Nonlinearity

Article	Citations
The measure transfer for subshifts induced by a morphism of free monoids	61
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	55
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	50
Instability of closed orbits obtained by minimization*	36
Sparsity of Fourier mass of passively advected scalars in the Batchelor regime	36
On ergodic optimisation for unimodal maps	32
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	31
Algebraic identifiability of partial differential equation models	30
Transition phenomena for the attractor of an iterated function system*	29
Hardy inequalities for magnetic p-Laplacians	26
Extending discrete geometric singular perturbation theory to non-hyperbolic points	26
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	25
On multifractal analysis and large deviations of singular hyperbolic attractors	23
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	22
Anderson localization for the unitary almost Mathieu operator	20
Linear response due to singularities	20
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	20
The structure of the toric locus of a reaction network	18
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	17
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	17
Amplitude equation for N -SPDEs with cubic nonlinearity in mean field limit *	17
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	15
Stability of the 3D Navier–Stokes equations with anisotropic dissipation	15
Regularization for point vortices on	15
Degenerate perturbations of infinite graph-directed iterated function systems	13

On the creation of conjugate points for thermostats	13
Intersections of middle-α Cantor sets with a fixed translation	13
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	13
Ahead of the Fisher–KPP front	13
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	12
Asymptotics for the noncommutative Painlevé II equation	12
Soliton synchronization with randomness: rogue waves and universality	12
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	12
Unbounded solutions for the Muskat problem	12
On the profile of singularity formation for the incompressible hydrostatic Boussinesq system	12
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	11
Generic reversible complex polynomial vector fields	11
Radiating solitary waves in an FPUT lattice with random coefficients	11
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	11
Simple two-layer dispersive models in the Hamiltonian reduction formalism	11
Existence and weak–strong uniqueness for damage systems in viscoelasticity	11
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	11
Global dynamics in a Keller–Segel system with rotation and indirect signal production	11
On the ill-posedness of kinetic wave equations	11
Dulac maps of real saddle-nodes	10
The Bernoulli property for counter-twisting linked twist maps	10
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	10
Approximate localised dihedral patterns near a turing instability	10
On universality for the kinetic wave equation	10
Critical exponents and dimension for generalised limit sets	10
Small-data global existence of solutions for the Pitaevskii model of superfluidity	10
Exponential moments for disk counting statistics of random normal matrices in the critical regime	10
Equilibrium states for hyperbolic potentials via inducing schemes *	10
Formation of clusters and coarsening in weakly interacting diffusions	10
Normalized solutions to p-Laplacian equations with combined nonlinearities*	10
Global solutions to the tangential Peskin problem in 2-D	10
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	10
On geometric hydrodynamics and infinite–dimensional magnetic systems	10
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	10
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	10
Continua and persistence of periodic orbits in ensembles of oscillators	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
L q -spectra of graph-directed planar non-conformal measures	9
On zeros and spectral property of self-affine measures	9
Gromov–Hausdorff variational principles and measure stability *	9
Bistable boundary conditions implying codimension 2 bifurcations	9
From Euler–Jacobi to Bogoyavlenskij and back	9
Equilibrium measures on Julia sets of random quadratic polynomials	9
Mean dimension of Bernstein spaces and universal real flows	9
Relative periodic solutions in spatial Kepler problem with symmetric perturbation	9
On spatial decay for coherent states of the Benjamin–Ono equation	9
Orbital stability of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity	8
Multifractal scaling and the Euler equations on	8

