Nonlinearity

Article	Citations
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	75
The measure transfer for subshifts induced by a morphism of free monoids	42
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	37
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	37
Anderson localization for the unitary almost Mathieu operator	33
Linear response due to singularities	31
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	31
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	31
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	23
Stability of the 3D Navier–Stokes equations with anisotropic dissipation	23
Quasi-graphs, zero entropy and measures with discrete spectrum	20
On multifractal analysis and large deviations of singular hyperbolic attractors	20
Extending discrete geometric singular perturbation theory to non-hyperbolic points	19
Instability of closed orbits obtained by minimization*	18
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	18
Hardy inequalities for magnetic p-Laplacians	18
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	17
On ergodic optimisation for unimodal maps	17
Transition phenomena for the attractor of an iterated function system*	17
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	16
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	16
Algebraic identifiability of partial differential equation models	16
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	15
The structure of the toric locus of a reaction network	15
Unbounded solutions for the Muskat problem	15

Logarithmic Schrödinger equation with quadratic potential*	15
Exponential moments for disk counting statistics of random normal matrices in the critical regime	15
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	15
Ahead of the Fisher–KPP front	14
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	13
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	13
Intersections of middle-α Cantor sets with a fixed translation	13
Approximate localised dihedral patterns near a turing instability	13
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	13
Equilibrium states for hyperbolic potentials via inducing schemes *	13
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	13
On universality for the kinetic wave equation	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
Maximisers for Strichartz inequalities on the torus	12
Global dynamics in a Keller–Segel system with rotation and indirect signal production	12
Weighted L 2-contractivity of Langevin dynamics with singular potentials	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
On zeros and spectral property of self-affine measures	11
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	11
Inertial momentum dissipation for viscosity solutions of Euler equations: external flow around a smooth body	11
Dulac maps of real saddle-nodes	11
The Bernoulli property for counter-twisting linked twist maps	11
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	11
The linear and nonlinear instability of the Akhmediev breather	11
Small-data global existence of solutions for the Pitaevskii model of superfluidity	11
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
Global solutions to the tangential Peskin problem in 2-D	10
Equilibrium measures on Julia sets of random quadratic polynomials	10
L q -spectra of graph-directed planar non-conformal measures	10
Gromov–Hausdorff variational principles and measure stability *	10
Characteristic approach to the soliton resolution	10
Density of periodic measures and large deviation principle for generalised mod one transformations	10
Continua and persistence of periodic orbits in ensembles of oscillators	10
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	9
Flexibility and rigidity of free boundary MHD equilibria	9
Historic wandering domains near cycles	9
The strong vanishing viscosity limit with Dirichlet boundary conditions	9
Normalized solutions to p-Laplacian equations with combined nonlinearities*	9
Sobolev stability for the 2D MHD equations in the non-resistive limit	9
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	9
The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble	9
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
Singular Euler–Maclaurin expansion on multidimensional lattices	9
Bistable boundary conditions implying codimension 2 bifurcations	9
Mean dimension of Bernstein spaces and universal real flows	9
Shape dynamics of N point vortices on the sphere	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Explicit examples of resonances for Anosov maps of the torus	8

