Nonlinearity

Papers
(The median citation count of Nonlinearity is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-07-01 to 2025-07-01.)
ArticleCitations
Instability of closed orbits obtained by minimization*68
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection37
On the Lyapunov instability in Newtonian dynamics30
Monotonicity of entropy for real quadratic rational maps29
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations29
Quasi-graphs, zero entropy and measures with discrete spectrum28
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion28
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *25
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings22
Quenching for axisymmetric hypersurfaces under forced mean curvature flows21
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials20
Transition phenomena for the attractor of an iterated function system*20
The structure of the toric locus of a reaction network19
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence19
Extending discrete geometric singular perturbation theory to non-hyperbolic points17
Stationary coalescing walks on the lattice II: entropy17
The measure transfer for subshifts induced by a morphism of free monoids17
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation17
Hardy inequalities for magnetic p-Laplacians17
Anderson localization for the unitary almost Mathieu operator16
On multifractal analysis and large deviations of singular hyperbolic attractors16
Linear response due to singularities16
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier15
On ergodic optimisation for unimodal maps15
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system15
Algebraic identifiability of partial differential equation models14
Liquid crystal elastomers wrinkling14
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds13
Approximate localised dihedral patterns near a turing instability13
Global dynamics in a Keller–Segel system with rotation and indirect signal production13
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation12
A new convex integration approach for the compressible Euler equations and failure of the local maximal dissipation criterion12
Equilibrium states for hyperbolic potentials via inducing schemes *12
On universality for the kinetic wave equation12
Unbounded solutions for the Muskat problem12
Simple two-layer dispersive models in the Hamiltonian reduction formalism12
Topological bifurcation structure of one-parameter families of C 1 unimodal maps12
Maximisers for Strichartz inequalities on the torus12
Exponential moments for disk counting statistics of random normal matrices in the critical regime12
Superintegrability of Calogero–Moser systems associated with the cyclic quiver11
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution11
Logarithmic Schrödinger equation with quadratic potential*11
Intersections of middle-α Cantor sets with a fixed translation11
Quenched Poisson processes for random subshifts of finite type11
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*11
Ahead of the Fisher–KPP front10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence10
The strong vanishing viscosity limit with Dirichlet boundary conditions10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space10
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *10
The linear and nonlinear instability of the Akhmediev breather10
Classical n-body scattering with long-range potentials10
Weighted L 2-contractivity of Langevin dynamics with singular potentials10
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations10
Singularly perturbed boundary-equilibrium bifurcations10
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching9
Small-data global existence of solutions for the Pitaevskii model of superfluidity9
Historic wandering domains near cycles9
Density of periodic measures and large deviation principle for generalised mod one transformations9
Mean dimension of Bernstein spaces and universal real flows9
Corrigendum: Local well-posedness of the coupled Yang–Mills and Dirac system for low regularity data (2022 Nonlinearity 35 1)9
Characteristic approach to the soliton resolution9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients9
Continua and persistence of periodic orbits in ensembles of oscillators9
Local equilibrium of particle density in planar Lorentz processes9
The Bernoulli property for counter-twisting linked twist maps9
Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures *9
Explicit examples of resonances for Anosov maps of the torus8
The plasma-charge model in a convex domain8
Bistable boundary conditions implying codimension 2 bifurcations8
Gromov–Hausdorff variational principles and measure stability *8
Singular Euler–Maclaurin expansion on multidimensional lattices8
Failure of scattering for the NLSE with a point interaction in dimension two and three8
A multiple time renewal equation for neural assemblies with elapsed time model8
Global solutions to the tangential Peskin problem in 2-D8
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative8
Equilibrium measures on Julia sets of random quadratic polynomials8
Scaled pressure of continuous flows*8
L q -spectra of graph-directed planar non-conformal measures8
Flexibility and rigidity of free boundary MHD equilibria8
On real and pseudo-real rational maps *8
Energy estimates and convergence of weak solutions of the porous medium equation8
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media8
On zeros and spectral property of self-affine measures8
Dulac maps of real saddle-nodes8
Normalized solutions to p-Laplacian equations with combined nonlinearities*8
Global dynamics of an SIS epidemic model with cross-diffusion: applications to quarantine measures7
Traveling wave solutions of a class of multi-species non-cooperative reaction–diffusion systems *7
Metrical properties of the large products of partial quotients in continued fractions7
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere7
Klein–Gordon equation with mean field interaction. Orbital and asymptotic stability of solitary waves *7
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system7
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams7
Depinning transition of travelling waves for particle chains7
Time-dependent billiards, variational method, and invariant tori7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates7
Assouad type dimensions of infinitely generated self-conformal sets7
Invariant measures for stochastic conservation laws on the line7
Global well-posedness for the cubic fractional NLS on the unit disk7
Convex computation of maximal Lyapunov exponents7
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *7
Shape dynamics of N point vortices on the sphere7
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k 6
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints6
Continuity of sub-additive topological pressure with matrix cocycles *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
The uniqueness and monotonicity of incompressible jet with two fluids*6
Infinitely many new solutions for singularly perturbed Schrödinger equations6
