Nonlinearity

Article	Citations
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	77
The measure transfer for subshifts induced by a morphism of free monoids	43
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	40
Anderson localization for the unitary almost Mathieu operator	37
Transition phenomena for the attractor of an iterated function system*	35
The structure of the toric locus of a reaction network	33
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	32
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	31
Stability of the 3D Navier–Stokes equations with anisotropic dissipation	24
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	23
Extending discrete geometric singular perturbation theory to non-hyperbolic points	21
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	20
On ergodic optimisation for unimodal maps	19
Instability of closed orbits obtained by minimization*	19
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	18
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	18
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	18
Linear response due to singularities	17
On multifractal analysis and large deviations of singular hyperbolic attractors	17
Quasi-graphs, zero entropy and measures with discrete spectrum	17
Hardy inequalities for magnetic p-Laplacians	16
Regularization for point vortices on	15
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	15
Algebraic identifiability of partial differential equation models	15
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	15

Intersections of middle-α Cantor sets with a fixed translation	14
Approximate localised dihedral patterns near a turing instability	14
Ahead of the Fisher–KPP front	14
Equilibrium states for hyperbolic potentials via inducing schemes *	14
Soliton synchronization with randomness: rogue waves and universality	13
On universality for the kinetic wave equation	13
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	13
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	13
Quenched Poisson processes for random subshifts of finite type	13
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	13
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	13
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	13
Weighted L 2-contractivity of Langevin dynamics with singular potentials	12
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	12
Global dynamics in a Keller–Segel system with rotation and indirect signal production	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	11
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	11
Unbounded solutions for the Muskat problem	11
Exponential moments for disk counting statistics of random normal matrices in the critical regime	11
Dulac maps of real saddle-nodes	11
On the ill-posedness of kinetic wave equations	11
On zeros and spectral property of self-affine measures	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
The Bernoulli property for counter-twisting linked twist maps	10
Characteristic approach to the soliton resolution	10
Small-data global existence of solutions for the Pitaevskii model of superfluidity	10
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	10
Continua and persistence of periodic orbits in ensembles of oscillators	10
Gromov–Hausdorff variational principles and measure stability *	9
Flexibility and rigidity of free boundary MHD equilibria	9
Normalized solutions to p-Laplacian equations with combined nonlinearities*	9
The strong vanishing viscosity limit with Dirichlet boundary conditions	9
Density of periodic measures and large deviation principle for generalised mod one transformations	9
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	9
Singular Euler–Maclaurin expansion on multidimensional lattices	9
The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble	9
Sobolev stability for the 2D MHD equations in the non-resistive limit	9
Mean dimension of Bernstein spaces and universal real flows	9
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	9
L q -spectra of graph-directed planar non-conformal measures	9
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
Historic wandering domains near cycles	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Global solutions to the tangential Peskin problem in 2-D	9
Bistable boundary conditions implying codimension 2 bifurcations	9
Regularity of the stationary density for systems with fast random switching	8
Improving the Adam optimizer using time delays	8
Invariant measures for stochastic conservation laws on the line	8

Depinning transition of travelling waves for particle chains	8
Orbital stability of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity	8
Global well-posedness for the cubic fractional NLS on the unit disk	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
Assouad type dimensions of infinitely generated self-conformal sets	8
On the stability of the Hardy–Sobolev inequality involving p-Laplace	8
Multifractal scaling and the Euler equations on	8
Shape dynamics of N point vortices on the sphere	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
The plasma-charge model in a convex domain	8
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	8
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Explicit examples of resonances for Anosov maps of the torus	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Homotopical minimal measures for geodesic flows on surfaces of higher genus	7
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	7
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	7
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	7
A multiple time renewal equation for neural assemblies with elapsed time model	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	7
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	7
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	7
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	7
The inverse scattering transform for weak Wigner–von Neumann type potentials *	7
Computational symplectic topology and symmetric orbits in the restricted three-body problem	7
Failure of scattering for the NLSE with a point interaction in dimension two and three	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Time-dependent billiards, variational method, and invariant tori	7
Continuity of sub-additive topological pressure with matrix cocycles *	7
Computability of topological pressure on compact shift spaces beyond finite type*	7
Metrical properties of the large products of partial quotients in continued fractions	7
Internal-wave billiards in trapezoids and similar tables	7
Integrable magnetic geodesic flows on 2-surfaces *	7
Convex computation of maximal Lyapunov exponents	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
A new measure of coarseness for solutions to Cahn–Hilliard equations	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
The hyperbolic umbilic singularity in fast-slow systems	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Relative equilibria of mechanical systems with rotational symmetry	6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
Multiplicative Diophantine approximation with restricted denominators	6
Infinitely many new solutions for singularly perturbed Schrödinger equations	6
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	6
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	6
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
On a variant of Hilbert’s 16th problem	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	6
On the Cauchy problem for the Hartree approximation in quantum dynamics	6
Chaotic dynamics in refraction galactic billiards	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
Averaging for random metastable systems	6
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	5
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Critical intermittency in rational maps	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
Existence and stability for the travelling waves of the Benjamin equation	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5

Generalized Hardy operators	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
Locating Ruelle–Pollicott resonances*	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
A local pointwise inequality for a biharmonic equation with negative exponents	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Compound Poisson statistics for dynamical systems via spectral perturbation	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Homogenization for sub-riemannian Lagrangians	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Spectrality of a class of infinite convolutions on	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	5
Asymptotic behaviour of global vortex rings	5
The twisted baker map	5
Chiral limit of twisted trilayer graphene	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Bundle switching in higher dimensions	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Stable standing waves for nonlinear Schrödinger–Poisson system with a doping profile	4
Tracking complex singularities of fluids on log-lattices	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
Algebraic entropy for hex systems	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Stationary soap film bridge subjected to an electrostatic force: the balanced case	4
Space-time statistical solutions of the incompressible Euler equations and Landau-Lifshitz fluctuating hydrodynamics	4
Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Microscopic patterns in the 2D phase-field-crystal model	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Gevrey regularity for the formally linearizable billiard of Treschev	4
The local well-posedness of the Schrödinger–KdV system in	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Weighted twisted inhomogeneous diophantine approximation	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
A model of the cubic connectedness locus	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
Wm-algebras and fractional powers of difference operators	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	4
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Finite-time singularity formation for scalar stretching equations	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Well-posedness for fractional reaction-diffusion systems with mass dissipation in	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Poisson problems involving fractional Hardy operators and measures	4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
Some existence results for the Brinkman-Fourier system	3
Joint moments of higher order derivatives of CUE characteristic polynomials II: structures, recursive relations, and applications	3
Hölder regularity for collapses of point-vortices	3
Robust chaos in	3
Lyapunov–Schmidt bifurcation analysis of a supported compressible elastic beam	3
Cramér distance and discretisations of circle expanding maps I: theory	3
Multi-component Hamiltonian difference operators	3
Navier–Stokes equations: regularity criteria in terms of the derivatives of several fundamental quantities along the streamlines—the case of a bounded domain	3
Partial regularity for an exponential PDE in crystal surface models	3
Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors	3
Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line	3
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3