Nonlinearity

Article	Citations
Instability of closed orbits obtained by minimization*	68
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh–Bénard convection	37
On the Lyapunov instability in Newtonian dynamics	30
Monotonicity of entropy for real quadratic rational maps	29
On uniqueness properties of solutions of the generalized fourth-order Schrödinger equations	29
Quasi-graphs, zero entropy and measures with discrete spectrum	28
Modeling the interplay of oscillatory synchronization and aggregation via cell–cell adhesion	28
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *	25
Absence of absolutely continuous diffraction spectrum for certain S-adic tilings	22
Quenching for axisymmetric hypersurfaces under forced mean curvature flows	21
Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials	20
Transition phenomena for the attractor of an iterated function system*	20
The structure of the toric locus of a reaction network	19
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs: II. Dynamical correspondence	19
Extending discrete geometric singular perturbation theory to non-hyperbolic points	17
Stationary coalescing walks on the lattice II: entropy	17
The measure transfer for subshifts induced by a morphism of free monoids	17
Stratonovich–Khasminskii averaging principle for multiscale random Korteweg–de Vries-Burgers equation	17
Hardy inequalities for magnetic p-Laplacians	17
Anderson localization for the unitary almost Mathieu operator	16
On multifractal analysis and large deviations of singular hyperbolic attractors	16
Linear response due to singularities	16
Maxwell–Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier	15
On ergodic optimisation for unimodal maps	15
Convergence of stochastic 2D inviscid Boussinesq equations with transport noise to a deterministic viscous system	15

Algebraic identifiability of partial differential equation models	14
Liquid crystal elastomers wrinkling	14
Global dynamics of a reaction-diffusion brucellosis model with spatiotemporal heterogeneity and nonlocal delay	14
Integrable hierarchies, Frölicher–Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds	13
Approximate localised dihedral patterns near a turing instability	13
Global dynamics in a Keller–Segel system with rotation and indirect signal production	13
A note on cascade flux laws for the stochastically-driven nonlinear Schrödinger equation	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
On universality for the kinetic wave equation	12
Unbounded solutions for the Muskat problem	12
Simple two-layer dispersive models in the Hamiltonian reduction formalism	12
Topological bifurcation structure of one-parameter families of C 1 unimodal maps	12
Maximisers for Strichartz inequalities on the torus	12
Exponential moments for disk counting statistics of random normal matrices in the critical regime	12
Superintegrability of Calogero–Moser systems associated with the cyclic quiver	11
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part	11
Prevention of infinite-time blowup by slightly super-linear degradation in a Keller–Segel system with density-suppressed motility	11
On the characterisation of fragmented Bose–Einstein condensation and its emergent effective evolution	11
Logarithmic Schrödinger equation with quadratic potential*	11
Intersections of middle-α Cantor sets with a fixed translation	11
Quenched Poisson processes for random subshifts of finite type	11
Weak–strong uniqueness property for models of compressible viscous fluids near vacuum*	11
Ahead of the Fisher–KPP front	10
Reaction–diffusion model for a population structured in phenotype and space: I. Criterion for persistence	10
The strong vanishing viscosity limit with Dirichlet boundary conditions	10
Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space	10
Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems *	10
The linear and nonlinear instability of the Akhmediev breather	10
Classical n-body scattering with long-range potentials	10
Weighted L 2-contractivity of Langevin dynamics with singular potentials	10
New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations	10
Singularly perturbed boundary-equilibrium bifurcations	10
Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching	9
Small-data global existence of solutions for the Pitaevskii model of superfluidity	9
Historic wandering domains near cycles	9
Density of periodic measures and large deviation principle for generalised mod one transformations	9
Mean dimension of Bernstein spaces and universal real flows	9
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 resolution	9
Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients	9
Continua and persistence of periodic orbits in ensembles of oscillators	9
Local equilibrium of particle density in planar Lorentz processes	9
The Bernoulli property for counter-twisting linked twist maps	9
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 torus	8
The plasma-charge model in a convex domain	8
Bistable boundary conditions implying codimension 2 bifurcations	8
Gromov–Hausdorff variational principles and measure stability *	8
Singular Euler–Maclaurin expansion on multidimensional lattices	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
Global solutions to the tangential Peskin problem in 2-D	8
Global well-posedness of 3D inhomogeneous Navier–Stokes system with small unidirectional derivative	8
