Nonlinearity

Article	Citations
The measure transfer for subshifts induced by a morphism of free monoids	58
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	53
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	43
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	40
Stability of the 3D Navier–Stokes equations with anisotropic dissipation	36
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	35
Instability of closed orbits obtained by minimization*	31
On ergodic optimisation for unimodal maps	29
Sparsity of Fourier mass of passively advected scalars in the Batchelor regime	29
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	28
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	26
Amplitude equation for N -SPDEs with cubic nonlinearity in mean field limit *	24
Algebraic identifiability of partial differential equation models	24
The structure of the toric locus of a reaction network	23
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	21
On multifractal analysis and large deviations of singular hyperbolic attractors	21
Anderson localization for the unitary almost Mathieu operator	19
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	19
Regularization for point vortices on	18
Transition phenomena for the attractor of an iterated function system*	17
Linear response due to singularities	17
Ahead of the Fisher–KPP front	16
Hardy inequalities for magnetic p-Laplacians	16
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	16
Extending discrete geometric singular perturbation theory to non-hyperbolic points	16

Degenerate perturbations of infinite graph-directed iterated function systems	15
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	15
Intersections of middle-α Cantor sets with a fixed translation	15
On the ill-posedness of kinetic wave equations	15
On the creation of conjugate points for thermostats	13
Soliton synchronization with randomness: rogue waves and universality	13
Quenched Poisson processes for random subshifts of finite type	12
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	12
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	12
Unbounded solutions for the Muskat problem	12
On universality for the kinetic wave equation	12
Asymptotics for the noncommutative Painlevé II equation	11
On the profile of singularity formation for the incompressible hydrostatic Boussinesq system	11
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	11
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
Approximate localised dihedral patterns near a turing instability	11
On geometric hydrodynamics and infinite–dimensional magnetic systems	11
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	11
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	11
Radiating solitary waves in an FPUT lattice with random coefficients	10
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	10
Exponential moments for disk counting statistics of random normal matrices in the critical regime	10
From Euler–Jacobi to Bogoyavlenskij and back	10
Global dynamics in a Keller–Segel system with rotation and indirect signal production	10
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	10
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	10
Characteristic approach to the soliton resolution	10
Simple two-layer dispersive models in the Hamiltonian reduction formalism	10
Existence and weak–strong uniqueness for damage systems in viscoelasticity	10
Generic reversible complex polynomial vector fields	10
Dulac maps of real saddle-nodes	10
Equilibrium states for hyperbolic potentials via inducing schemes *	10
The Bernoulli property for counter-twisting linked twist maps	9
Critical exponents and dimension for generalised limit sets	9
Mean dimension of Bernstein spaces and universal real flows	9
Normalized solutions to p-Laplacian equations with combined nonlinearities*	9
The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble	9
On spatial decay for coherent states of the Benjamin–Ono equation	9
Small-data global existence of solutions for the Pitaevskii model of superfluidity	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Bistable boundary conditions implying codimension 2 bifurcations	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
The strong vanishing viscosity limit with Dirichlet boundary conditions	9
On zeros and spectral property of self-affine measures	9
Gromov–Hausdorff variational principles and measure stability *	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Generalized pentagram maps via Q -nets and refactorization mappings	9
L q -spectra of graph-directed planar non-conformal measures	9

Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
Failure of scattering for the NLSE with a point interaction in dimension two and three	8
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	8
Explicit examples of resonances for Anosov maps of the torus	8
Relative periodic solutions in spatial Kepler problem with symmetric perturbation	8
A multiple time renewal equation for neural assemblies with elapsed time model	8
Sharp interface dynamics in a minimal non-reciprocal Cahn–Hilliard system	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
Orbital stability of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Regularity of the stationary density for systems with fast random switching	8
Singular Euler–Maclaurin expansion on multidimensional lattices	8
Depinning transition of travelling waves for particle chains	8
Sobolev stability for the 2D MHD equations in the non-resistive limit	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
Multifractal scaling and the Euler equations on	8
Invariant measures for stochastic conservation laws on the line	8
The plasma-charge model in a convex domain	8
Shape dynamics of N point vortices on the sphere	8
Assouad type dimensions of infinitely generated self-conformal sets	8
Global solutions to the tangential Peskin problem in 2-D	8
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	8
Improving the Adam optimizer using time delays	8
The Zermelo navigation problem on the 2-sphere of revolution: an optimal control perspective with applications to micromagnetism	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	7
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	7
Integrable magnetic geodesic flows on 2-surfaces *	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Fast relaxation of a viscous vortex in an external flow	7
Computational symplectic topology and symmetric orbits in the restricted three-body problem	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	7
On the stability of the Hardy–Sobolev inequality involving p-Laplace	7
Dark breathers in the sinh-Gordon equation on an oscillatory wave background	7
λ -reduced super KP hierarchy associated to the superalgebra	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	6
The hyperbolic umbilic singularity in fast-slow systems	6
Multiplicative Diophantine approximation with restricted denominators	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Averaging for random metastable systems	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Construction of quasi-periodic solutions with the same Gevrey index as nonlinear terms in multi-dimensional NLS	6
Homotopical minimal measures for geodesic flows on surfaces of higher genus	6
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	6
Convex computation of maximal Lyapunov exponents	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	6
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	6
On the Cauchy problem for the Hartree approximation in quantum dynamics	6
Time-dependent billiards, variational method, and invariant tori	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
A new measure of coarseness for solutions to Cahn–Hilliard equations	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Large travelling capillary-gravity waves for Darcy flow	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	6
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
Relative equilibria of mechanical systems with rotational symmetry	6
A local pointwise inequality for a biharmonic equation with negative exponents	6
On a variant of Hilbert’s 16th problem	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
Zero-electron-mass limit for a two-fluid Euler–Poisson system for general initial data	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Internal-wave billiards in trapezoids and similar tables	6
Metrical properties of the large products of partial quotients in continued fractions	6
Chaotic dynamics in refraction galactic billiards	5
Generalized Hardy operators	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Asymptotic behaviour of global vortex rings	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5

The twisted baker map	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Minimal PI-systems with all points multiply minimal	5
From oxygen depletion to bacterial collapse: new perspectives on finite-time blow-up in chemotaxis models *	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
The uniqueness and monotonicity of incompressible jet with two fluids*	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Invariant measures and their limiting behaviour of the Landau-Lifshitz-Bloch equation in unbounded domains	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Homogenization for sub-riemannian Lagrangians	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Infinitely many new solutions for singularly perturbed Schrödinger equations	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Existence and stability for the travelling waves of the Benjamin equation	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	5
Even the vague specification property implies density of ergodic measures	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Critical intermittency in rational maps	5
Dihedral rings of patterns emerging from a Turing bifurcation	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Equivalence of Sobolev norms for Kolmogorov operators with scaling-critical drift	4
Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schrödinger equation	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
Negative Lyapunov exponents of circle maps forced by expanding circle endomorphisms	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
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
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
Compound Poisson statistics for dynamical systems via spectral perturbation	4
Tracking complex singularities of fluids on log-lattices	4
Non-isentropic cavity flow for the multi-d compressible Euler system	4
Poisson problems involving fractional Hardy operators and measures	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Stable standing waves for nonlinear Schrödinger–Poisson system with a doping profile	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Backpropagation in hyperbolic chaos via adjoint shadowing	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	4
Inverse iteration method for higher eigenvalues of the p-Laplacian	4
Stokes’ phenomenon in continuous limits of discrete Painlevé I	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Weighted twisted inhomogeneous diophantine approximation	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
Finite-time singularity formation for scalar stretching equations	4
Spectrality of a class of infinite convolutions on	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
Orbital stability of optical solitons in 2D	4
Algebraic entropy for hex systems	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
A model of the cubic connectedness locus	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
The local well-posedness of the Schrödinger–KdV system in	4
Exponential decay of the critical points in a discrete model of polyacetylene	4
Bundle switching in higher dimensions	4
Global higher regularity and decay estimates for positive solutions of fractional equations in	4
Miura-reciprocal transformations and localizable Poisson pencils	4
On a supercritical Hardy–Sobolev type inequality with logarithmic term and related extremal problem	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	4
Large gap asymptotics for a generalized Bessel-determinant with root- and jump-type singularities	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Well-posedness for fractional reaction-diffusion systems with mass dissipation in	4
Wm-algebras and fractional powers of difference operators	4
Galton–Watson processes in dynamical environments	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	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
Near-resonance approximation of rotating Navier–Stokes equations	4
Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity	4