems	8
Supercritical Hopf bifurcation in baleen whale populations	8
Likelihood-based generalization of Markov parameter estimation and multiple shooting objectives in system identification	8
Limit cycles in piecewise polynomial systems allowing a non-regular switching boundary	8
The inverse problem for periodic travelling waves of the linear 1D shallow-water equations	8
Energy distributions of Frenkel–Kontorova-type atomic chains: Transition from conservative to dissipative dynamics	7
Sufficient and necessary conditions for self-similar motions of three point vortices in generalized fluid systems	7
Jensen-autocorrelation function for weakly stationary processes and applications	7
Integrating physics of the problem into data-driven methods to enhance elastic full-waveform inversion with uncertainty quantification	7
On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics	7
Editorial Board	7
Numerical experiments on stationary, oscillating, and damped spherical galaxy models	7

Convergence rates and central limit theorem for 3-D stochastic fractional Boussinesq equations with transport noise	7
Reduced Markovian models of dynamical systems	7
Chaotic responses across the potential barrier of bistable vortex-induced vibration energy harvesters	7
Numerical analysis of a 1/2-equation model of turbulence	7
Existence of dark solitons for Kundu–Eckhaus equations	7
A multi-domain model for microcirculation in optic nerve: Blood flow and oxygen transport	7
Editorial Board	7
Rayleigh–Taylor instability in an arbitrary direction electrostatic field	7
Minimal model for reservoir computing	7
Learning on predictions: Fusing training and autoregressive inference for long-term spatiotemporal forecasts	7
Editorial Board	7
Multilayer structure-induced collective dynamics in uncoupled memristive Rulkov neurons: Impact of field coupling and intralayer connections	7
Adaptive dynamic social networks using an agent-based model to study the role of social awareness in infectious disease spread	7
Stability and instability of a generic non-conservative compressible two-fluid model in	7
On bifurcation of non-isolated singular points arising in a problem of two-phase fluid motion in a pipe	7
Global dynamics of a periodically forced SI disease model of Lotka–Volterra type	7
Bifurcation of the neuronal population dynamics of the modified theta model: Transition to macroscopic gamma oscillation	6
Corrigendum to “An elapsed time model for strongly coupled inhibitory and excitatory neural networks” [Physica D: Nonlinear Phenomena, 2021, vol. 425, p. 132977]	6
Generalized Fokker–Planck equation for superstatistical systems	6
Lagrangian descriptors with uncertainty	6
Rayleigh–Taylor instability with gravity reversal	6
Nonlinear characteristics of various local waves on nonzero backgrounds of a (2+1)-dimensional generalized Kadomtsev–Petviashvili equation with variable coefficients	6
Inverse scattering transform for the focusing PT-symmetric nonlinear Schrödinger equation with nonzero boundary conditions: Higher-order poles and multi-soliton solutions	6
On the constructivity of the variational approach to Arnold’s Diffusion	6
A symmetry of potential function and non-relaxation theorems of heat flux in nonlinear lattice	6
Detecting stochastic governing laws with observation on stationary distributions	6
On the Katugampola fractional integral and dimensional analysis of the fractal basin boundary for a random dynamical system	6
On the structural sensitivity of some diffusion–reaction models of population dynamics	6
Discrete models of complex systems: Recent trends and analytical challenges	6
Dynamics of general higher-order rogue waves in the two-component long wave–short wave model of Newell type	6
Hausdorff metric based training of kernels to learn attractors with application to 133 chaotic dynamical systems	6
Numerical calculation and characteristics of quasi-periodic breathers to the Kadomtsev–Petviashvili-based system	6
The dictator’s dilemma: The distortion of information flow in autocratic regimes and its consequences	6
Coupling parameter and particle dynamics for adaptive sampling in Neural Galerkin schemes	6
Minimal model for investigation of noise-induced bubbling	6
The synchronization of discrete quantum chaotic maps with uncertainty via compensated control technique	6
Breaking of mirror symmetry reshapes vortices in chiral nematic liquid crystals	6
An elapsed time model for strongly coupled inhibitory and excitatory neural networks	6