Equilibrium measures on Julia sets of random quadratic polynomials	8
Scaled pressure of continuous flows*	8
L q -spectra of graph-directed planar non-conformal measures	8
Flexibility and rigidity of free boundary MHD equilibria	8
On real and pseudo-real rational maps *	8
Energy estimates and convergence of weak solutions of the porous medium equation	8
Travelling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media	8
On zeros and spectral property of self-affine measures	8
Dulac maps of real saddle-nodes	8
Normalized solutions to p-Laplacian equations with combined nonlinearities*	8
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
Metrical properties of the large products of partial quotients in continued fractions	7
Equivalence of rigid motions and relative equilibria in the N-body problem on the two-sphere	7
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 system	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
Time-dependent billiards, variational method, and invariant tori	7
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis	7
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates	7
Assouad type dimensions of infinitely generated self-conformal sets	7
Invariant measures for stochastic conservation laws on the line	7
Global well-posedness for the cubic fractional NLS on the unit disk	7
Convex computation of maximal Lyapunov exponents	7
Uniqueness of Denjoy minimal sets for twist maps with zero entropy *	7
Shape dynamics of N point vortices on the sphere	7
Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of S k	6
Gelfand–Dickey hierarchy, generalized BGW tau-function, and W-constraints	6
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 equations	6
Relative equilibria of mechanical systems with rotational symmetry	6
Instability in large bounded domains—branched versus unbranched resonances	6
Full asymptotic expansion of monodromy data for the first Painlevé transcendent: applications to connection problems	6
Lax matrices for lattice equations which satisfy consistency-around-a-face-centered-cube	6
Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres	6
Long time existence of the non-isentropic slightly compressible Navier-Stokes equations with boundary conditions	6
The incompressible Navier–Stokes limit from the discrete-velocity BGK Boltzmann equation	6
Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves	6
Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions	6
The hyperbolic umbilic singularity in fast-slow systems	6
Multi-valued perturbations on stochastic evolution equations driven by fractional Brownian motions	6
The inverse scattering transform for weak Wigner–von Neumann type potentials *	6
Computational symplectic topology and symmetric orbits in the restricted three-body problem	6
Linear and fractional response for nonlinear dissipative SPDEs	6
Infinitely many localized semiclassical states for critical nonlinear Dirac equations	6
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics	6
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions	6
Integrable magnetic geodesic flows on 2-surfaces *	6
On the structure of periodic eigenvalues of the vectorial p-Laplacian	6
Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	6
Dihedral rings of patterns emerging from a Turing bifurcation	6
Internal-wave billiards in trapezoids and similar tables	6
Global dynamics of a nonlocal non-uniformly parabolic equation arising from the curvature flow*	6
Sharp bounds on enstrophy growth for viscous scalar conservation laws	6
Homogenization for sub-riemannian Lagrangians	5
Genuine nonlinearity and its connection to the modified Korteweg–de Vries equation in phase dynamics	5
Exactly self-similar blow-up of the generalized De Gregorio equation	5
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 space	5
Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials	5
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 nonlinearity	5
Stability and optimal decay for a system of 3D anisotropic Boussinesq equations	5
Locating Ruelle–Pollicott resonances*	5
Almost sure scattering at mass regularity for radial Schrödinger equations	5
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity	5
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation	5
On the Cauchy problem for the Hartree approximation in quantum dynamics	5
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies	5
A local pointwise inequality for a biharmonic equation with negative exponents	5
Asymptotic behaviour of global vortex rings	5

Segregated solutions for a nonlinear Schrödinger system involving mass supercritical exponents	5
Elementary catastrophes underlying bifurcations of vector fields and PDEs	5
Remarks on sparseness and regularity of Navier–Stokes solutions	5
Liouville type results for the fractional truncated Laplacians in a half-space	5
Analytic weak-stable manifolds in unfoldings of saddle-nodes*	5
Elementary fractal geometry. 5. Weak separation is strong separation	5
Multiplicative Diophantine approximation with restricted denominators	5
Matrix-valued θ-deformed bi-orthogonal polynomials, non-commutative Toda theory and Bäcklund transformation	5
Bounds on buoyancy driven flows with Navier-slip conditions on rough boundaries	5
Derivation of the fractional porous medium equation from a microscopic dynamics	5
Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction	5
