Nonlinearity

Article	Citations
Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles	56
Asymptotics of discrete q-Freud II orthogonal polynomials from the q-Riemann Hilbert problem	40
Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation	28
Singularity formation for the cylindrically symmetric rotating relativistic Euler equations of Chaplygin gases	24
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	24
Linear response due to singularities	23
The evolution problem associated with the fractional first eigenvalue	23
Soliton solutions of the nonlinear Schrödinger equation with defect conditions	21
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	21
The effect of a positive bound state on the KdV solution: a case study *	19
Homogenization for sub-riemannian Lagrangians	18
Existence and stability for the travelling waves of the Benjamin equation	17
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	17
Instability of closed orbits obtained by minimization*	16
Asymptotic stability of rarefaction wave and boundary layer for outflow problem on the viscous vasculogenesis model *	16
Linear instability of elliptic rhombus solutions to the planar four-body problem	16
Monotonicity of entropy for real quadratic rational maps	16
Perturbation theory for nonlinear Schrödinger equations	15
Random iterations of maps on Rk : asymptotic stability, synchronisation and functional central limit theorem	15
Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner	15
Corrigendum: Limit cycles bifurcating from periodic orbits near a centre and a homoclinic loop with a nilpotent singularity of Hamiltonian systems (2020 Nonlinearity	15
How close are shell models to the 3D Navier–Stokes equations?	15
Erratum: Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation (2021 Nonlinearity 34 4017)	14
A weighted eigenvalue problem of the biased infinity Laplacian *	14
Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data	14

Partial regularity of a nematic liquid crystal model with kinematic transport effects	14
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	14
Oblique interactions between solitons and mean flows in the Kadomtsev–Petviashvili equation	13
The twisted baker map	13
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	13
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	13
A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation	13
Irrationality exponent and convergence exponent in continued fraction expansions	13
The growth of periodic orbits with large support	12
Area convergence of Voronoi cells on spiral lattices	12
Lyapunov irregular set of Banach cocycles	11
Existence of physical measures in some excitation–inhibition networks*	11
Absolute continuity of non-homogeneous Gibbs measures of the Ising model on the Cayley tree	11
Stratified Boussinesq equations with a velocity damping term	11
Computing Garsia entropy for Bernoulli convolutions with algebraic parameters *	11
Nonlinear scalar field equation with competing nonlocal terms *	11
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	11
Pointwise densities of homogeneous Cantor measure and critical values	11
Aubry–Mather theory on graphs	11
Hidden spatiotemporal symmetries and intermittency in turbulence	11
Global threshold dynamics and finite-time contraction stability for age-structured HIV models with delay	10
Critical intermittency in rational maps	10
Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data	10
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit	10
A Cahn–Hilliard phase field model coupled to an Allen–Cahn model of viscoelasticity at large strains	10
KdV on an incoming tide	10
On the non-integrability and dynamics of discrete models of threads	10
Anomalous self-similar solutions of exponential type for the subcritical fast diffusion equation with weighted reaction	10
Propagation acceleration in reaction diffusion equations with anomalous diffusions	10
Strong Feller property of the magnetohydrodynamics system forced by space–time white noise	10
Rigorous bounds on Lyapunov exponents of linked twist maps	10
Bifurcations of hidden orbits in discontinuous maps	10
Entropic transfer operators	9
Complex a priori bounds for Lorenz maps	9
Gevrey estimates for asymptotic expansions of Tori in weakly dissipative systems*	9
On stable and unstable behaviour of certain rotation segments	9
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions *	9
Uniform hyperbolicity of a class of scattering maps	9
On relations between properties in transitive Turing machines	9
On variable viscosity and enhanced dissipation	9
Filament structure of random waves	9
Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls	9
Asymptotic behaviour of global vortex rings	9
Singular diffusion with Neumann boundary conditions	9
Effective estimates of ergodic quantities illustrated on the Bolyai-Rényi map	9
Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment	8
Almost flat angles in surface superconductivity	8
Asymptotics of the deformed higher order Airy-kernel determinants and applications	8
Remarks on sparseness and regularity of Navier–Stokes solutions	8
The Morse index theorem for mechanical systems with reflections	8

Capturing the cascade: a transseries approach to delayed bifurcations	8
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	8
Global well-posedness of slightly supercritical SQG equations and gradient estimate	8
Transition phenomena for the attractor of an iterated function system*	8
Strong convergence of the vorticity and conservation of the energy for the α-Euler equations	8
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	8
Fiber denseness of intermediate β-shifts of finite type	8
