Nonlinearity

Article	Citations
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	63
Enlarged evolution system of measures of stochastic p-Laplace lattice systems with superlinear noise	37
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	27
Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction	26
Periodic unique codings of fat Sierpinski gasket	26
Global convergence rates from relaxed Euler equations to Navier–Stokes equations with Oldroyd-type constitutive laws	25
Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter	25
On the non-chiral intermediate long wave equation: II. Periodic case	24
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	24
Topological synchronisation or a simple attractor?	22
Low regularity well-posedness for KP-I equations: the dispersion-generalized case	21
A Cahn–Hilliard phase field model coupled to an Allen–Cahn model of viscoelasticity at large strains	20
Oblique interactions between solitons and mean flows in the Kadomtsev–Petviashvili equation	19
Parametric approximations of fast close encounters of the planar three-body problem as arcs of a focus-focus dynamics	18
Lyapunov exponents of orthogonal-plus-normal cocycles	18
Random expansive measures	17
Existence and stability for the travelling waves of the Benjamin equation	17
Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system	17
Scenarios for the creation of hyperchaotic attractors in 3D maps	16
The free material design problem for the stationary heat equation on low dimensional structure	16
The measure transfer for subshifts induced by a morphism of free monoids	16
Extending discrete geometric singular perturbation theory to non-hyperbolic points	16
Towards a classification of networks with asymmetric inputs	15
Linear encoding of the spatiotemporal cat	15
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	15

Asymptotics of the deformed higher order Airy-kernel determinants and applications	15
On variable viscosity and enhanced dissipation	15
Uniform hyperbolicity of a class of scattering maps	15
Exactly self-similar blow-up of the generalized De Gregorio equation	15
Aubry–Mather theory on graphs	14
Erratum: Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation (2021 Nonlinearity 34 4017)	14
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	13
The defect of toral Laplace eigenfunctions and arithmetic random waves	13
Soliton solutions of the nonlinear Schrödinger equation with defect conditions	13
Capturing the cascade: a transseries approach to delayed bifurcations	12
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	12
On multifractal analysis and large deviations of singular hyperbolic attractors	12
Asymptotics of discrete q-Freud II orthogonal polynomials from the q-Riemann Hilbert problem	12
Singular solutions of the BBM equation: analytical and numerical study	12
Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls	12
Almost flat angles in surface superconductivity	11
Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation	11
Functional limit theorems for Volterra processes and applications to homogenization*	11
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	11
Spectral properties of pattern sequences of general degrees	11
Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion	11
Nonlinear scalar field equation with competing nonlocal terms *	11
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	11
A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory	11
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	11
On stable and unstable behaviour of certain rotation segments	10
Hidden spatiotemporal symmetries and intermittency in turbulence	10
Locating Ruelle–Pollicott resonances*	10
Spectrality of a class of infinite convolutions on R *	10
Entropic transfer operators	10
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem*	10
The twisted baker map	10
Hausdorff dimension of thin higher-dimensional solenoidal attractors	10
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations	10
Transition phenomena for the attractor of an iterated function system*	10
Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists	10
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	10
Critical intermittency in rational maps	10
The structure of the toric locus of a reaction network	10
Absolutely continuous invariant measures for random dynamical systems of beta-transformations	9
Takens-type reconstruction theorems of one-sided dynamical systems	9
Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases	9
A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation	9
Strong alignment of micro-rotation and vorticity in 3D micropolar flows*	9
Rigorous bounds on Lyapunov exponents of linked twist maps	9
Stochastic electromechanical bidomain model *	9
Existence, nonexistence and uniqueness for Lane–Emden type fully nonlinear systems	9
Vanishing viscosity limit for incompressible axisymmetric flow in the exterior of a cylinder	8
Linear response due to singularities	8
On a fluid–structure interaction problem for plaque growth	8

On relations between properties in transitive Turing machines	8
Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries	8
Strong Feller property of the magnetohydrodynamics system forced by space–time white noise	8
Fiber denseness of intermediate β-shifts of finite type	8
Long-time behavior of partially damped systems modeling degenerate plates with piers	8
Remarks on the separation of Navier–Stokes flows	8
On the non-integrability and dynamics of discrete models of threads	8
There are no σ-finite absolutely continuous invariant measures for multicritical circle maps *	8