Existence and stability for the travelling waves of the Benjamin equation	5
Chaotic dynamics in refraction galactic billiards	5
Dispersive hydrodynamics in non-Hermitian nonlinear Schrödinger equation with complex external potential	5
Singular solutions for the conformal Dirac–Einstein problem on the sphere	5
Critical intermittency in rational maps	5
Global existence and modulation analysis for the stochastic Degasperis–Procesi equation with transport noise	5
Soliton solutions of the nonlinear Schrödinger equation with defect conditions	5
Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam	5
Generalized Hardy operators	5
On global dynamics of type-K competitive Kolmogorov differential systems	5
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning	5
Asymptotic limits for strain-gradient viscoelasticity with nonconvex energy	5
Integrable non-local models with Hilbert transform reduced from Schrödinger equations	5
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 map	5
Travelling wave dynamics in the nonlocal dispersal Fisher-KPP equation with distributed delay	5
Normalized multibump solutions to nonlinear Schrödinger equations with steep potential well	5
Pushed and pulled fronts in a logistic Keller–Segel model with chemorepulsion*	5
On a variant of Hilbert’s 16th problem	5
Global well-posedness for 2D fractional inhomogeneous Navier–Stokes equations with rough density	5
Spectral instability of small-amplitude periodic waves of the electronic Euler–Poisson system	5
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
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains	4
Near-resonance approximation of rotating Navier–Stokes equations	4
Wm-algebras and fractional powers of difference operators	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
Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary	4
Periodic solutions of the non-chiral intermediate Heisenberg ferromagnet equation described by elliptic spin Calogero-Moser dynamics	4
Finite-time singularity formation for scalar stretching equations	4
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 flow	4
Global unique solvability of inhomogeneous incompressible Navier–Stokes equations with nonnegative density	4
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 regime	4
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation	4
Soft congestion approximation to the one-dimensional constrained Euler equations	4
Microscopic patterns in the 2D phase-field-crystal model	4
Weighted twisted inhomogeneous diophantine approximation	4
Orbital and parametric normal forms for families of Hopf-zero singularity	4
Global well-posedness of 2D Euler-α equation in exterior domain	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
On the Schrödinger map for regular helical polygons in the hyperbolic space	4
Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line	4
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain	4
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation	4
Boundary effects on the emergence of quasi-periodic solutions for Euler equations	4
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 boundary	4
On formal series solutions to 4th-order quadratic homogeneous differential equations and their convergence	4
Miura-reciprocal transformations and localizable Poisson pencils	4
Chiral limit of twisted trilayer graphene	4
Trace formulas revisited and a new representation of KdV solutions with short-range initial data	4
Singular limit of a chemotaxis model with indirect signal production and phenotype switching	4
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model	4
Normalized solutions for the Kirchhoff equation on noncompact metric graphs *	4
Genericity of historic behavior for maps and flows	4
Critical curve for a two-species chemotaxis model with two chemicals in R2 *	4
Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy	4
Poisson problems involving fractional Hardy operators and measures	4
Algebraic entropy for hex systems	4
Characterisation of the set of ground states of uniformly chaotic finite-range lattice models	4
A model of the cubic connectedness locus	4
On the effect of forcing on fold bifurcations and early-warning signals in population dynamics	4
Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations	4
On the vorticity direction and the regularity of 3D Navier–Stokes equations	4
On the structure of generic subshifts	3
On the group of isometries of planar IFS fractals*	3
Continuity of the Lyapunov exponents of non-invertible random cocycles with constant rank	3
On non-contractible periodic orbits and bounded deviations	3
Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation	3
Finite switching near heteroclinic networks	3
Cramér distance and discretisations of circle expanding maps I: theory	3
Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations	3
Geodesic scattering on hyperboloids and Knörrer’s map	3
Optimal enhanced dissipation for contact Anosov flows	3
Quasi-periodic waves to the defocusing nonlinear Schrödinger equation	3
Existence and decay of mild solutions to fractional dissipative quasi-geostrophic type equations on	3
Some existence results for the Brinkman-Fourier system	3
Amplified steady state bifurcations in feedforward networks	3
Existence of traveling wave solutions for density-dependent diffusion competitive systems	3
Periodic orbits in the Ott–Antonsen manifold	3