Hausdorff dimension of thin higher-dimensional solenoidal attractors	8
Homogenization of the Navier–Stokes equations in perforated domains in the inviscid limit	8
Method of nose stretching in Newton’s problem of minimal resistance	8
Towards a classification of networks with asymmetric inputs	8
Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system	8
Stationary coalescing walks on the lattice II: entropy	7
Ginzburg–Landau equation with fractional Laplacian on a upper- right quarter plane	7
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations	7
Absolutely continuous invariant measures for random dynamical systems of beta-transformations	7
A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theory	7
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	7
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	7
Synchronization of Turing patterns in complex networks of reaction–diffusion systems set in distinct domains	7
On Liouville type results for the stationary MHD in	7
On the Lyapunov instability in Newtonian dynamics	7
Wronskian structures of planar symplectic ensembles	7
Asymptotic dynamics of Hamiltonian polymatrix replicators	7
On the role of the surface geometry in convex billiards	7
Matrix models for stationary Gromov–Witten invariants of the Riemann sphere	7
Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat	7
Thermocapillary thin films: periodic steady states and film rupture	7
Low regularity well-posedness for KP-I equations: the dispersion-generalized case	7
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	7
Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–Stokes	6
Hölder continuity of absolutely continuous spectral measure for the extended HARPER’S model	6
There are no σ-finite absolutely continuous invariant measures for multicritical circle maps *	6
Spectral properties of pattern sequences of general degrees	6
On multifractal analysis and large deviations of singular hyperbolic attractors	6
Analysis of a model of self-propelled agents interacting through pheromone	6
Existence, nonexistence and uniqueness for Lane–Emden type fully nonlinear systems	6
Ultradiscrete analogue of the van der Pol equation	6
Topological synchronisation or a simple attractor?	6
Scenarios for the creation of hyperchaotic attractors in 3D maps	6
Parametric approximations of fast close encounters of the planar three-body problem as arcs of a focus-focus dynamics	6
Random expansive measures	6
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations	6
Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps	6
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	6
Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds	6
Active vector models generalising 3D Euler and electron–MHD equations	6
A fuzzy q-closest alignment model	6
Spectrality of random convolutions generated by finitely many Hadamard triples	6
Remarks on the separation of Navier–Stokes flows	6
Locating Ruelle–Pollicott resonances*	6
Nonlinear stability of fast invading fronts in a Ginzburg–Landau equation with an additional conservation law	6
Quasi-graphs, zero entropy and measures with discrete spectrum	6
Finite-time blow-up and boundedness in a 2D Keller–Segel system with rotation	6
Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models*	6
Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists	6
Shape analysis via gradient flows on diffeomorphism groups	6
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	6
Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion	6
Spectrality of a class of infinite convolutions on R *	5
Global convergence rates from relaxed Euler equations to Navier–Stokes equations with Oldroyd-type constitutive laws	5
Birkhoff normal form in low regularity for the nonlinear quantum harmonic oscillator	5
Generalized Hardy operators	5
The global well-posedness of the relativistic Boltzmann equation with hard potentials and diffuse reflection boundary condition in bounded domains	5
Functional limit theorems for Volterra processes and applications to homogenization*	5
Global transonic solutions of hot-Jupiter model for exoplanetary atmosphere	5
Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction	5
Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrödinger operators	5
Continuum limit for the Ablowitz–Ladik system	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
The structure of the toric locus of a reaction network	5
Extremes and extremal indices for level set observables on hyperbolic systems *	5
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
On a fluid–structure interaction problem for plaque growth	5
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem*	5
Unstable entropies and dimension theory of partially hyperbolic systems	5
Takens-type reconstruction theorems of one-sided dynamical systems	5
Linear encoding of the spatiotemporal cat	5

Stochastic electromechanical bidomain model *	5
The measure transfer for subshifts induced by a morphism of free monoids	5
Extending discrete geometric singular perturbation theory to non-hyperbolic points	5
Optimal large time behaviour of the 3D compressible magnetohydrodynamics equations with large initial data	5
Necessary and sufficient conditions for Kolmogorov’s flux laws on	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Global attractivity for a nonautonomous Nicholson’s equation with mixed monotonicities	5
Hardy inequalities for magnetic p-Laplacians	5
The free material design problem for the stationary heat equation on low dimensional structure	5
Singular solutions of the BBM equation: analytical and numerical study	5