Homogenization of the Navier–Stokes equations in perforated domains in the inviscid limit	8
Computing Garsia entropy for Bernoulli convolutions with algebraic parameters *	8
Bifurcations of hidden orbits in discontinuous maps	7
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	7
Anderson localization for the unitary almost Mathieu operator	7
Hölder continuity of absolutely continuous spectral measure for the extended HARPER’S model	7
Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps	7
Global well-posedness of slightly supercritical SQG equations and gradient estimate	7
Analysis of a model of self-propelled agents interacting through pheromone	7
Strong convergence of the vorticity and conservation of the energy for the α-Euler equations	7
Remarks on sparseness and regularity of Navier–Stokes solutions	7
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map	7
Generalized Hardy operators	7
The Morse index theorem for mechanical systems with reflections	7
Necessary and sufficient conditions for Kolmogorov’s flux laws on	7
Area convergence of Voronoi cells on spiral lattices	7
Global attractivity for a nonautonomous Nicholson’s equation with mixed monotonicities	7
Global threshold dynamics and finite-time contraction stability for age-structured HIV models with delay	7
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	7
Monotonicity of entropy for real quadratic rational maps	7
On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation	7
A fuzzy q-closest alignment model	7
On the role of the surface geometry in convex billiards	7
Wronskian structures of planar symplectic ensembles	7
Shape analysis via gradient flows on diffeomorphism groups	7
Elementary catastrophes underlying bifurcations of vector fields and PDEs	7
Partial regularity of a nematic liquid crystal model with kinematic transport effects	7
Lyapunov irregular set of Banach cocycles	7
Method of nose stretching in Newton’s problem of minimal resistance	7
Asymptotic dynamics of Hamiltonian polymatrix replicators	7
The growth of periodic orbits with large support	6
On Liouville type results for the stationary MHD in	6
Linear instability of elliptic rhombus solutions to the planar four-body problem	6
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	6
Synchronization of Turing patterns in complex networks of reaction–diffusion systems set in distinct domains	6
Ginzburg–Landau equation with fractional Laplacian on a upper- right quarter plane	6
The global well-posedness of the relativistic Boltzmann equation with hard potentials and diffuse reflection boundary condition in bounded domains	6
Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner	6
Active vector models generalising 3D Euler and electron–MHD equations	6
Almost sure scattering at mass regularity for radial Schrödinger equations	6
Birkhoff normal form in low regularity for the nonlinear quantum harmonic oscillator	6
Filament structure of random waves	6
Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data	6
Perturbation theory for nonlinear Schrödinger equations	6
On the Lyapunov instability in Newtonian dynamics	6
Homogenization for sub-riemannian Lagrangians	6
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	6
Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions	6
Stationary coalescing walks on the lattice II: entropy	6
Instability of closed orbits obtained by minimization*	6
Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles	6
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	6
The evolution problem associated with the fractional first eigenvalue	6
Corrigendum: Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems (2020 Nonlinearity	6
Irrationality exponent and convergence exponent in continued fraction expansions	6
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	6
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions *	6
Thermocapillary thin films: periodic steady states and film rupture	6
Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction	6
Finite-time blow-up and boundedness in a 2D Keller–Segel system with rotation	5
Global transonic solutions of hot-Jupiter model for exoplanetary atmosphere	5
Continuum limit for the Ablowitz–Ladik system	5
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	5
Asymptotic stability of rarefaction wave and boundary layer for outflow problem on the viscous vasculogenesis model *	5
Existence of physical measures in some excitation–inhibition networks*	5
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment	5
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	5
Quasi-graphs, zero entropy and measures with discrete spectrum	5
Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law	5
Liquid crystal elastomers wrinkling	5
Metrical properties for the product of consecutive partial quotients in Hurwitz continued fractions*	5
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	5

Spectrality of random convolutions generated by finitely many Hadamard triples	5
Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data	5
Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds	5
KdV on an incoming tide	5
Ultradiscrete analogue of the van der Pol equation	5
Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–Stokes	5
On universality for the kinetic wave equation	5
Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth	5
Algebraic identifiability of partial differential equation models	5
How close are shell models to the 3D Navier–Stokes equations?	5
Asymptotic behaviour of global vortex rings	5
Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models*	5
Unstable entropies and dimension theory of partially hyperbolic systems	5
Hardy inequalities for magnetic p-Laplacians	5
Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*	5
Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree	5
Stratified Boussinesq equations with a velocity damping term	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
The 2D Gray–Scott system of equations: constructive proofs of existence of localized stationary patterns	5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
A Hamilton–Jacobi approach to nonlocal kinetic equations	4
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	4
Entropy inequalities for semigroup actions	4
Stability and bifurcation phenomena in asymptotically Hamiltonian systems	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
A note on the topological synchronization of unimodal maps	4
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	4
Global dynamics in a Keller–Segel system with rotation and indirect signal production	4
Rigorous justification for the space–split sensitivity algorithm to compute linear response in Anosov systems	4
Unbounded solutions for the Muskat problem	4
Fourier decay of equilibrium states for bunched attractors	4
Approximate localised dihedral patterns near a turing instability	4
Vanishing centre-of-mass limit of the 2D-1D corotational Oldroyd-B polymeric fluid-structure interaction problem	4
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains	4
Noise induced order for skew-products over a non-uniformly expanding base	4
Weighted twisted inhomogeneous diophantine approximation	4
Deep-water and shallow-water limits of the intermediate long wave equation	4
System of stochastic interacting wave functions that model quantum measurements	4
Global solutions to the three-dimensional inhomogeneous incompressible Phan-Thien–Tanner system with a class of large initial data	4
Second order asymptotics and uniqueness for self-similar profiles to a singular diffusion equation with gradient absorption	4
Equilibrium states for hyperbolic potentials via inducing schemes *	4
Shadowing for nonuniformly hyperbolic maps in Hilbert spaces	4
Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior domains	4
Scenario of a mildly stable transition from codimensional one Anosov diffeomorphism to a DA-diffeomorphism	4
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs	4
Zeitlin’s model for axisymmetric 3D Euler equations	4
The simplest erasing substitution	4
Constructive proofs of existence and stability of solitary waves in the Whitham and capillary–gravity Whitham equations	4
Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and varying total population	4
Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Accelerated relaxation enhancing flows cause total dissipation	4
Multiple scale asymptotics of map enumeration	4
Return-time and pullback-convergence properties of statistical attractors	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	4
ADHM skyrmions	4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*	4
Wm-algebras and fractional powers of difference operators	4
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation	4
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	4
Reduction in soliton hierarchies, elliptic Lie algebras of Holod and Krichever-Novikov-type equations	4
Glimm’s method and density of wild data for the Euler system of gas dynamics *	4
Corrigendum: Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation (2022 Nonlinearity 35 2878)	4
On the area rate of perturbed Siegel disks	3
Corrigendum: Target patterns in a 2D array of oscillators with nonlocal coupling (2018 Nonlinearity 31 4162)	3
Rescaled entropy of cellular automata	3
Global existence to a diagonal hyperbolic system for any BV initial data	3
A unified framework for the analysis of accuracy and stability of a class of approximate Gaussian filters for the Navier–Stokes equations	3
Thick hyperbolic repelling invariant Cantor sets and wild attractors	3
The stability of the b-family of peakon equations	3
Revisiting the Kepler problem with linear drag using the blowup method and normal form theory	3
Parabolic bifurcation loci in the spaces of rational functions	3
Time periodic solutions to Hibler’s sea ice model	3
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system	3
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	3
The Lorenz system as a gradient-like system	3
Classical n-body scattering with long-range potentials	3
Multi-valued random dynamics of partly dissipative reaction–diffusion system with discontinuous nonlinearity on RN	3
Bifurcation and regularity analysis of the Schrödinger-Poisson equation	3
Takasaki’s rational fourth Painlevé-Calogero system and geometric regularisability of algebro-Painlevé equations	3
Stable/unstable holonomies, density of periodic points, and transitivity for continuum-wise hyperbolic homeomorphisms	3
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	3
Piecewise linear maps with heterogeneous chaos	3
Existence of solutions for the surface electromigration equation	3
An existence theory for superposition operators of mixed order subject to jumping nonlinearities	3
On the efficient global dynamics of Newton’s method for complex polynomials	3
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	3
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	3
Well-posedness and global dynamics for the critical Hardy–Sobolev parabolic equation	3
Example of simplest bifurcation diagram for a monotone family of vector fields on a torus*	3