Nonlinearity

Article	Citations
The measure transfer for subshifts induced by a morphism of free monoids	56
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	51
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	42
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	39
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*	30
Sparsity of Fourier mass of passively advected scalars in the Batchelor regime	29
Regularization for point vortices on	28
On ergodic optimisation for unimodal maps	24
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	23
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	23
Algebraic identifiability of partial differential equation models	23
Amplitude equation for N -SPDEs with cubic nonlinearity in mean field limit *	21
The structure of the toric locus of a reaction network	21
On multifractal analysis and large deviations of singular hyperbolic attractors	20
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	19
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	18
Anderson localization for the unitary almost Mathieu operator	17
Extending discrete geometric singular perturbation theory to non-hyperbolic points	17
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	17
Ahead of the Fisher–KPP front	16
Linear response due to singularities	16
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	16
Hardy inequalities for magnetic p-Laplacians	16

Transition phenomena for the attractor of an iterated function system*	16
Degenerate perturbations of infinite graph-directed iterated function systems	15
Intersections of middle-α Cantor sets with a fixed translation	15
On the ill-posedness of kinetic wave equations	15
Equilibrium states for hyperbolic potentials via inducing schemes *	14
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	13
Approximate localised dihedral patterns near a turing instability	13
Soliton synchronization with randomness: rogue waves and universality	12
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	12
On the creation of conjugate points for thermostats	12
Quenched Poisson processes for random subshifts of finite type	12
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	12
On universality for the kinetic wave equation	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
Unbounded solutions for the Muskat problem	11
Asymptotics for the noncommutative Painlevé II equation	11
Global dynamics in a Keller–Segel system with rotation and indirect signal production	10
Exponential moments for disk counting statistics of random normal matrices in the critical regime	10
Radiating solitary waves in an FPUT lattice with random coefficients	10
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	10
Characteristic approach to the soliton resolution	10
Existence and weak–strong uniqueness for damage systems in viscoelasticity	10
Simple two-layer dispersive models in the Hamiltonian reduction formalism	10
Generic reversible complex polynomial vector fields	10
Dulac maps of real saddle-nodes	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	10
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	10
On the profile of singularity formation for the incompressible hydrostatic Boussinesq system	10
From Euler–Jacobi to Bogoyavlenskij and back	10
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Bistable boundary conditions implying codimension 2 bifurcations	9
The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble	9
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	9
The Bernoulli property for counter-twisting linked twist maps	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Mean dimension of Bernstein spaces and universal real flows	9
Equilibrium measures on Julia sets of random quadratic polynomials	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
Gromov–Hausdorff variational principles and measure stability *	9
On zeros and spectral property of self-affine measures	9
L q -spectra of graph-directed planar non-conformal measures	9
Historic wandering domains near cycles	9
Critical exponents and dimension for generalised limit sets	9
Shape dynamics of N point vortices on the sphere	8
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	8
Relative periodic solutions in spatial Kepler problem with symmetric perturbation	8

