Nonlinearity

Article	Citations
Instability of closed orbits obtained by minimization*	66
Stationary coalescing walks on the lattice II: entropy	37
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	29
Algebraic identifiability of partial differential equation models	28
On the Lyapunov instability in Newtonian dynamics	27
Anderson localization for the unitary almost Mathieu operator	27
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	26
Spectral properties of pattern sequences of general degrees	25
Monotonicity of entropy for real quadratic rational maps	24
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	23
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	21
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	20
Quasi-graphs, zero entropy and measures with discrete spectrum	20
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	20
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	19
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	19
Transition phenomena for the attractor of an iterated function system*	18
The structure of the toric locus of a reaction network	18
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	17
Extending discrete geometric singular perturbation theory to non-hyperbolic points	17
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	16
Liquid crystal elastomers wrinkling	16
The measure transfer for subshifts induced by a morphism of free monoids	16
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	16
Linear response due to singularities	15

On multifractal analysis and large deviations of singular hyperbolic attractors	15
Approximate localised dihedral patterns near a turing instability	15
Hardy inequalities for magnetic p-Laplacians	15
Global dynamics in a Keller–Segel system with rotation and indirect signal production	15
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	15
On universality for the kinetic wave equation	14
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	14
Unbounded solutions for the Muskat problem	14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	14
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	13
Equilibrium states for maps isotopic to Anosov	13
Weighted L 2-contractivity of Langevin dynamics with singular potentials	13
Variational methods for breather solutions of nonlinear wave equations	13
Exponential moments for disk counting statistics of random normal matrices in the critical regime	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	12
On mix-norms and the rate of decay of correlations	12
Maximisers for Strichartz inequalities on the torus	12
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion	12
Equilibrium states for hyperbolic potentials via inducing schemes *	12
Superintegrability of Calogero–Moser systems associated with the cyclic quiver	11
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*	11
Classical n-body scattering with long-range potentials	11
Intersections of middle-α Cantor sets with a fixed translation	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	11
Quenched Poisson processes for random subshifts of finite type	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	11
Logarithmic Schrödinger equation with quadratic potential*	11
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Ahead of the Fisher–KPP front	10
Normalized solutions to p-Laplacian equations with combined nonlinearities*	10
Singular Euler–Maclaurin expansion on multidimensional lattices	10
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	10
Existence of solutions for the surface electromigration equation	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
The Bernoulli property for counter-twisting linked twist maps	10
Mean dimension of Bernstein spaces and universal real flows	10
Singularly perturbed boundary-equilibrium bifurcations	10
Ground states for fractional linear coupled systems via profile decomposition *	10
The linear and nonlinear instability of the Akhmediev breather	10
Equilibrium measures on Julia sets of random quadratic polynomials	10
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	10
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)	9
Flexibility and rigidity of free boundary MHD equilibria	9
Small-data global existence of solutions for the Pitaevskii model of superfluidity	9
Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type	9
Characteristic approach to the soliton resolution	9
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	9

