Nonlinearity

Article	Citations
The measure transfer for subshifts induced by a morphism of free monoids	44
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	40
Transition phenomena for the attractor of an iterated function system*	37
The structure of the toric locus of a reaction network	36
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	32
Stability of the 3D Navier–Stokes equations with anisotropic dissipation	27
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	25
Extending discrete geometric singular perturbation theory to non-hyperbolic points	24
Instability of closed orbits obtained by minimization*	19
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	19
On ergodic optimisation for unimodal maps	19
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	18
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	18
On multifractal analysis and large deviations of singular hyperbolic attractors	17
Linear response due to singularities	17
Quasi-graphs, zero entropy and measures with discrete spectrum	17
Hardy inequalities for magnetic p-Laplacians	17
Regularization for point vortices on	16
Anderson localization for the unitary almost Mathieu operator	16
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	15
Algebraic identifiability of partial differential equation models	15
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	15
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	15
Ahead of the Fisher–KPP front	15

Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	15
On the ill-posedness of kinetic wave equations	14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	14
Intersections of middle-α Cantor sets with a fixed translation	14
Approximate localised dihedral patterns near a turing instability	14
Equilibrium states for hyperbolic potentials via inducing schemes *	14
Soliton synchronization with randomness: rogue waves and universality	13
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	13
Quenched Poisson processes for random subshifts of finite type	12
On universality for the kinetic wave equation	12
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	12
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	11
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	11
Global dynamics in a Keller–Segel system with rotation and indirect signal production	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
Exponential moments for disk counting statistics of random normal matrices in the critical regime	11
Simple two-layer dispersive models in the Hamiltonian reduction formalism	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
Existence and weak–strong uniqueness for damage systems in viscoelasticity	10
Unbounded solutions for the Muskat problem	10
Characteristic approach to the soliton resolution	10
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	10
The Bernoulli property for counter-twisting linked twist maps	10
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	10
Dulac maps of real saddle-nodes	10
Small-data global existence of solutions for the Pitaevskii model of superfluidity	10
Gromov–Hausdorff variational principles and measure stability *	9
L q -spectra of graph-directed planar non-conformal measures	9
On zeros and spectral property of self-affine measures	9
Mean dimension of Bernstein spaces and universal real flows	9
The strong vanishing viscosity limit with Dirichlet boundary conditions	9
Critical exponents and dimension for generalised limit sets	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Global solutions to the tangential Peskin problem in 2-D	9
Bistable boundary conditions implying codimension 2 bifurcations	9
Historic wandering domains near cycles	9
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Flexibility and rigidity of free boundary MHD equilibria	9
Normalized solutions to p-Laplacian equations with combined nonlinearities*	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
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
Invariant measures for stochastic conservation laws on the line	8

The plasma-charge model in a convex domain	8
Assouad type dimensions of infinitely generated self-conformal sets	8
Shape dynamics of N point vortices on the sphere	8
Improving the Adam optimizer using time delays	8
Regularity of the stationary density for systems with fast random switching	8
Orbital stability of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity	8
On the stability of the Hardy–Sobolev inequality involving p-Laplace	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	8
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
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
Computational symplectic topology and symmetric orbits in the restricted three-body problem	7
The inverse scattering transform for weak Wigner–von Neumann type potentials *	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	7
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	7
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	7
Internal-wave billiards in trapezoids and similar tables	7
A multiple time renewal equation for neural assemblies with elapsed time model	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Time-dependent billiards, variational method, and invariant tori	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Multifractal scaling and the Euler equations on	7
A new measure of coarseness for solutions to Cahn–Hilliard equations	7
Homotopical minimal measures for geodesic flows on surfaces of higher genus	7
Failure of scattering for the NLSE with a point interaction in dimension two and three	7
Integrable magnetic geodesic flows on 2-surfaces *	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	7
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Depinning transition of travelling waves for particle chains	7
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	6
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	6
Averaging for random metastable systems	6
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	6
On a variant of Hilbert’s 16th problem	6
Metrical properties of the large products of partial quotients in continued fractions	6
Convex computation of maximal Lyapunov exponents	6
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
Multiplicative Diophantine approximation with restricted denominators	6
Relative equilibria of mechanical systems with rotational symmetry	6
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	6
Almost sure scattering at mass regularity for radial Schrödinger equations	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Infinitely many new solutions for singularly perturbed Schrödinger equations	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Compound Poisson statistics for dynamical systems via spectral perturbation	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Asymptotic behaviour of global vortex rings	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5

Homogenization for sub-riemannian Lagrangians	5
The twisted baker map	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Chaotic dynamics in refraction galactic billiards	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5
A local pointwise inequality for a biharmonic equation with negative exponents	5
The hyperbolic umbilic singularity in fast-slow systems	5
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	5
Existence and stability for the travelling waves of the Benjamin equation	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	5
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Critical intermittency in rational maps	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	5
On the structure of periodic eigenvalues of the vectorial p-Laplacian	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Spectrality of a class of infinite convolutions on	5
Generalized Hardy operators	5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Poisson problems involving fractional Hardy operators and measures	4
Bundle switching in higher dimensions	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schrödinger equation	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Inverse iteration method for higher eigenvalues of the p-Laplacian	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Finite-time singularity formation for scalar stretching equations	4
The local well-posedness of the Schrödinger–KdV system in	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Microscopic patterns in the 2D phase-field-crystal model	4
Orbital and parametric normal forms for families of Hopf-zero singularity	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
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Large gap asymptotics for a generalized Bessel-determinant with root- and jump-type singularities	4
Wm-algebras and fractional powers of difference operators	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
Well-posedness for fractional reaction-diffusion systems with mass dissipation in	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Stationary soap film bridge subjected to an electrostatic force: the balanced case	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Exponential decay of the critical points in a discrete model of polyacetylene	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
Tracking complex singularities of fluids on log-lattices	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
Galton–Watson processes in dynamical environments	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
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	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
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	4
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	4
Stable standing waves for nonlinear Schrödinger–Poisson system with a doping profile	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Space-time statistical solutions of the incompressible Euler equations and Landau-Lifshitz fluctuating hydrodynamics	4
On a supercritical Hardy–Sobolev type inequality with logarithmic term and related extremal problem	4
Algebraic entropy for hex systems	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Stokes’ phenomenon in continuous limits of discrete Painlevé I	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3
Amplified steady state bifurcations in feedforward networks	3
Multi-component Hamiltonian difference operators	3
Voting models and semilinear parabolic equations	3
Existence of traveling wave solutions for density-dependent diffusion competitive systems	3
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank	3
Partial regularity for an exponential PDE in crystal surface models	3
Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation	3
Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors	3
Cramér distance and discretisations of circle expanding maps I: theory	3
Hölder regularity for collapses of point-vortices	3
Robust chaos in	3
On the structure of generic subshifts	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
Permanence of equilibrium points in the basin of attraction and existence of periodic solutions for autonomous measure differential equations and dynamic equations on time scales via generalized ODEs	3