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
The plasma-charge model in a convex domain	8
Global solutions to the tangential Peskin problem in 2-D	8
Normalized solutions to p-Laplacian equations with combined nonlinearities*	8
Density of periodic measures and large deviation principle for generalised mod one transformations	8
Invariant measures for stochastic conservation laws on the line	8
Regularity of the stationary density for systems with fast random switching	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
Generalized pentagram maps via Q -nets and refactorization mappings	8
Sobolev stability for the 2D MHD equations in the non-resistive limit	8
Singular Euler–Maclaurin expansion on multidimensional lattices	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Sharp interface dynamics in a minimal non-reciprocal Cahn–Hilliard system	8
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	8
Orbital stability of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity	8
λ -reduced super KP hierarchy associated to the superalgebra	7
Explicit examples of resonances for Anosov maps of the torus	7
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	7
Depinning transition of travelling waves for particle chains	7
Computational symplectic topology and symmetric orbits in the restricted three-body problem	7
Metrical properties of the large products of partial quotients in continued fractions	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	7
A multiple time renewal equation for neural assemblies with elapsed time model	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Improving the Adam optimizer using time delays	7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	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
Fast relaxation of a viscous vortex in an external flow	7
On the stability of the Hardy–Sobolev inequality involving p-Laplace	7
Assouad type dimensions of infinitely generated self-conformal sets	7
Multifractal scaling and the Euler equations on	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Time-dependent billiards, variational method, and invariant tori	7
The Zermelo navigation problem on the 2-sphere of revolution: an optimal control perspective with applications to micromagnetism	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	7
Multiplicative Diophantine approximation with restricted denominators	6
Averaging for random metastable systems	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
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Homotopical minimal measures for geodesic flows on surfaces of higher genus	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
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
Construction of quasi-periodic solutions with the same Gevrey index as nonlinear terms in multi-dimensional NLS	6
A new measure of coarseness for solutions to Cahn–Hilliard equations	6
Internal-wave billiards in trapezoids and similar tables	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
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Large travelling capillary-gravity waves for Darcy flow	6
Convex computation of maximal Lyapunov exponents	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
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
The hyperbolic umbilic singularity in fast-slow systems	6
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Critical intermittency in rational maps	5

From oxygen depletion to bacterial collapse: new perspectives on finite-time blow-up in chemotaxis models *	5
Chaotic dynamics in refraction galactic billiards	5
The uniqueness and monotonicity of incompressible jet with two fluids*	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
The twisted baker map	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	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
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Homogenization for sub-riemannian Lagrangians	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Existence and stability for the travelling waves of the Benjamin equation	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Even the vague specification property implies density of ergodic measures	5
On a variant of Hilbert’s 16th problem	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Minimal PI-systems with all points multiply minimal	5
Generalized Hardy operators	5
Infinitely many new solutions for singularly perturbed Schrödinger equations	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
Asymptotic behaviour of global vortex rings	5
Global well-posedness of 2D Euler-α equation in exterior domain	4
Frölicher–Nijenhuis geometry and integrable matrix PDE systems	4
Bialy-Mironov type rigidity for centrally symmetric symplectic billiards	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
Global higher regularity and decay estimates for positive solutions of fractional equations in	4
Spectrality of a class of infinite convolutions on	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
A model of the cubic connectedness locus	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
Weighted twisted inhomogeneous diophantine approximation	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Stokes’ phenomenon in continuous limits of discrete Painlevé I	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
The local well-posedness of the Schrödinger–KdV system in	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Stable standing waves for nonlinear Schrödinger–Poisson system with a doping profile	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Exponential decay of the critical points in a discrete model of polyacetylene	4
Non-isentropic cavity flow for the multi-d compressible Euler system	4
Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains	4
Liouville type results for the fractional truncated Laplacians in a half-space	4
Topological shadowing methods in arnold diffusion: weak torsion and multiple time scales	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Compound Poisson statistics for dynamical systems via spectral perturbation	4
Poisson problems involving fractional Hardy operators and measures	4
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	4
Well-posedness for fractional reaction-diffusion systems with mass dissipation in	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
Galton–Watson processes in dynamical environments	4
Chiral limit of twisted trilayer graphene	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Finite-time singularity formation for scalar stretching equations	4
Algebraic entropy for hex systems	4
Equivalence of Sobolev norms for Kolmogorov operators with scaling-critical drift	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Inverse iteration method for higher eigenvalues of the p-Laplacian	4
Bundle switching in higher dimensions	4
Negative Lyapunov exponents of circle maps forced by expanding circle endomorphisms	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Entropies for factor maps of amenable group actions	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Existence and nonexistence of invariant curves of coin billiards	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	4
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	4
Wm-algebras and fractional powers of difference operators	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Large gap asymptotics for a generalized Bessel-determinant with root- and jump-type singularities	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Tracking complex singularities of fluids on log-lattices	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
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Near-resonance approximation of rotating Navier–Stokes equations	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
On a supercritical Hardy–Sobolev type inequality with logarithmic term and related extremal problem	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schrödinger equation	4