Continua and persistence of periodic orbits in ensembles of oscillators	9
Historic wandering domains near cycles	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Local equilibrium of particle density in planar Lorentz processes	9
Explicit examples of resonances for Anosov maps of the torus	8
Periodic travelling waves on damped 2D lattices with oscillating external forces *	8
The plasma-charge model in a convex domain	8
Density of periodic measures and large deviation principle for generalised mod one transformations	8
Gromov–Hausdorff variational principles and measure stability *	8
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	8
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	8
Failure of scattering for the NLSE with a point interaction in dimension two and three	8
A multiple time renewal equation for neural assemblies with elapsed time model	8
Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures *	8
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	8
L q -spectra of graph-directed planar non-conformal measures	8
On zeros and spectral property of self-affine measures	8
Dulac maps of real saddle-nodes	8
On real and pseudo-real rational maps *	8
Energy estimates and convergence of weak solutions of the porous medium equation	8
Global solutions to the tangential Peskin problem in 2-D	8
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *	8
Scaled pressure of continuous flows*	8
Bistable boundary conditions implying codimension 2 bifurcations	8
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *	7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system	7
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures	7
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	7
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	7
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	7
Continuity of sub-additive topological pressure with matrix cocycles *	7
Depinning transition of travelling waves for particle chains	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Shape dynamics of N point vortices on the sphere	7
Assouad type dimensions of infinitely generated self-conformal sets	7
Convex computation of maximal Lyapunov exponents	7
Infinitely many localized semiclassical states for critical nonlinear Dirac equations	7
Integrable magnetic geodesic flows on 2-surfaces *	7
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	7
Invariant measures for stochastic conservation laws on the line	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams	7
Metrical properties of the large products of partial quotients in continued fractions	7
Time-dependent billiards, variational method, and invariant tori	7
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	7
Internal-wave billiards in trapezoids and similar tables	7
Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube	6
Relative equilibria of mechanical systems with rotational symmetry	6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	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 uniqueness and monotonicity of incompressible jet with two fluids*	6
Extreme first passage times of piecewise deterministic Markov processes	6
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence*	6
Estimating the most probable transition time for stochastic dynamical systems	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
Linear and fractional response for nonlinear dissipative SPDEs	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
The hyperbolic umbilic singularity in fast-slow systems	6
Instability in large bounded domains—branched versus unbranched resonances	6
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Computability of topological pressure on compact shift spaces beyond finite type*	6
Asymptotic estimates for an integral equation in theory of phase transition	6
The inverse scattering transform for weak Wigner–von Neumann type potentials *	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Local well-posedness of the compressible FENE dumbbell model of Warner type	6
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	6
A local pointwise inequality for a biharmonic equation with negative exponents	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*	6
Soliton solutions of the nonlinear Schrödinger equation with defect conditions	5
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	5
On global dynamics of type-K competitive Kolmogorov differential systems	5

Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5
Existence and stability for the travelling waves of the Benjamin equation	5
Homogenization for sub-riemannian Lagrangians	5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Generalized Hardy operators	5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*	5
Locating Ruelle–Pollicott resonances*	5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data	5
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Spectrality of a class of infinite convolutions on R *	5
Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains	5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity	5
Critical intermittency in rational maps	5
Method of nose stretching in Newton’s problem of minimal resistance	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Singular solutions for the conformal Dirac–Einstein problem on the sphere	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
Derivation of the fractional porous medium equation from a microscopic dynamics	5
Chaotic dynamics in refraction galactic billiards	5
Asymptotic behaviour of global vortex rings	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
Stability and optimal decay for a system of 3D anisotropic Boussinesq equations	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
On a variant of Hilbert’s 16th problem	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
The twisted baker map	5
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Chiral limit of twisted trilayer graphene	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
Soft congestion approximation to the one-dimensional constrained Euler equations	4
On a probabilistic model for martensitic avalanches incorporating mechanical compatibility	4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary	4
On the elliptic sinh–Gordon equation with integrable boundary conditions *	4
Microscopic patterns in the 2D phase-field-crystal model	4
Multifractal analysis in non-uniformly hyperbolic interval maps	4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)	4
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment *	4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow	4
Miura-reciprocal transformations and localizable Poisson pencils	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Global well-posedness of 2D Euler-α equation in exterior domain	4
The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system	4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism	4
Genericity of historic behavior for maps and flows	4
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
Conditional variational principles of conditional entropies for amenable group actions *	4
Wm-algebras and fractional powers of difference operators	4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Algebraic entropy for hex systems	4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers	4
Poisson problems involving fractional Hardy operators and measures	4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime	4
Weighted twisted inhomogeneous diophantine approximation	4
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank	3
Consistent spectral approximation of Koopman operators using resolvent compactification	3
Estimating rate-induced tipping via asymptotic series and a Melnikov-like method*	3
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation	3
Optimal enhanced dissipation for contact Anosov flows	3
On a stochastic generalized delayed SIR model with vaccination and treatment	3
Nonlinear Rayleigh–Taylor instability of inhomogeneous incompressible geophysical fluids with partial dissipation	3
On non-contractible periodic orbits and bounded deviations	3
Periodic orbits in the Ott–Antonsen manifold	3
High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure	3