A principle of maximum entropy for the Navier–Stokes equations	6
Deciphering two delay dynamics of ecological system with generalist predator incorporating competitive interference	6
Scattering between orthogonally wobbling kinks	6
Properties of some dynamical systems for three collapsing inelastic particles	6
A simple but complex enough θ-SIR type model to be used with COVID-1	6
Information quantity evaluation of nonlinear time series processes and applications	6
Long time asymptotics for the nonlocal mKdV equation with finite density initial data	6
Blow-up of a dyadic model with intermittency dependence for the Hall MHD	5
A free boundary problem of elasticity in an angle and a vector Riemann–Hilbert problem on a torus	5
Computing the solutions of the van der Pol equation to arbitrary precision	5
Exact response theory and Kuramoto dynamics	5
Nonlinear science against the COVID-19 pandemic	5
Extended Schur’s Q-functions and the full Kostant–Toda hierarchy on	5
Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations	5
On the behavior of multidimensional radially symmetric solutions of the repulsive Euler–Poisson equations	5
Central vortex steady states and dynamics of Bose–Einstein condensates interacting with a microwave field	5
Hamiltonian model for coupled surface and internal waves over currents and uneven bottom	5
Whispering gallery orbits in Sinai oscillator trap	5
An analytical and computational study of the incompressible Toner–Tu Equations	5
Editorial Board	5
Evolutionary correlation, regime switching, spectral dynamics and optimal trading strategies for cryptocurrencies and equities	5
Paradoxical simulation results of chaos-like chattering in the bouncing ball system	5
Description of the buckling of a chain of hard spheres in terms of Jacobi functions	5
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Atomic bright soliton interferometry	5
Hidden and unstable periodic orbits as a result of homoclinic bifurcations in the Suarez–Schopf delayed oscillator and the irregularity of ENSO	5
Poisson brackets and truncations in nonlinear reduced fluid models for plasmas	5
An exactly solvable problem of wave fronts and applications to the asymptotic theory	5
Péclet-number dependence of optimal mixing strategies identified using multiscale norms	5
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation	5
Near resonant approximation of the rotating stratified Boussinesq system on a 3-torus	5
Statistics of a family of piecewise linear maps	5
Hopf bifurcation at infinity in 3D Relay systems	5
Adding filters to improve reservoir computer performance	5
Self-emerging symmetry breakings in a two-population network of phase oscillators interacting via an external environment	5
Identification of an influence network using ensemble-based filtering for Hawkes processes driven by count data	5
Differential recurrences for the distribution of the trace of the β-	5
Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs	5
Similarities between characteristics of convective turbulence in confined and extended domains	5
Multilayer time-variant network edges synchronization method	5
Editorial Board	5
The impact of thermal noise on kink propagation through a heterogeneous system	5
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Chaotic evolution of the energy of the electron orbital and the hopping integral in diatomic molecule cations subjected to harmonic excitation	5
Numerical solution of the two-dimensional Steigmann–Ogden model of material surface with a boundary	5
Integrable systems of the intermediate long wave type in 2	5
Magnon–lattice dynamics in a Heisenberg–Morse model with spin–lattice interaction	5
Editorial Board	5
Minimal model for oscillatory dynamics of a nonlinear chemical reaction network	5
Resampling with neural networks for stochastic parameterization in multiscale systems	5
Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner–Goldin theory: Existence of solitary waves	5
First-principle validation of Fourier’s law in d5
Multi-component universal character hierarchy and its polynomial tau-functions	5
Complex dynamics of a vibration machine caused by a relay feedback control	4
Characterisations for the depletion of reactant in a one-dimensional dynamic combustion model	4
Editorial Board	4
Data-driven solutions and parameter discovery of the Sasa–Satsuma equation via the physics-informed neural networks method	4