Relative equilibria of mechanical systems with rotational symmetry6
Instability in large bounded domains—branched versus unbranched resonances6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems6
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions6
The hyperbolic umbilic singularity in fast-slow systems6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions6
The inverse scattering transform for weak Wigner–von Neumann type potentials *6
Computational symplectic topology and symmetric orbits in the restricted three-body problem6
Linear and fractional response for nonlinear dissipative SPDEs6
Infinitely many localized semiclassical states for critical nonlinear Dirac equations6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics6
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions6
Integrable magnetic geodesic flows on 2-surfaces *6
On the structure of periodic eigenvalues of the vectorial p-Laplacian6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation6
Dihedral rings of patterns emerging from a Turing bifurcation6
Internal-wave billiards in trapezoids and similar tables6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*6
Sharp bounds on enstrophy growth for viscous scalar conservation laws6
Homogenization for sub-riemannian Lagrangians5
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics5
Exactly self-similar blow-up of the generalized De Gregorio equation5
Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*5
Stability threshold of Couette flow for 2D MHD equations in the Sobolev space5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials5
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*5
Existence of bounded solutions for a non-periodic sublinear equation with an obstacle*5
Asymptotic behavior of a semilinear non-autonomous wave equation with distributed delay and analytic nonlinearity5
Stability and optimal decay for a system of 3D anisotropic Boussinesq equations5
Locating Ruelle–Pollicott resonances*5
Almost sure scattering at mass regularity for radial Schrödinger equations5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation5
On the Cauchy problem for the Hartree approximation in quantum dynamics5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies5
A local pointwise inequality for a biharmonic equation with negative exponents5
Asymptotic behaviour of global vortex rings5
Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents5
Elementary catastrophes underlying bifurcations of vector fields and PDEs5
Remarks on sparseness and regularity of Navier–Stokes solutions5
Liouville type results for the fractional truncated Laplacians in a half-space5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*5
Elementary fractal geometry. 5. Weak separation is strong separation5
Multiplicative Diophantine approximation with restricted denominators5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries5
Derivation of the fractional porous medium equation from a microscopic dynamics5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction5
Existence and stability for the travelling waves of the Benjamin equation5
Chaotic dynamics in refraction galactic billiards5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential5
Singular solutions for the conformal Dirac–Einstein problem on the sphere5
Critical intermittency in rational maps5
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise5
Soliton solutions of the nonlinear Schrödinger equation with defect conditions5
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam5
Generalized Hardy operators5
On global dynamics of type-K competitive Kolmogorov differential systems5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations5
Spectrality of a class of infinite convolutions on R *5
Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects*5
The twisted baker map5
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*5
On a variant of Hilbert’s 16th problem5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system5
Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary4
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains4
Near-resonance approximation of rotating Navier–Stokes equations4
Wm-algebras and fractional powers of difference operators4
Multifractal analysis in non-uniformly hyperbolic interval maps4
Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)4
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics4
Finite-time singularity formation for scalar stretching equations4
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers 4
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density4
Effects of impulsive harvesting and an evolving domain in a diffusive logistic model*4
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation4
Soft congestion approximation to the one-dimensional constrained Euler equations4
Microscopic patterns in the 2D phase-field-crystal model4
Weighted twisted inhomogeneous diophantine approximation4
Orbital and parametric normal forms for families of Hopf-zero singularity4
Global well-posedness of 2D Euler-α equation in exterior domain4
Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system4
Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism4
On the Schrödinger map for regular helical polygons in the hyperbolic space4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations4
New Hausdorff-type dimensions and optimal bounds for bilipschitz invariant dimensions*4
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence4
Miura-reciprocal transformations and localizable Poisson pencils4
Chiral limit of twisted trilayer graphene4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching4
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *4
Genericity of historic behavior for maps and flows4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy4
Poisson problems involving fractional Hardy operators and measures4
Algebraic entropy for hex systems4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models4
A model of the cubic connectedness locus4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations4
On the vorticity direction and the regularity of 3D Navier–Stokes equations4
On the structure of generic subshifts3
On the group of isometries of planar IFS fractals*3
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank3
On non-contractible periodic orbits and bounded deviations3
Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation3
Finite switching near heteroclinic networks3
Cramér distance and discretisations of circle expanding maps I: theory3
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations3
Geodesic scattering on hyperboloids and Knörrer’s map3
Optimal enhanced dissipation for contact Anosov flows3
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation3
Existence and decay of mild solutions to fractional dissipative quasi-geostrophic type equations on 3
Some existence results for the Brinkman-Fourier system3
Amplified steady state bifurcations in feedforward networks3
Existence of traveling wave solutions for density-dependent diffusion competitive systems3
Periodic orbits in the Ott–Antonsen manifold3
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