Depinning transition of travelling waves for particle chains	8
Regularity of the stationary density for systems with fast random switching	8
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
Sobolev stability for the 2D MHD equations in the non-resistive limit	8
Contact geometry of the restricted three-body problem on	8
The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble	8
Sharp interface dynamics in a minimal non-reciprocal Cahn–Hilliard system	8
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	8
Assouad type dimensions of infinitely generated self-conformal sets	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
Shape dynamics of N point vortices on the sphere	8
Generalized pentagram maps via Q -nets and refactorization mappings	8
The plasma-charge model in a convex domain	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
Explicit examples of resonances for Anosov maps of the torus	8
A multiple time renewal equation for neural assemblies with elapsed time model	8
Invariant measures for stochastic conservation laws on the line	8
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	8
Density of periodic measures and large deviation principle for generalised mod one transformations	8
On the stability of the Hardy–Sobolev inequality involving p-Laplace	7
Improving the Adam optimizer using time delays	7
The Zermelo navigation problem on the 2-sphere of revolution: an optimal control perspective with applications to micromagnetism	7
Mathematical theory of transverse-magnetic guided waves in a plane waveguide filled with nonhomogeneous nonlinear medium	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
λ -reduced super KP hierarchy associated to the superalgebra	7
Fast relaxation of a viscous vortex in an external flow	7
Asymptotic behavior toward viscous shock for the outflow problem of barotropic Navier–Stokes equations	7
A new measure of coarseness for solutions to Cahn–Hilliard equations	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Dark breathers in the sinh-Gordon equation on an oscillatory wave background	7
Metrical properties of the large products of partial quotients in continued fractions	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Failure of scattering for the NLSE with a point interaction in dimension two and three	7
Internal-wave billiards in trapezoids and similar tables	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Homotopical minimal measures for geodesic flows on surfaces of higher genus	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
On the Cauchy problem for the Hartree approximation in quantum dynamics	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Multiplicative Diophantine approximation with restricted denominators	6
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	6
Surface quasi-geostrophic equations forced by random noise: prescribed energy and non-unique Markov selections	6
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	6
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
A local pointwise inequality for a biharmonic equation with negative exponents	6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	6
Zero-electron-mass limit for a two-fluid Euler–Poisson system for general initial data	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
Minimal PI-systems with all points multiply minimal	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Integrable magnetic geodesic flows on 2-surfaces *	6
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	6
Relative equilibria of mechanical systems with rotational symmetry	6
On a variant of Hilbert’s 16th problem	6
Invariant measures and their limiting behaviour of the Landau-Lifshitz-Bloch equation in unbounded domains	6
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	6
The hyperbolic umbilic singularity in fast-slow systems	6
Large travelling capillary-gravity waves for Darcy flow	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
Time-dependent billiards, variational method, and invariant tori	6
Even the vague specification property implies density of ergodic measures	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Construction of quasi-periodic solutions with the same Gevrey index as nonlinear terms in multi-dimensional NLS	6
Convex computation of maximal Lyapunov exponents	6
Liouville type results for the fractional truncated Laplacians in a half-space	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Most Fatou and Julia components are small for polynomials	5

A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Averaging for random metastable systems	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5
Dihedral rings of patterns emerging from a Turing bifurcation	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Spectrality of a class of infinite convolutions on	5
The twisted baker map	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Chaotic dynamics in refraction galactic billiards	5
Existence and stability for the travelling waves of the Benjamin equation	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
A scaling limit for Vlasov equations with electrostatic fluctuations	5
Homogenization for sub-riemannian Lagrangians	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Symbolic dynamics and topological entropy in two-parameter tent maps—necessary and sufficient conditions for periodic orbits via kneading sequences and renormalisation	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Infinitely many new solutions for singularly perturbed Schrödinger equations	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Compound Poisson statistics for dynamical systems via spectral perturbation	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Critical intermittency in rational maps	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
From oxygen depletion to bacterial collapse: new perspectives on finite-time blow-up in chemotaxis models *	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	5
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Generalized Hardy operators	5
Derivation of the fractional porous medium equation from a microscopic dynamics	5
Concentration inequalities for random dynamical systems *	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	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
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
On a supercritical Hardy–Sobolev type inequality with logarithmic term and related extremal problem	4
Chiral limit of twisted trilayer graphene	4
Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains	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
Non-isentropic cavity flow for the multi-d compressible Euler system	4
Inverse iteration method for higher eigenvalues of the p-Laplacian	4
Classical solutions for a van Roosbroeck–Helmholtz model for a semiconductor laser diode	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Large gap asymptotics for a generalized Bessel-determinant with root- and jump-type singularities	4
Equivalence of Sobolev norms for Kolmogorov operators with scaling-critical drift	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Weighted twisted inhomogeneous diophantine approximation	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
The local well-posedness of the Schrödinger–KdV system in	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Tracking complex singularities of fluids on log-lattices	4
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schrödinger equation	4
Bundle switching in higher dimensions	4
Entropies for factor maps of amenable group actions	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Exponential decay of the critical points in a discrete model of polyacetylene	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
Galton–Watson processes in dynamical environments	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
Stokes’ phenomenon in continuous limits of discrete Painlevé I	4
Poisson problems involving fractional Hardy operators and measures	4
Wm-algebras and fractional powers of difference operators	4
Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Stable standing waves for nonlinear Schrödinger–Poisson system with a doping profile	4
Finite-time singularity formation for scalar stretching equations	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	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
Global higher regularity and decay estimates for positive solutions of fractional equations in	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Frölicher–Nijenhuis geometry and integrable matrix PDE systems	4
Orbital stability of optical solitons in 2D	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Algebraic entropy for hex systems	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
A model of the cubic connectedness locus	4
Stationary soap film bridge subjected to an electrostatic force: the balanced case	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Spectral properties and asymptotic behaviours for the relativistic kinetic Fokker–Planck equation	4