Assouad type dimensions of infinitely generated self-conformal sets	8
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	8
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	8
Regularity of the stationary density for systems with fast random switching	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
Depinning transition of travelling waves for particle chains	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
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
A multiple time renewal equation for neural assemblies with elapsed time model	8
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	8
Improving the Adam optimizer using time delays	8
Invariant measures for stochastic conservation laws on the line	8
On the stability of the Hardy–Sobolev inequality involving p-Laplace	8
Metrical properties of the large products of partial quotients in continued fractions	7
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Computational symplectic topology and symmetric orbits in the restricted three-body problem	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
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	7
Convex computation of maximal Lyapunov exponents	7
Homotopical minimal measures for geodesic flows on surfaces of higher genus	7
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	7
Failure of scattering for the NLSE with a point interaction in dimension two and three	7
Time-dependent billiards, variational method, and invariant tori	7
Linear and fractional response for nonlinear dissipative SPDEs	7
Internal-wave billiards in trapezoids and similar tables	7
The inverse scattering transform for weak Wigner–von Neumann type potentials *	7
Computability of topological pressure on compact shift spaces beyond finite type*	7
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Scale invariant bounds for the Kelvin–Helmholtz instability*	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Sharp bounds on enstrophy growth for viscous scalar conservation laws	7
Multiplicative Diophantine approximation with restricted denominators	6
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	6
The uniqueness and monotonicity of incompressible jet with two fluids*	6
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	6
Relative equilibria of mechanical systems with rotational symmetry	6
Singular solutions for the conformal Dirac–Einstein problem on the sphere	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	6
On global dynamics of type-K competitive Kolmogorov differential systems	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
Infinitely many new solutions for singularly perturbed Schrödinger equations	6
The hyperbolic umbilic singularity in fast-slow systems	6
Large-parameter asymptotics of generalized Hastings–McLeod functions	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Continuity of sub-additive topological pressure with matrix cocycles *	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	6
Derivation of the fractional porous medium equation from a microscopic dynamics	6
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	6
Integrable magnetic geodesic flows on 2-surfaces *	6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	6
On a variant of Hilbert’s 16th problem	6
Homogenization for sub-riemannian Lagrangians	5
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
Asymptotic behaviour of global vortex rings	5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Spectrality of a class of infinite convolutions on	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Periodic localised traveling waves in the two-dimensional suspension bridge equation	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
Liouville type results for the fractional truncated Laplacians in a half-space	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5

Critical intermittency in rational maps	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Locating Ruelle–Pollicott resonances*	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Whiskered quasi-periodic breathers for nonlinear Klein–Gordon chains with tangent potential	5
The twisted baker map	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
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Compound Poisson statistics for dynamical systems via spectral perturbation	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
A quantitative closing lemma and partner orbits on Riemannian manifolds with negative curvature*	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Enhanced dissipation, Taylor dispersion, and inviscid damping of Couette flow in the Boussinesq system on the plane	5
A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity	5
Generalized Hardy operators	5
Existence and stability for the travelling waves of the Benjamin equation	5
Chaotic dynamics in refraction galactic billiards	5
Trait-structured chemotaxis: exploring ligand-receptor dynamics and travelling wave properties in a Keller–Segel model	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Averaging for random metastable systems	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
Elementary fractal geometry. 5. Weak separation is strong separation	5
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Charged particle motion in a strong magnetic field: applications to plasma confinement	4
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	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
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
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Tracking complex singularities of fluids on log-lattices	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Bundle switching in higher dimensions	4
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Stationary soap film bridge subjected to an electrostatic force: the balanced case	4
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	4
Space-time statistical solutions of the incompressible Euler equations and Landau-Lifshitz fluctuating hydrodynamics	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
Multifractal analysis in non-uniformly hyperbolic interval maps	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Microscopic patterns in the 2D phase-field-crystal model	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Weighted twisted inhomogeneous diophantine approximation	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Chiral limit of twisted trilayer graphene	4
Concave–convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions*	4
Wm-algebras and fractional powers of difference operators	4
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	4
Miura-reciprocal transformations and localizable Poisson pencils	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
Critical curve for a two-species chemotaxis model with two chemicals in	4
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Finite-time singularity formation for scalar stretching equations	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
A model of the cubic connectedness locus	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line	3
On spectral structure and spectral eigenvalue problems for a class of self similar spectral measure with product form	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3
Existence of traveling wave solutions for density-dependent diffusion competitive systems	3
Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors	3
Lyapunov–Schmidt bifurcation analysis of a supported compressible elastic beam	3
Robust chaos in	3
Hölder regularity for collapses of point-vortices	3
Joint moments of higher order derivatives of CUE characteristic polynomials II: structures, recursive relations, and applications	3
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation	3
Cramér distance and discretisations of circle expanding maps I: theory	3
Nonlinear Rayleigh–Taylor instability of inhomogeneous incompressible geophysical fluids with partial dissipation	3
Some existence results for the Brinkman-Fourier system	3
On non-contractible periodic orbits and bounded deviations	3
Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*	3
Internal ring waves in a three-layer fluid on a current with a constant vertical shear	3