On the non-chiral intermediate long wave equation: II. Periodic case	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
The defect of toral Laplace eigenfunctions and arithmetic random waves	5
Liquid crystal elastomers wrinkling	5
Location of Siegel capture polynomials in parameter spaces	5
Vanishing viscosity limit for incompressible axisymmetric flow in the exterior of a cylinder	5
Algebraic identifiability of partial differential equation models	4
The Lorenz system as a gradient-like system	4
ADHM skyrmions	4
Stability and bifurcation phenomena in asymptotically Hamiltonian systems	4
Intersections of middle-α Cantor sets with a fixed translation	4
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model	4
Hidden dynamics for piecewise smooth maps	4
Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model	4
Classification and stability of positive solutions to the NLS equation on the T -metric graph	4
The simplest erasing substitution	4
Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter	4
Existence of solutions for the surface electromigration equation	4
Strong alignment of micro-rotation and vorticity in 3D micropolar flows*	4
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	4
Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries	4
Generalized spaces of pointwise regularity: toward a general framework for the WLM	4
Piecewise linear maps with heterogeneous chaos	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
The finiteness conjecture holds in (SL2Z⩾0)2 *	4
The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer	4
Superharmonic instability for regularized long-wave models*	4
Precise asymptotics on the Birkhoff sums for dynamical systems	4
Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction	4
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	4
Long-time behaviour for a nonlocal model from directed polymers	4
Numerical study of the Serre–Green–Naghdi equations in 2D *	4
Completely degenerate equilibria of the Kuramoto model on networks	4
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	4
Corrigendum: Target patterns in a 2D array of oscillators with nonlocal coupling (2018 Nonlinearity 31 4162)	4
On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation	4
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	4
New examples of stably ergodic diffeomorphisms in dimension 3	4
Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition	4
Simultaneous local normal forms of dynamical systems with singular underlying geometric structures	4
Quenched Poisson processes for random subshifts of finite type	4
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	4
Global solutions to the three-dimensional inhomogeneous incompressible Phan-Thien–Tanner system with a class of large initial data	4
Corrigendum: Non relativistic and ultra relativistic limits in 2D stochastic nonlinear damped Klein–Gordon equation (2022 Nonlinearity 35 2878)	4
Critical mass capacity for two-dimensional Keller–Segel model with nonlocal reaction terms	4
A PDE hierarchy for directed polymers in random environments	4
Finite-time blow-up in hyperbolic Keller–Segel system of consumption type with logarithmic sensitivity	4
Multifractal analysis in non-uniformly hyperbolic interval maps	4
Energy decay for wave equations with nonlinear damping and space-time coefficient in Rn	4
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport	4
Equilibrium states for hyperbolic potentials via inducing schemes *	4
Anderson localization for the unitary almost Mathieu operator	4
Long-time behavior of partially damped systems modeling degenerate plates with piers	4
Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth	4
Fractal squares with finitely many connected components *	3
A road map to the blow-up for a Kirchhoff equation with external force	3
Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and singular potential	3
Zeitlin’s model for axisymmetric 3D Euler equations	3
Revisiting the Kepler problem with linear drag using the blowup method and normal form theory	3
The stability of the b-family of peakon equations	3
(S)-convergence and approximation of oscillatory solutions in fluid dynamics	3
Global existence of solutions to the 4D attraction–repulsion chemotaxis system and applications of Brezis–Merle inequality	3
Rigorous justification for the space–split sensitivity algorithm to compute linear response in Anosov systems	3
On the generalization of classical Zernike system	3
Generic properties of free boundary problems in plasma physics*	3
Kolmogorov’s dissipation number and determining wavenumber for dyadic models	3
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	3
Reduction in soliton hierarchies, elliptic Lie algebras of Holod and Krichever-Novikov-type equations	3
Local well-posedness of a coupled Westervelt–Pennes model of nonlinear ultrasonic heating	3
Exponential moments for disk counting statistics of random normal matrices in the critical regime	3
Shadowing for nonuniformly hyperbolic maps in Hilbert spaces	3
Variational properties of nonlocal singular problems	3
Ahead of the Fisher–KPP front	3
Estimating Hausdorff measure for Denjoy maps	3
Dynamics of the Fermi–Ulam model in an external gravitational field	3
Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity	3
Unbounded solutions for the Muskat problem	3
Existence and multiplicity of peaked bound states for nonlinear Schrödinger equations on metric graphs	3
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*	3
Glimm’s method and density of wild data for the Euler system of gas dynamics *	3
Path-dependent shrinking target problems in beta-dynamical systems	3
Variational methods for breather solutions of nonlinear wave equations	3